TSTP Solution File: SWV961-1 by iProverMo---2.5-0.1

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV961-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n017.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 19:23:37 EDT 2022

% Result   : Unsatisfiable 1.77s 2.09s
% Output   : CNFRefutation 1.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

cnf(cls_CHAINED_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    input ).

fof(cls_CHAINED_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____))
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_0]) ).

cnf(cls_CHAINED_1,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    input ).

fof(cls_CHAINED_1_0,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____))
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_1]) ).

cnf(cls_widens__refl_0,axiom,
    c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty),
    input ).

fof(cls_widens__refl_0_0,plain,
    ! [T_a,V_P,V_xs] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty)
      | $false ),
    inference(orientation,[status(thm)],[cls_widens__refl_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_widen__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
    input ).

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

cnf(cls_TsubTF_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_092_060_094isub_0622____),v_TF____)),
    input ).

fof(cls_TsubTF_0_0,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_092_060_094isub_0622____),v_TF____))
    | $false ),
    inference(orientation,[status(thm)],[cls_TsubTF_0]) ).

cnf(cls_wt_092_060_094isub_0621_H_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
    input ).

fof(cls_wt_092_060_094isub_0621_H_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
    | $false ),
    inference(orientation,[status(thm)],[cls_wt_092_060_094isub_0621_H_0]) ).

cnf(cls_wt_092_060_094isub_0622_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
    input ).

fof(cls_wt_092_060_094isub_0622_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____)
    | $false ),
    inference(orientation,[status(thm)],[cls_wt_092_060_094isub_0622_0]) ).

cnf(cls_has_0,axiom,
    c_TypeRel_Ohas__field(v_P,v_C____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    input ).

fof(cls_has_0_0,plain,
    ( c_TypeRel_Ohas__field(v_P,v_C____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | $false ),
    inference(orientation,[status(thm)],[cls_has_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_list__all2__eq_0,axiom,
    c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a),
    input ).

fof(cls_list__all2__eq_0_0,plain,
    ! [T_a,V_x] :
      ( c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_list__all2__eq_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_red_0,axiom,
    c_in(c_Pair(c_Pair(v_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,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_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_ty_Osimps_I15_J_0,axiom,
    c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OBoolean,
    input ).

fof(cls_ty_Osimps_I15_J_0_0,plain,
    ! [V_list_H] :
      ( c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OBoolean
      | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I15_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_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_wt_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),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(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),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_redp__redsp_ORedSeq_0,axiom,
    c_SmallStep_Oredp(V_P,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,V_e_092_060_094isub_0622,V_s),
    input ).

fof(cls_redp__redsp_ORedSeq_0_0,plain,
    ! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
      ( c_SmallStep_Oredp(V_P,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,V_e_092_060_094isub_0622,V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_ORedSeq_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_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_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_ty_Osimps_I14_J_0,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OClass(V_list_H),
    input ).

fof(cls_ty_Osimps_I14_J_0_0,plain,
    ! [V_list_H] :
      ( c_Type_Oty_OBoolean != c_Type_Oty_OClass(V_list_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I14_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_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_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_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_redp__redsp_ORedTry_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_ORedTry_0_0,plain,
    ! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_ORedTry_0]) ).

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

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

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_wt_092_060_094isub_0621_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
    input ).

fof(cls_wt_092_060_094isub_0621_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
    | $false ),
    inference(orientation,[status(thm)],[cls_wt_092_060_094isub_0621_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_I65_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I65_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OWhile(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_I65_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_exp_Osimps_I179_J_0,axiom,
    c_Expr_Oexp_OWhile(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_I179_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OWhile(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_I179_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_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_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_not__Cons__self_0,axiom,
    V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    input ).

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

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

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

cnf(cls_exp_Osimps_I209_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I209_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I209_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_ty_Osimps_I12_J_0,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_ONT,
    input ).

fof(cls_ty_Osimps_I12_J_0_0,plain,
    ( c_Type_Oty_OBoolean != c_Type_Oty_ONT
    | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I12_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_I42_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,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_I42_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( c_Expr_Oexp_Onew(V_list,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_I42_J_0]) ).

cnf(cls_exp_Osimps_I16_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I16_J_0_0,plain,
    ! [T_a,V_exp_H,V_list,V_list_H] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I16_J_0]) ).

cnf(cls_exp_Osimps_I29_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I29_J_0_0,plain,
    ! [T_a,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_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I29_J_0]) ).

cnf(cls_exp_Osimps_I37_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I37_J_0_0,plain,
    ! [T_a,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_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I37_J_0]) ).

cnf(cls_exp_Osimps_I20_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I20_J_0_0,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_Onew(V_list,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_I20_J_0]) ).

cnf(cls_exp_Osimps_I28_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,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_I28_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_Onew(V_list,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_I28_J_0]) ).

cnf(cls_exp_Osimps_I21_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I21_J_0_0,plain,
    ! [T_a,V_bop_H,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_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I21_J_0]) ).

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_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_ty_Osimps_I13_J_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    input ).

fof(cls_ty_Osimps_I13_J_0_0,plain,
    ( c_Type_Oty_ONT != c_Type_Oty_OBoolean
    | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I13_J_0]) ).

cnf(cls_exp_Osimps_I214_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I214_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3] :
      ( c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I214_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_I64_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I64_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I64_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_I215_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a),
    input ).

fof(cls_exp_Osimps_I215_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3] :
      ( c_Expr_Oexp_OWhile(V_exp1_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_I215_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_I17_J_0,axiom,
    c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I17_J_0_0,plain,
    ! [T_a,V_exp_H,V_list,V_list_H] :
      ( c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I17_J_0]) ).

cnf(cls_exp_Osimps_I223_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I223_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_OWhile(V_exp1,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I223_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_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_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_I208_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I208_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I208_J_0]) ).

cnf(cls_exp_Osimps_I110_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I110_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I110_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_I111_J_0,axiom,
    c_Expr_Oexp_OWhile(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_I111_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( c_Expr_Oexp_OWhile(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_I111_J_0]) ).

cnf(cls_exp_Osimps_I19_J_0,axiom,
    c_Expr_Oexp_OVal(V_val_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I19_J_0_0,plain,
    ! [T_a,V_list,V_val_H] :
      ( c_Expr_Oexp_OVal(V_val_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I19_J_0]) ).

cnf(cls_exp_Osimps_I36_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I36_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( c_Expr_Oexp_Onew(V_list,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_I36_J_0]) ).

cnf(cls_exp_Osimps_I43_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I43_J_0_0,plain,
    ! [T_a,V_a_H,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_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I43_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_I18_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a),
    input ).

fof(cls_exp_Osimps_I18_J_0_0,plain,
    ! [T_a,V_list,V_val_H] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I18_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_I88_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I88_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I88_J_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_exp_Osimps_I39_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I39_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I39_J_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_fun__upd__upd_0,axiom,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b),
    input ).

fof(cls_fun__upd__upd_0_0,plain,
    ! [T_a,T_b,V_f,V_x,V_y,V_z] :
      ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_fun__upd__upd_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_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_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_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_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_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_red__reds_ORedBlock_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OVal(V_u,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_OVal(V_u,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_ORedBlock_0_0,plain,
    ! [V_P,V_T,V_V,V_s,V_u] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OVal(V_u,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_OVal(V_u,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_ORedBlock_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_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_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_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_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_redp__redsp_ORedWhile_0,axiom,
    c_SmallStep_Oredp(V_P,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OCond(V_b,c_Expr_Oexp_OSeq(V_c,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_ORedWhile_0_0,plain,
    ! [V_P,V_b,V_c,V_s] :
      ( c_SmallStep_Oredp(V_P,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OCond(V_b,c_Expr_Oexp_OSeq(V_c,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_ORedWhile_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_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_ORedCastNull_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_OVal(c_Value_Oval_ONull,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_OVal(c_Value_Oval_ONull,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_ORedCastNull_0_0,plain,
    ! [V_C,V_P,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_OVal(c_Value_Oval_ONull,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_OVal(c_Value_Oval_ONull,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_ORedCastNull_0]) ).

cnf(cls_red__reds_ORedWhile_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(V_b,V_c,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_OCond(V_b,c_Expr_Oexp_OSeq(V_c,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_ORedWhile_0_0,plain,
    ! [V_P,V_b,V_c,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(V_b,V_c,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_OCond(V_b,c_Expr_Oexp_OSeq(V_c,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_ORedWhile_0]) ).

cnf(cls_exp_Osimps_I38_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I38_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I38_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_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_I35_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I35_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I35_J_0]) ).

cnf(cls_map__upd__Some__unfold_3,axiom,
    hAPP(c_Fun_Ofun__upd(V_m,V_xa,c_Option_Ooption_OSome(V_x,T_a),T_aa,tc_Option_Ooption(T_a)),V_xa) = c_Option_Ooption_OSome(V_x,T_a),
    input ).

fof(cls_map__upd__Some__unfold_3_0,plain,
    ! [T_a,T_aa,V_m,V_x,V_xa] :
      ( hAPP(c_Fun_Ofun__upd(V_m,V_xa,c_Option_Ooption_OSome(V_x,T_a),T_aa,tc_Option_Ooption(T_a)),V_xa) = c_Option_Ooption_OSome(V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__upd__Some__unfold_3]) ).

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_I34_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I34_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I34_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_exp_Osimps_I178_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I178_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I178_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_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_I89_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I89_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I89_J_0]) ).

cnf(cls_exp_Osimps_I222_J_0,axiom,
    c_Expr_Oexp_OWhile(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_I222_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_OWhile(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_I222_J_0]) ).

cnf(cls_fun__upd__idem__iff_1,axiom,
    c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f,
    input ).

fof(cls_fun__upd__idem__iff_1_0,plain,
    ! [T_a,T_aa,V_f,V_x] :
      ( c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_fun__upd__idem__iff_1]) ).

cnf(cls_fun__upd__apply_0,axiom,
    hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y,
    input ).

fof(cls_fun__upd__apply_0_0,plain,
    ! [T_a,T_aa,V_f,V_x,V_y] :
      ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_fun__upd__apply_0]) ).

cnf(cls_fun__upd__triv_0,axiom,
    c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f,
    input ).

fof(cls_fun__upd__triv_0_0,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_fun__upd__triv_0]) ).

cnf(cls_fun__upd__same_0,axiom,
    hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y,
    input ).

fof(cls_fun__upd__same_0_0,plain,
    ! [T_a,T_b,V_f,V_x,V_y] :
      ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_fun__upd__same_0]) ).

cnf(cls_fun__upd__idem_0,axiom,
    c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f,
    input ).

fof(cls_fun__upd__idem_0_0,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_fun__upd__idem_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_redp__redsp_ORedCastNull_0,axiom,
    c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_ORedCastNull_0_0,plain,
    ! [V_C,V_P,V_s] :
      ( c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_ORedCastNull_0]) ).

cnf(cls_redp__redsp_OFAssThrow2_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OFAssThrow2_0_0,plain,
    ! [V_D,V_F,V_P,V_e,V_s,V_v] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OFAssThrow2_0]) ).

cnf(cls_redp__redsp_OBinOpThrow2_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OBinOpThrow2_0_0,plain,
    ! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OBinOpThrow2_0]) ).

cnf(cls_red__reds_ORedInitBlock_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),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_OVal(V_u,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_ORedInitBlock_0_0,plain,
    ! [V_P,V_T,V_V,V_s,V_u,V_v] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),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_OVal(V_u,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_ORedInitBlock_0]) ).

cnf(cls_redp__redsp_OCastThrow_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OCastThrow_0_0,plain,
    ! [V_C,V_P,V_e,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OCastThrow_0]) ).

cnf(cls_exp_Osimps_I25_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I25_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_list] :
      ( c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I25_J_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_redp__redsp_OFAssThrow1_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OFAssThrow1_0_0,plain,
    ! [V_D,V_F,V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OFAssThrow1_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_is__refT__def_2,axiom,
    c_Type_Ois__refT(c_Type_Oty_OClass(V_x)),
    input ).

fof(cls_is__refT__def_2_0,plain,
    ! [V_x] :
      ( c_Type_Ois__refT(c_Type_Oty_OClass(V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_is__refT__def_2]) ).

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_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_I158_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I158_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I158_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_is__refT__def_1,axiom,
    c_Type_Ois__refT(c_Type_Oty_ONT),
    input ).

fof(cls_is__refT__def_1_0,plain,
    ( c_Type_Ois__refT(c_Type_Oty_ONT)
    | $false ),
    inference(orientation,[status(thm)],[cls_is__refT__def_1]) ).

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_redp__redsp_OFAccThrow_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OFAccThrow_0_0,plain,
    ! [V_D,V_F,V_P,V_e,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OFAccThrow_0]) ).

cnf(cls_exp_Osimps_I27_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I27_J_0_0,plain,
    ! [T_a,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_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I27_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_I33_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I33_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_list,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I33_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_exp_Osimps_I26_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I26_J_0_0,plain,
    ! [T_a,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_Onew(V_list,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_I26_J_0]) ).

cnf(cls_exp_Osimps_I190_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I190_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I190_J_0]) ).

cnf(cls_exp_Osimps_I30_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I30_J_0_0,plain,
    ! [T_a,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_Onew(V_list,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_I30_J_0]) ).

cnf(cls_exp_Osimps_I172_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I172_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp2,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I172_J_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_redp__redsp_ORedBlock_0,axiom,
    c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_ORedBlock_0_0,plain,
    ! [V_P,V_T,V_V,V_s,V_u] :
      ( c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_ORedBlock_0]) ).

cnf(cls_exp_Osimps_I203_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I203_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_ty] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I203_J_0]) ).

cnf(cls_exp_Osimps_I159_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I159_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,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_I159_J_0]) ).

cnf(cls_exp_Osimps_I185_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I185_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,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_I185_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_I40_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I40_J_0_0,plain,
    ! [T_a,V_exp_H,V_list] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I40_J_0]) ).

cnf(cls_exp_Osimps_I148_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I148_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I148_J_0]) ).

cnf(cls_exp_Osimps_I59_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I59_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I59_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_redp__redsp_OBinOpThrow1_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OBinOpThrow1_0_0,plain,
    ! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OBinOpThrow1_0]) ).

cnf(cls_exp_Osimps_I83_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I83_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_ty_H,V_val] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I83_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_I32_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I32_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_list,V_ty_H] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I32_J_0]) ).

cnf(cls_exp_Osimps_I173_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I173_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp2,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,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_I173_J_0]) ).

cnf(cls_typeof__h_Osimps_I2_J_0,axiom,
    c_Objects_Otypeof__h(V_h,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty),
    input ).

fof(cls_typeof__h_Osimps_I2_J_0_0,plain,
    ! [V_h] :
      ( c_Objects_Otypeof__h(V_h,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty)
      | $false ),
    inference(orientation,[status(thm)],[cls_typeof__h_Osimps_I2_J_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_redp__redsp_OSeqThrow_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OSeqThrow_0_0,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OSeqThrow_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_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_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_redp__redsp_ORedInitBlock_0,axiom,
    c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_ORedInitBlock_0_0,plain,
    ! [V_P,V_T,V_V,V_s,V_u,V_v] :
      ( c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_ORedInitBlock_0]) ).

cnf(cls_conf__NT_1,axiom,
    hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Oval_ONull),c_Type_Oty_ONT)),
    input ).

fof(cls_conf__NT_1_0,plain,
    ! [T_a,V_P,V_h] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Oval_ONull),c_Type_Oty_ONT))
      | $false ),
    inference(orientation,[status(thm)],[cls_conf__NT_1]) ).

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_I191_J_0,axiom,
    c_Expr_Oexp_OWhile(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_I191_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OWhile(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_I191_J_0]) ).

cnf(cls_exp_Osimps_I165_J_0,axiom,
    c_Expr_Oexp_OWhile(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_I165_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OWhile(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_I165_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_I31_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I31_J_0_0,plain,
    ! [T_a,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_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I31_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_I204_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a,V_ty,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_I204_J_0_0,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H,V_ty] :
      ( c_Expr_Oexp_OBlock(V_a,V_ty,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_I204_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_I221_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I221_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_OWhile(V_exp1,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I221_J_0]) ).

cnf(cls_typeof__h_Osimps_I1_J_0,axiom,
    c_Objects_Otypeof__h(V_h,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty),
    input ).

fof(cls_typeof__h_Osimps_I1_J_0_0,plain,
    ! [V_h] :
      ( c_Objects_Otypeof__h(V_h,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty)
      | $false ),
    inference(orientation,[status(thm)],[cls_typeof__h_Osimps_I1_J_0]) ).

cnf(cls_exp_Osimps_I82_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I82_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_ty_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I82_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_exp_Osimps_I41_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a),
    input ).

fof(cls_exp_Osimps_I41_J_0_0,plain,
    ! [T_a,V_exp_H,V_list] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I41_J_0]) ).

cnf(cls_exp_Osimps_I143_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I143_J_0_0,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp_H,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I143_J_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_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_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_map__add__upd_0,axiom,
    c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_x,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b)),
    input ).

fof(cls_map__add__upd_0_0,plain,
    ! [T_a,T_b,V_f,V_g,V_x,V_y] :
      ( c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_x,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_map__add__upd_0]) ).

cnf(cls_exp_Osimps_I104_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I104_J_0_0,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H,V_ty_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I104_J_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_redp__redsp_OLAssThrow_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OLAssThrow_0_0,plain,
    ! [V_P,V_V,V_e,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OLAssThrow_0]) ).

cnf(cls_exp_Osimps_I197_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I197_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I197_J_0]) ).

cnf(cls_exp_Osimps_I164_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I164_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_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I164_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_ty_Osimps_I3_J_0,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
    input ).

fof(cls_ty_Osimps_I3_J_0_0,plain,
    ( c_Type_Oty_OBoolean != c_Type_Oty_OVoid
    | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I3_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_exp_Osimps_I24_J_0,axiom,
    c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I24_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_list] :
      ( c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I24_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_val_Osimps_I5_J_0,axiom,
    c_Value_Oval_ONull != c_Value_Oval_OUnit,
    input ).

fof(cls_val_Osimps_I5_J_0_0,plain,
    ( c_Value_Oval_ONull != c_Value_Oval_OUnit
    | $false ),
    inference(orientation,[status(thm)],[cls_val_Osimps_I5_J_0]) ).

cnf(cls_exp_Osimps_I205_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I205_J_0_0,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H,V_ty] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I205_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_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_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_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_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_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_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_val_Osimps_I4_J_0,axiom,
    c_Value_Oval_OUnit != c_Value_Oval_ONull,
    input ).

fof(cls_val_Osimps_I4_J_0_0,plain,
    ( c_Value_Oval_OUnit != c_Value_Oval_ONull
    | $false ),
    inference(orientation,[status(thm)],[cls_val_Osimps_I4_J_0]) ).

cnf(cls_exp_Osimps_I58_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I58_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list,V_ty_H] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I58_J_0]) ).

cnf(cls_exp_Osimps_I198_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I198_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_ty] :
      ( c_Expr_Oexp_OBlock(V_a,V_ty,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_I198_J_0]) ).

cnf(cls_exp_Osimps_I201_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I201_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I201_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_I149_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I149_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( c_Expr_Oexp_OWhile(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_I149_J_0]) ).

cnf(cls_exp_Osimps_I199_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I199_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_ty] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I199_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_exp_Osimps_I202_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I202_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_ty] :
      ( c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I202_J_0]) ).

cnf(cls_exp_Osimps_I220_J_0,axiom,
    c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I220_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I220_J_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_I196_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I196_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I196_J_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_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_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_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_I200_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I200_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I200_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_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_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_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_redp__redsp_OCallThrowObj_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OCallThrowObj_0_0,plain,
    ! [V_M,V_P,V_e,V_es,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OCallThrowObj_0]) ).

cnf(cls_exp_Osimps_I184_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I184_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I184_J_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_redp__redsp_OCondThrow_0,axiom,
    c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OCondThrow_0_0,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
      ( c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OCondThrow_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_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_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]) ).

cnf(cls_redp__redsp_OThrowThrow_0,axiom,
    c_SmallStep_Oredp(V_P,c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_redp__redsp_OThrowThrow_0_0,plain,
    ! [V_P,V_e,V_s] :
      ( c_SmallStep_Oredp(V_P,c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_redp__redsp_OThrowThrow_0]) ).

cnf(cls_ty_Osimps_I2_J_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
    input ).

fof(cls_ty_Osimps_I2_J_0_0,plain,
    ( c_Type_Oty_OVoid != c_Type_Oty_OBoolean
    | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I2_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_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_exp_Osimps_I105_J_0,axiom,
    c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I105_J_0_0,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H,V_ty_H] :
      ( c_Expr_Oexp_OBlock(V_a_H,V_ty_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_I105_J_0]) ).

cnf(cls_exp_Osimps_I142_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I142_J_0_0,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp_H,V_ty_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I142_J_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]) ).

fof(def_lhs_atom1,axiom,
    ! [V_exp_H,V_exp3,V_exp2,V_exp1,T_a] :
      ( lhs_atom1(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_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
      ( lhs_atom1(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_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom2(V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp_H,V_ty_H] :
      ( lhs_atom2(V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I142_J_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom3(V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H,V_ty_H] :
      ( lhs_atom3(V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I105_J_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_list_H] :
      ( lhs_atom4(V_list_H)
    <=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OVoid ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [V_list_H] :
      ( lhs_atom4(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I9_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,
    ( lhs_atom6
  <=> c_Type_Oty_OVoid != c_Type_Oty_OBoolean ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I2_J_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_s,V_e,V_P] :
      ( lhs_atom7(V_s,V_e,V_P)
    <=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [V_P,V_e,V_s] :
      ( lhs_atom7(V_s,V_e,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OThrowThrow_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom8(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_7,plain,
    ! [T_a,V_a,V_exp,V_exp_H] :
      ( lhs_atom8(V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I150_J_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_s,V_e,V_P,V_F,V_D] :
      ( lhs_atom9(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_8,plain,
    ! [V_D,V_F,V_P,V_e,V_s] :
      ( lhs_atom9(V_s,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OFAccThrow_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom10(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_9,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( lhs_atom10(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_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P] :
      ( lhs_atom11(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom11(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_redp__redsp_OCondThrow_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom12(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_11,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom12(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_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom13(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_12,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom13(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_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom14(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_13,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom14(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_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom15(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_14,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom15(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_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom16(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( lhs_atom16(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I184_J_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_s,V_es,V_e,V_P,V_M] :
      ( lhs_atom17(V_s,V_es,V_e,V_P,V_M)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [V_M,V_P,V_e,V_es,V_s] :
      ( lhs_atom17(V_s,V_es,V_e,V_P,V_M)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OCallThrowObj_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom18(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_17,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom18(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_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom19(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_18,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom19(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_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom20(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_19,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom20(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_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom21(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_20,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom21(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_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_list,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom22(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_21,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
      ( lhs_atom22(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_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom23(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( lhs_atom23(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I200_J_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom24(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_23,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom24(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_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom25(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_24,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom25(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_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom26(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_25,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom26(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_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom27(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_26,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom27(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_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom28(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_27,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom28(V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I211_J_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom29(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_28,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom29(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_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_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_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_I140_J_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom31(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_30,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom31(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_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom32(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_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_ty] :
      ( lhs_atom32(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I196_J_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_m3,V_m2,V_m1,T_b,T_a] :
      ( lhs_atom33(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_32,plain,
    ! [T_a,T_b,V_m1,V_m2,V_m3] :
      ( lhs_atom33(V_m3,V_m2,V_m1,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__add__assoc_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom34(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_33,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom34(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_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_exp_H,V_exp3,V_exp2,V_exp1,T_a] :
      ( lhs_atom35(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_34,plain,
    ! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
      ( lhs_atom35(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_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom36(V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom36(V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I220_J_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_ty,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom37(V_ty,V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_ty] :
      ( lhs_atom37(V_ty,V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I202_J_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom38(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_37,plain,
    ! [T_a,V_exp,V_exp_H,V_list] :
      ( lhs_atom38(V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I66_J_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom39(V_ty,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_OBlock(V_a,V_ty,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_ty] :
      ( lhs_atom39(V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I199_J_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom40(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( lhs_atom40(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I149_J_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom41(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_40,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( lhs_atom41(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_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom42(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( lhs_atom42(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I201_J_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom43(V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OBlock(V_a,V_ty,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_42,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_ty] :
      ( lhs_atom43(V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I198_J_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom44(V_ty_H,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_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list,V_ty_H] :
      ( lhs_atom44(V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I58_J_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ( lhs_atom45
  <=> c_Value_Oval_OUnit != c_Value_Oval_ONull ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ( lhs_atom45
    | $false ),
    inference(fold_definition,[status(thm)],[cls_val_Osimps_I4_J_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_s,V_e,V_V,V_P] :
      ( lhs_atom46(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_45,plain,
    ! [V_P,V_V,V_e,V_s] :
      ( lhs_atom46(V_s,V_e,V_V,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OLAssThrow_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_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_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_I141_J_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> c_Type_Oty_ONT != c_Type_Oty_OVoid ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I7_J_0_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom49(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_48,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom49(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_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom50(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_49,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom50(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_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom51(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_50,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom51(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_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom52(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_51,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
      ( lhs_atom52(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_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_ty,V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom53(V_ty,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_OBlock(V_a,V_ty,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H,V_ty] :
      ( lhs_atom53(V_ty,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_I205_J_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> c_Value_Oval_ONull != c_Value_Oval_OUnit ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[cls_val_Osimps_I5_J_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom55(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_54,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom55(V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I210_J_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom56(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_55,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom56(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_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_x,V_R,T_a] :
      ( lhs_atom57(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_56,plain,
    ! [T_a,V_R,V_x] :
      ( lhs_atom57(V_x,V_R,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtrancl__eq__or__trancl_1_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_r,V_a,T_a] :
      ( lhs_atom58(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_57,plain,
    ! [T_a,V_a,V_r] :
      ( lhs_atom58(V_r,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtrancl_Ortrancl__refl_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_list,V_exp_H,V_a_H,T_a] :
      ( lhs_atom59(V_list,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ! [T_a,V_a_H,V_exp_H,V_list] :
      ( lhs_atom59(V_list,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I24_J_0_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom60(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_59,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom60(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_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> c_Type_Oty_OBoolean != c_Type_Oty_OVoid ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I3_J_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom62(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_61,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom62(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_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom63(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_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom63(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I164_J_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom64(V_ty,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_OBlock(V_a,V_ty,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
      ( lhs_atom64(V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I197_J_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ! [V_s,V_e,V_V,V_P] :
      ( lhs_atom65(V_s,V_e,V_V,V_P)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ! [V_P,V_V,V_e,V_s] :
      ( lhs_atom65(V_s,V_e,V_V,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OLAssThrow_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom66(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_65,plain,
    ! [T_a,V_a,V_exp,V_exp_H] :
      ( lhs_atom66(V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I151_J_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom67(V_ty_H,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_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H,V_ty_H] :
      ( lhs_atom67(V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I104_J_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_y,V_x,V_g,V_f,T_b,T_a] :
      ( lhs_atom68(V_y,V_x,V_g,V_f,T_b,T_a)
    <=> c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_x,c_Option_Ooption_OSome(V_y,T_b),T_a,tc_Option_Ooption(T_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ! [T_a,T_b,V_f,V_g,V_x,V_y] :
      ( lhs_atom68(V_y,V_x,V_g,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__add__upd_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom69(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_68,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom69(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_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_s,V_es,V_e,V_P,V_M] :
      ( lhs_atom70(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_69,plain,
    ! [V_M,V_P,V_e,V_es,V_s] :
      ( lhs_atom70(V_s,V_es,V_e,V_P,V_M)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OCallThrowObj_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_val,V_exp_H,T_a] :
      ( lhs_atom71(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_70,plain,
    ! [T_a,V_exp_H,V_val] :
      ( lhs_atom71(V_val,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I90_J_0_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom72(V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp_H,V_ty_H] :
      ( lhs_atom72(V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I143_J_0_0,def_lhs_atom72]) ).

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

fof(to_be_clausified_72,plain,
    ! [T_a,V_exp_H,V_list] :
      ( lhs_atom73(V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I41_J_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom74(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_73,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom74(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_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom75(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_74,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom75(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_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom76(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_75,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom76(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_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_val,V_ty_H,V_exp_H,V_a_H,T_a] :
      ( lhs_atom77(V_val,V_ty_H,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ! [T_a,V_a_H,V_exp_H,V_ty_H,V_val] :
      ( lhs_atom77(V_val,V_ty_H,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I82_J_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_h] :
      ( lhs_atom78(V_h)
    <=> c_Objects_Otypeof__h(V_h,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty) ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ! [V_h] :
      ( lhs_atom78(V_h)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_typeof__h_Osimps_I1_J_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom79(V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom79(V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I221_J_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_list,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom80(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_79,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
      ( lhs_atom80(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_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_ty,V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom81(V_ty,V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a)
    <=> c_Expr_Oexp_OBlock(V_a,V_ty,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_80,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H,V_ty] :
      ( lhs_atom81(V_ty,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_I204_J_0_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_list_H] :
      ( lhs_atom82(V_list_H)
    <=> c_Type_Oty_OVoid != c_Type_Oty_OClass(V_list_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ! [V_list_H] :
      ( lhs_atom82(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I8_J_0_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,T_a] :
      ( lhs_atom83(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ! [T_a,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom83(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I31_J_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom84(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_83,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
      ( lhs_atom84(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_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom85(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_84,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom85(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_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom86(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OWhile(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_85,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom86(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I165_J_0_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom87(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OWhile(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_86,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom87(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I191_J_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom88(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_87,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom88(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_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_h,V_P,T_a] :
      ( lhs_atom89(V_h,V_P,T_a)
    <=> hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Value_Oval_ONull),c_Type_Oty_ONT)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ! [T_a,V_P,V_h] :
      ( lhs_atom89(V_h,V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_conf__NT_1_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_v,V_u,V_s,V_V,V_T,V_P] :
      ( lhs_atom90(V_v,V_u,V_s,V_V,V_T,V_P)
    <=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ! [V_P,V_T,V_V,V_s,V_u,V_v] :
      ( lhs_atom90(V_v,V_u,V_s,V_V,V_T,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedInitBlock_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom91(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_90,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom91(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_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom92(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_91,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom92(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_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_r,T_a] :
      ( lhs_atom93(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_92,plain,
    ! [T_a,V_r] :
      ( lhs_atom93(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtrancl__idemp_0_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom94(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_93,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom94(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_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom95(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_94,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom95(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_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_P] :
      ( lhs_atom96(V_s,V_e_092_060_094isub_0622,V_e,V_P)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom96(V_s,V_e_092_060_094isub_0622,V_e,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OSeqThrow_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom97(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_96,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom97(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_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_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_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_I52_J_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_h] :
      ( lhs_atom99(V_h)
    <=> c_Objects_Otypeof__h(V_h,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ! [V_h] :
      ( lhs_atom99(V_h)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_typeof__h_Osimps_I2_J_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a] :
      ( lhs_atom100(V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,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_99,plain,
    ! [T_a,V_a_H,V_exp1,V_exp2,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( lhs_atom100(V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I173_J_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_ty_H,V_list,V_exp_H,V_a_H,T_a] :
      ( lhs_atom101(V_ty_H,V_list,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ! [T_a,V_a_H,V_exp_H,V_list,V_ty_H] :
      ( lhs_atom101(V_ty_H,V_list,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I32_J_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom102(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_101,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom102(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_atom102]) ).

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

fof(to_be_clausified_102,plain,
    ! [T_a,V_a_H,V_exp_H,V_ty_H,V_val] :
      ( lhs_atom103(V_val,V_ty_H,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I83_J_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P] :
      ( lhs_atom104(V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom104(V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OBinOpThrow1_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom105(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_104,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom105(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_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom106(V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list,V_ty_H] :
      ( lhs_atom106(V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I59_J_0_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom107(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_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( lhs_atom107(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I148_J_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ! [V_list,V_exp_H,T_a] :
      ( lhs_atom108(V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ! [T_a,V_exp_H,V_list] :
      ( lhs_atom108(V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I40_J_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom109(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_108,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
      ( lhs_atom109(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_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom110(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( lhs_atom110(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I185_J_0_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom111(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( lhs_atom111(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I159_J_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_ty,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom112(V_ty,V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OBlock(V_a,V_ty,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_ty] :
      ( lhs_atom112(V_ty,V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I203_J_0_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [V_u,V_s,V_V,V_T,V_P] :
      ( lhs_atom113(V_u,V_s,V_V,V_T,V_P)
    <=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ! [V_P,V_T,V_V,V_s,V_u] :
      ( lhs_atom113(V_u,V_s,V_V,V_T,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedBlock_0_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom114(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_113,plain,
    ! [T_a,V_exp,V_exp_H,V_list] :
      ( lhs_atom114(V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I67_J_0_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_val,V_exp_H,V_a_H,T_a] :
      ( lhs_atom115(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_114,plain,
    ! [T_a,V_a_H,V_exp_H,V_val] :
      ( lhs_atom115(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_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom116(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_115,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom116(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_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom117(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_116,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom117(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_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom118(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_117,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom118(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_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a] :
      ( lhs_atom119(V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ! [T_a,V_a_H,V_exp1,V_exp2,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( lhs_atom119(V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I172_J_0_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,T_a] :
      ( lhs_atom120(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ! [T_a,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom120(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I30_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_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,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_I190_J_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,T_a] :
      ( lhs_atom122(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ! [T_a,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom122(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I26_J_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom123(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_122,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom123(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_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom124(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_123,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom124(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_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [V_ty_H,V_list,V_exp_H,V_a_H,T_a] :
      ( lhs_atom125(V_ty_H,V_list,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ! [T_a,V_a_H,V_exp_H,V_list,V_ty_H] :
      ( lhs_atom125(V_ty_H,V_list,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I33_J_0_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom126(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_125,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom126(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_atom126]) ).

fof(def_lhs_atom127,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom127(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_126,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
      ( lhs_atom127(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_atom127]) ).

fof(def_lhs_atom128,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,T_a] :
      ( lhs_atom128(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ! [T_a,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom128(V_list2_H,V_list1_H,V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I27_J_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_s,V_e,V_P,V_F,V_D] :
      ( lhs_atom129(V_s,V_e,V_P,V_F,V_D)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ! [V_D,V_F,V_P,V_e,V_s] :
      ( lhs_atom129(V_s,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OFAccThrow_0_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ( lhs_atom130
  <=> c_Type_Oty_OVoid != c_Type_Oty_ONT ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ( lhs_atom130
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I6_J_0_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ( lhs_atom131
  <=> c_Type_Ois__refT(c_Type_Oty_ONT) ),
    inference(definition,[],]) ).

fof(to_be_clausified_130,plain,
    ( lhs_atom131
    | $false ),
    inference(fold_definition,[status(thm)],[cls_is__refT__def_1_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom132(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_131,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom132(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_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom133(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OBlock(V_a_H,V_ty_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
      ( lhs_atom133(V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I158_J_0_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom134(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_133,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom134(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_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [V_val,V_exp_H,T_a] :
      ( lhs_atom135(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_134,plain,
    ! [T_a,V_exp_H,V_val] :
      ( lhs_atom135(V_val,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I91_J_0_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_x] :
      ( lhs_atom136(V_x)
    <=> c_Type_Ois__refT(c_Type_Oty_OClass(V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ! [V_x] :
      ( lhs_atom136(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_is__refT__def_2_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom137(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_136,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom137(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_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom138(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_137,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom138(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_atom138]) ).

fof(def_lhs_atom139,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom139(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_138,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom139(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_atom139]) ).

fof(def_lhs_atom140,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D] :
      ( lhs_atom140(V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ! [V_D,V_F,V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom140(V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OFAssThrow1_0_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ! [V_g,V_f,T_b,T_a] :
      ( lhs_atom141(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_140,plain,
    ! [T_a,T_b,V_f,V_g] :
      ( lhs_atom141(V_g,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__le__map__add_0_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ! [V_list,V_exp_H,V_a_H,T_a] :
      ( lhs_atom142(V_list,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ! [T_a,V_a_H,V_exp_H,V_list] :
      ( lhs_atom142(V_list,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I25_J_0_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ! [V_s,V_e,V_P,V_C] :
      ( lhs_atom143(V_s,V_e,V_P,V_C)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ! [V_C,V_P,V_e,V_s] :
      ( lhs_atom143(V_s,V_e,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OCastThrow_0_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ! [V_v,V_u,V_s,V_V,V_T,V_P] :
      ( lhs_atom144(V_v,V_u,V_s,V_V,V_T,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(V_u,tc_List_Olist(tc_String_Ochar)),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_OVal(V_u,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_143,plain,
    ! [V_P,V_T,V_V,V_s,V_u,V_v] :
      ( lhs_atom144(V_v,V_u,V_s,V_V,V_T,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_ORedInitBlock_0_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ! [V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P] :
      ( lhs_atom145(V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
      ( lhs_atom145(V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OBinOpThrow2_0_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ! [V_v,V_s,V_e,V_P,V_F,V_D] :
      ( lhs_atom146(V_v,V_s,V_e,V_P,V_F,V_D)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ! [V_D,V_F,V_P,V_e,V_s,V_v] :
      ( lhs_atom146(V_v,V_s,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_OFAssThrow2_0_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ! [V_s,V_P,V_C] :
      ( lhs_atom147(V_s,V_P,V_C)
    <=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_146,plain,
    ! [V_C,V_P,V_s] :
      ( lhs_atom147(V_s,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedCastNull_0_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom148(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_147,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom148(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_atom148]) ).

fof(def_lhs_atom149,axiom,
    ! [V_x,V_f,T_b,T_a] :
      ( lhs_atom149(V_x,V_f,T_b,T_a)
    <=> c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_148,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( lhs_atom149(V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fun__upd__idem_0_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ! [V_y,V_x,V_f,T_b,T_a] :
      ( lhs_atom150(V_y,V_x,V_f,T_b,T_a)
    <=> hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ),
    inference(definition,[],]) ).

fof(to_be_clausified_149,plain,
    ! [T_a,T_b,V_f,V_x,V_y] :
      ( lhs_atom150(V_y,V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fun__upd__same_0_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ! [V_x,V_f,T_b,T_a] :
      ( lhs_atom151(V_x,V_f,T_b,T_a)
    <=> c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_150,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( lhs_atom151(V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fun__upd__triv_0_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ! [V_y,V_x,V_f,T_aa,T_a] :
      ( lhs_atom152(V_y,V_x,V_f,T_aa,T_a)
    <=> hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ),
    inference(definition,[],]) ).

fof(to_be_clausified_151,plain,
    ! [T_a,T_aa,V_f,V_x,V_y] :
      ( lhs_atom152(V_y,V_x,V_f,T_aa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fun__upd__apply_0_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ! [V_x,V_f,T_aa,T_a] :
      ( lhs_atom153(V_x,V_f,T_aa,T_a)
    <=> c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_152,plain,
    ! [T_a,T_aa,V_f,V_x] :
      ( lhs_atom153(V_x,V_f,T_aa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fun__upd__idem__iff_1_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom154(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OWhile(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_153,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom154(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_I222_J_0_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom155(V_val,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_154,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom155(V_val,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I89_J_0_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
      ( lhs_atom156(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_155,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom156(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_atom156]) ).

fof(def_lhs_atom157,axiom,
    ! [V_list_H] :
      ( lhs_atom157(V_list_H)
    <=> c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_156,plain,
    ! [V_list_H] :
      ( lhs_atom157(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I20_J_0_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom158(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_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_157,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom158(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_I178_J_0_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom159(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_158,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom159(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_atom159]) ).

fof(def_lhs_atom160,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom160(V_list,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_159,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom160(V_list,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I34_J_0_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom161(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_160,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom161(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_atom161]) ).

fof(def_lhs_atom162,axiom,
    ! [V_xa,V_x,V_m,T_aa,T_a] :
      ( lhs_atom162(V_xa,V_x,V_m,T_aa,T_a)
    <=> hAPP(c_Fun_Ofun__upd(V_m,V_xa,c_Option_Ooption_OSome(V_x,T_a),T_aa,tc_Option_Ooption(T_a)),V_xa) = c_Option_Ooption_OSome(V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_161,plain,
    ! [T_a,T_aa,V_m,V_x,V_xa] :
      ( lhs_atom162(V_xa,V_x,V_m,T_aa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__upd__Some__unfold_3_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom163(V_list,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_162,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom163(V_list,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I35_J_0_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ! [V_val_H,V_list,V_exp,T_a] :
      ( lhs_atom164(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_163,plain,
    ! [T_a,V_exp,V_list,V_val_H] :
      ( lhs_atom164(V_val_H,V_list,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I45_J_0_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom165(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_164,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom165(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_atom165]) ).

fof(def_lhs_atom166,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom166(V_list,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_165,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom166(V_list,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I38_J_0_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ! [V_s,V_c,V_b,V_P] :
      ( lhs_atom167(V_s,V_c,V_b,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(V_b,V_c,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_OCond(V_b,c_Expr_Oexp_OSeq(V_c,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_166,plain,
    ! [V_P,V_b,V_c,V_s] :
      ( lhs_atom167(V_s,V_c,V_b,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_ORedWhile_0_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ! [V_s,V_P,V_C] :
      ( lhs_atom168(V_s,V_P,V_C)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_OVal(c_Value_Oval_ONull,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_OVal(c_Value_Oval_ONull,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_167,plain,
    ! [V_C,V_P,V_s] :
      ( lhs_atom168(V_s,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_ORedCastNull_0_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ! [V_v,V_s,V_e,V_P,V_F,V_D] :
      ( lhs_atom169(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_168,plain,
    ! [V_D,V_F,V_P,V_e,V_s,V_v] :
      ( lhs_atom169(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_atom169]) ).

fof(def_lhs_atom170,axiom,
    ! [V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P] :
      ( lhs_atom170(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_169,plain,
    ! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
      ( lhs_atom170(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_atom170]) ).

fof(def_lhs_atom171,axiom,
    ! [V_s,V_c,V_b,V_P] :
      ( lhs_atom171(V_s,V_c,V_b,V_P)
    <=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OCond(V_b,c_Expr_Oexp_OSeq(V_c,c_Expr_Oexp_OWhile(V_b,V_c,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_170,plain,
    ! [V_P,V_b,V_c,V_s] :
      ( lhs_atom171(V_s,V_c,V_b,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedWhile_0_0,def_lhs_atom171]) ).

fof(def_lhs_atom172,axiom,
    ! [V_s,V_e,V_P,V_C] :
      ( lhs_atom172(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_171,plain,
    ! [V_C,V_P,V_e,V_s] :
      ( lhs_atom172(V_s,V_e,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OCastThrow_0_0,def_lhs_atom172]) ).

fof(def_lhs_atom173,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_P] :
      ( lhs_atom173(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_172,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom173(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_atom173]) ).

fof(def_lhs_atom174,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P] :
      ( lhs_atom174(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_173,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom174(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_atom174]) ).

fof(def_lhs_atom175,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D] :
      ( lhs_atom175(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_174,plain,
    ! [V_D,V_F,V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom175(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_atom175]) ).

fof(def_lhs_atom176,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P] :
      ( lhs_atom176(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_175,plain,
    ! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom176(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_atom176]) ).

fof(def_lhs_atom177,axiom,
    ! [V_u,V_s,V_V,V_T,V_P] :
      ( lhs_atom177(V_u,V_s,V_V,V_T,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_OVal(V_u,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_OVal(V_u,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_176,plain,
    ! [V_P,V_T,V_V,V_s,V_u] :
      ( lhs_atom177(V_u,V_s,V_V,V_T,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_ORedBlock_0_0,def_lhs_atom177]) ).

fof(def_lhs_atom178,axiom,
    ! [V_s,V_e,V_P] :
      ( lhs_atom178(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_177,plain,
    ! [V_P,V_e,V_s] :
      ( lhs_atom178(V_s,V_e,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OThrowThrow_0_0,def_lhs_atom178]) ).

fof(def_lhs_atom179,axiom,
    ! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom179(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_178,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( lhs_atom179(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_atom179]) ).

fof(def_lhs_atom180,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom180(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_179,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom180(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_atom180]) ).

fof(def_lhs_atom181,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom181(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_180,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom181(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_atom181]) ).

fof(def_lhs_atom182,axiom,
    ! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom182(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_181,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( lhs_atom182(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_atom182]) ).

fof(def_lhs_atom183,axiom,
    ! [V_v,V_s,V_P] :
      ( lhs_atom183(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_182,plain,
    ! [V_P,V_s,V_v] :
      ( lhs_atom183(V_v,V_s,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Val_0_0,def_lhs_atom183]) ).

fof(def_lhs_atom184,axiom,
    ! [V_z,V_y,V_x,V_f,T_b,T_a] :
      ( lhs_atom184(V_z,V_y,V_x,V_f,T_b,T_a)
    <=> c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_183,plain,
    ! [T_a,T_b,V_f,V_x,V_y,V_z] :
      ( lhs_atom184(V_z,V_y,V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fun__upd__upd_0_0,def_lhs_atom184]) ).

fof(def_lhs_atom185,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom185(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_184,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom185(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_atom185]) ).

fof(def_lhs_atom186,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom186(V_list,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_185,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom186(V_list,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I39_J_0_0,def_lhs_atom186]) ).

fof(def_lhs_atom187,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom187(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_186,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom187(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_atom187]) ).

fof(def_lhs_atom188,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom188(V_val,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_187,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom188(V_val,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I88_J_0_0,def_lhs_atom188]) ).

fof(def_lhs_atom189,axiom,
    ! [V_val_H,V_list,V_exp,T_a] :
      ( lhs_atom189(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_188,plain,
    ! [T_a,V_exp,V_list,V_val_H] :
      ( lhs_atom189(V_val_H,V_list,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I44_J_0_0,def_lhs_atom189]) ).

fof(def_lhs_atom190,axiom,
    ! [V_val_H,V_list,T_a] :
      ( lhs_atom190(V_val_H,V_list,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_189,plain,
    ! [T_a,V_list,V_val_H] :
      ( lhs_atom190(V_val_H,V_list,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I18_J_0_0,def_lhs_atom190]) ).

fof(def_lhs_atom191,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a] :
      ( lhs_atom191(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_190,plain,
    ! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom191(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_atom191]) ).

fof(def_lhs_atom192,axiom,
    ! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_a_H,T_a] :
      ( lhs_atom192(V_list_H,V_list,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_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_191,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( lhs_atom192(V_list_H,V_list,V_exp2_H,V_exp1_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I43_J_0_0,def_lhs_atom192]) ).

fof(def_lhs_atom193,axiom,
    ! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom193(V_list,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_192,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( lhs_atom193(V_list,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I36_J_0_0,def_lhs_atom193]) ).

fof(def_lhs_atom194,axiom,
    ! [V_val_H,V_list,T_a] :
      ( lhs_atom194(V_val_H,V_list,T_a)
    <=> c_Expr_Oexp_OVal(V_val_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_193,plain,
    ! [T_a,V_list,V_val_H] :
      ( lhs_atom194(V_val_H,V_list,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I19_J_0_0,def_lhs_atom194]) ).

fof(def_lhs_atom195,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom195(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OWhile(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_194,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom195(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I111_J_0_0,def_lhs_atom195]) ).

fof(def_lhs_atom196,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom196(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_195,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom196(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_atom196]) ).

fof(def_lhs_atom197,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom197(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_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_196,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom197(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I110_J_0_0,def_lhs_atom197]) ).

fof(def_lhs_atom198,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom198(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_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_197,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom198(V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I208_J_0_0,def_lhs_atom198]) ).

fof(def_lhs_atom199,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom199(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_198,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom199(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_atom199]) ).

fof(def_lhs_atom200,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom200(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_199,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom200(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_atom200]) ).

fof(def_lhs_atom201,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a] :
      ( lhs_atom201(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_200,plain,
    ! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom201(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_atom201]) ).

fof(def_lhs_atom202,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom202(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_OWhile(V_exp1,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_201,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom202(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_I223_J_0_0,def_lhs_atom202]) ).

fof(def_lhs_atom203,axiom,
    ! [V_list_H,V_list,V_exp_H,T_a] :
      ( lhs_atom203(V_list_H,V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a) != c_Expr_Oexp_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_202,plain,
    ! [T_a,V_exp_H,V_list,V_list_H] :
      ( lhs_atom203(V_list_H,V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I17_J_0_0,def_lhs_atom203]) ).

fof(def_lhs_atom204,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom204(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_203,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom204(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_atom204]) ).

fof(def_lhs_atom205,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
      ( lhs_atom205(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_204,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom205(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_atom205]) ).

fof(def_lhs_atom206,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom206(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_205,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom206(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_atom206]) ).

fof(def_lhs_atom207,axiom,
    ! [V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom207(V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_206,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3] :
      ( lhs_atom207(V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I215_J_0_0,def_lhs_atom207]) ).

fof(def_lhs_atom208,axiom,
    ! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom208(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_207,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( lhs_atom208(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_atom208]) ).

fof(def_lhs_atom209,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom209(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_208,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom209(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_atom209]) ).

fof(def_lhs_atom210,axiom,
    ! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom210(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_209,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( lhs_atom210(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_atom210]) ).

fof(def_lhs_atom211,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom211(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_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_210,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom211(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I64_J_0_0,def_lhs_atom211]) ).

fof(def_lhs_atom212,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom212(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_211,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom212(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_atom212]) ).

fof(def_lhs_atom213,axiom,
    ! [V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom213(V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_212,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3] :
      ( lhs_atom213(V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I214_J_0_0,def_lhs_atom213]) ).

fof(def_lhs_atom214,axiom,
    ( lhs_atom214
  <=> c_Type_Oty_ONT != c_Type_Oty_OBoolean ),
    inference(definition,[],]) ).

fof(to_be_clausified_213,plain,
    ( lhs_atom214
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I13_J_0_0,def_lhs_atom214]) ).

fof(def_lhs_atom215,axiom,
    ! [V_v,V_s,V_e_092_060_094isub_0622,V_P] :
      ( lhs_atom215(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_214,plain,
    ! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
      ( lhs_atom215(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_atom215]) ).

fof(def_lhs_atom216,axiom,
    ! [V_list_H] :
      ( lhs_atom216(V_list_H)
    <=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT ),
    inference(definition,[],]) ).

fof(to_be_clausified_215,plain,
    ! [V_list_H] :
      ( lhs_atom216(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I21_J_0_0,def_lhs_atom216]) ).

fof(def_lhs_atom217,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
      ( lhs_atom217(V_list,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_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_216,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom217(V_list,V_exp2_H,V_exp1_H,V_bop_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I21_J_0_0,def_lhs_atom217]) ).

fof(def_lhs_atom218,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom218(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,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_217,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom218(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I28_J_0_0,def_lhs_atom218]) ).

fof(def_lhs_atom219,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
      ( lhs_atom219(V_list,V_exp2_H,V_exp1_H,V_bop_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_218,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom219(V_list,V_exp2_H,V_exp1_H,V_bop_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I20_J_0_0,def_lhs_atom219]) ).

fof(def_lhs_atom220,axiom,
    ! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom220(V_list,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_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_219,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( lhs_atom220(V_list,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I37_J_0_0,def_lhs_atom220]) ).

fof(def_lhs_atom221,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom221(V_list2_H,V_list1_H,V_list,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_Onew(V_list,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_220,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom221(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I29_J_0_0,def_lhs_atom221]) ).

fof(def_lhs_atom222,axiom,
    ! [V_list_H,V_list,V_exp_H,T_a] :
      ( lhs_atom222(V_list_H,V_list,V_exp_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_221,plain,
    ! [T_a,V_exp_H,V_list,V_list_H] :
      ( lhs_atom222(V_list_H,V_list,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I16_J_0_0,def_lhs_atom222]) ).

fof(def_lhs_atom223,axiom,
    ! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_a_H,T_a] :
      ( lhs_atom223(V_list_H,V_list,V_exp2_H,V_exp1_H,V_a_H,T_a)
    <=> c_Expr_Oexp_Onew(V_list,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_222,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( lhs_atom223(V_list_H,V_list,V_exp2_H,V_exp1_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I42_J_0_0,def_lhs_atom223]) ).

fof(def_lhs_atom224,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom224(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_223,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom224(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_atom224]) ).

fof(def_lhs_atom225,axiom,
    ( lhs_atom225
  <=> c_Type_Oty_OBoolean != c_Type_Oty_ONT ),
    inference(definition,[],]) ).

fof(to_be_clausified_224,plain,
    ( lhs_atom225
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I12_J_0_0,def_lhs_atom225]) ).

fof(def_lhs_atom226,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom226(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_225,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom226(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_atom226]) ).

fof(def_lhs_atom227,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom227(V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_226,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom227(V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I209_J_0_0,def_lhs_atom227]) ).

fof(def_lhs_atom228,axiom,
    ! [V_x,V_t,T_a] :
      ( lhs_atom228(V_x,V_t,T_a)
    <=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
    inference(definition,[],]) ).

fof(to_be_clausified_227,plain,
    ! [T_a,V_t,V_x] :
      ( lhs_atom228(V_x,V_t,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self2_0_0,def_lhs_atom228]) ).

fof(def_lhs_atom229,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom229(V_xs,V_x,T_a)
    <=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_228,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom229(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self_0_0,def_lhs_atom229]) ).

fof(def_lhs_atom230,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom230(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_229,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom230(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_atom230]) ).

fof(def_lhs_atom231,axiom,
    ! [V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C] :
      ( lhs_atom231(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_230,plain,
    ! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
      ( lhs_atom231(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_atom231]) ).

fof(def_lhs_atom232,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom232(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_231,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom232(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_atom232]) ).

fof(def_lhs_atom233,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom233(V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OWhile(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_232,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom233(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_I179_J_0_0,def_lhs_atom233]) ).

fof(def_lhs_atom234,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom234(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_233,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom234(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_atom234]) ).

fof(def_lhs_atom235,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom235(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_234,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom235(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I65_J_0_0,def_lhs_atom235]) ).

fof(def_lhs_atom236,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom236(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_235,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom236(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_atom236]) ).

fof(def_lhs_atom237,axiom,
    ( lhs_atom237
  <=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_236,plain,
    ( lhs_atom237
    | $false ),
    inference(fold_definition,[status(thm)],[cls_wt_092_060_094isub_0621_0_0,def_lhs_atom237]) ).

fof(def_lhs_atom238,axiom,
    ! [V_h] :
      ( lhs_atom238(V_h)
    <=> c_Objects_Ohext(V_h,V_h) ),
    inference(definition,[],]) ).

fof(to_be_clausified_237,plain,
    ! [V_h] :
      ( lhs_atom238(V_h)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_hext__refl_0_0,def_lhs_atom238]) ).

fof(def_lhs_atom239,axiom,
    ! [V_P,V_C,T_a] :
      ( lhs_atom239(V_P,V_C,T_a)
    <=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),c_Type_Oty_OClass(V_C))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_238,plain,
    ! [T_a,V_C,V_P] :
      ( lhs_atom239(V_P,V_C,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_widen__Class_2_0,def_lhs_atom239]) ).

fof(def_lhs_atom240,axiom,
    ! [V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C] :
      ( lhs_atom240(V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C)
    <=> c_SmallStep_Oredp(V_P,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,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_239,plain,
    ! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
      ( lhs_atom240(V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedTry_0_0,def_lhs_atom240]) ).

fof(def_lhs_atom241,axiom,
    ! [V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom241(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_240,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
      ( lhs_atom241(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_atom241]) ).

fof(def_lhs_atom242,axiom,
    ! [V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom242(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_241,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
      ( lhs_atom242(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_atom242]) ).

fof(def_lhs_atom243,axiom,
    ! [V_P,T_a] :
      ( lhs_atom243(V_P,T_a)
    <=> c_COMBI(V_P,T_a) = V_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_242,plain,
    ! [T_a,V_P] :
      ( lhs_atom243(V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def_0_0,def_lhs_atom243]) ).

fof(def_lhs_atom244,axiom,
    ! [V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom244(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_243,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
      ( lhs_atom244(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_atom244]) ).

fof(def_lhs_atom245,axiom,
    ! [V_list_H] :
      ( lhs_atom245(V_list_H)
    <=> c_Type_Oty_OBoolean != c_Type_Oty_OClass(V_list_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_244,plain,
    ! [V_list_H] :
      ( lhs_atom245(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I14_J_0_0,def_lhs_atom245]) ).

fof(def_lhs_atom246,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom246(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_245,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom246(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_atom246]) ).

fof(def_lhs_atom247,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom247(V_f,T_b,T_a)
    <=> c_Map_Omap__le(V_f,V_f,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_246,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom247(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__le__refl_0_0,def_lhs_atom247]) ).

fof(def_lhs_atom248,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom248(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_247,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom248(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_atom248]) ).

fof(def_lhs_atom249,axiom,
    ! [V_v,V_s,V_e_092_060_094isub_0622,V_P] :
      ( lhs_atom249(V_v,V_s,V_e_092_060_094isub_0622,V_P)
    <=> c_SmallStep_Oredp(V_P,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,V_e_092_060_094isub_0622,V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_248,plain,
    ! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
      ( lhs_atom249(V_v,V_s,V_e_092_060_094isub_0622,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedSeq_0_0,def_lhs_atom249]) ).

fof(def_lhs_atom250,axiom,
    ( lhs_atom250
  <=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_249,plain,
    ( lhs_atom250
    | $false ),
    inference(fold_definition,[status(thm)],[cls_wt_0_0,def_lhs_atom250]) ).

fof(def_lhs_atom251,axiom,
    ! [V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a] :
      ( lhs_atom251(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_250,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
      ( lhs_atom251(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_atom251]) ).

fof(def_lhs_atom252,axiom,
    ! [V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom252(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_251,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
      ( lhs_atom252(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_atom252]) ).

fof(def_lhs_atom253,axiom,
    ! [V_list_H] :
      ( lhs_atom253(V_list_H)
    <=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OBoolean ),
    inference(definition,[],]) ).

fof(to_be_clausified_252,plain,
    ! [V_list_H] :
      ( lhs_atom253(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I15_J_0_0,def_lhs_atom253]) ).

fof(def_lhs_atom254,axiom,
    ( lhs_atom254
  <=> 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_253,plain,
    ( lhs_atom254
    | $false ),
    inference(fold_definition,[status(thm)],[cls_conf_0_0,def_lhs_atom254]) ).

fof(def_lhs_atom255,axiom,
    ( lhs_atom255
  <=> c_in(c_Pair(c_Pair(v_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,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_254,plain,
    ( lhs_atom255
    | $false ),
    inference(fold_definition,[status(thm)],[cls_red_0_0,def_lhs_atom255]) ).

fof(def_lhs_atom256,axiom,
    ! [V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a] :
      ( lhs_atom256(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_255,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
      ( lhs_atom256(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_atom256]) ).

fof(def_lhs_atom257,axiom,
    ! [V_x,T_a] :
      ( lhs_atom257(V_x,T_a)
    <=> c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_256,plain,
    ! [T_a,V_x] :
      ( lhs_atom257(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_list__all2__eq_0_0,def_lhs_atom257]) ).

fof(def_lhs_atom258,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom258(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_257,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom258(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_atom258]) ).

fof(def_lhs_atom259,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom259(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_258,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom259(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_atom259]) ).

fof(def_lhs_atom260,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom260(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_259,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom260(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_atom260]) ).

fof(def_lhs_atom261,axiom,
    ( lhs_atom261
  <=> c_TypeRel_Ohas__field(v_P,v_C____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_260,plain,
    ( lhs_atom261
    | $false ),
    inference(fold_definition,[status(thm)],[cls_has_0_0,def_lhs_atom261]) ).

fof(def_lhs_atom262,axiom,
    ( lhs_atom262
  <=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_261,plain,
    ( lhs_atom262
    | $false ),
    inference(fold_definition,[status(thm)],[cls_wt_092_060_094isub_0622_0_0,def_lhs_atom262]) ).

fof(def_lhs_atom263,axiom,
    ( lhs_atom263
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_262,plain,
    ( lhs_atom263
    | $false ),
    inference(fold_definition,[status(thm)],[cls_wt_092_060_094isub_0621_H_0_0,def_lhs_atom263]) ).

fof(def_lhs_atom264,axiom,
    ( lhs_atom264
  <=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_092_060_094isub_0622____),v_TF____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_263,plain,
    ( lhs_atom264
    | $false ),
    inference(fold_definition,[status(thm)],[cls_TsubTF_0_0,def_lhs_atom264]) ).

fof(def_lhs_atom265,axiom,
    ! [V_T,V_P,T_a] :
      ( lhs_atom265(V_T,V_P,T_a)
    <=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_264,plain,
    ! [T_a,V_P,V_T] :
      ( lhs_atom265(V_T,V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_widen__refl_0_0,def_lhs_atom265]) ).

fof(def_lhs_atom266,axiom,
    ( lhs_atom266
  <=> c_COMBI(v_P,t_a) = v_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_265,plain,
    ( lhs_atom266
    | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def__raw_0_0,def_lhs_atom266]) ).

fof(def_lhs_atom267,axiom,
    ! [V_xs,V_P,T_a] :
      ( lhs_atom267(V_xs,V_P,T_a)
    <=> c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty) ),
    inference(definition,[],]) ).

fof(to_be_clausified_266,plain,
    ! [T_a,V_P,V_xs] :
      ( lhs_atom267(V_xs,V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_widens__refl_0_0,def_lhs_atom267]) ).

fof(def_lhs_atom268,axiom,
    ( lhs_atom268
  <=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_267,plain,
    ( lhs_atom268
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_1_0,def_lhs_atom268]) ).

fof(def_lhs_atom269,axiom,
    ( lhs_atom269
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_268,plain,
    ( lhs_atom269
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom269]) ).

fof(def_lhs_atom270,axiom,
    ! [V_x,T_a] :
      ( lhs_atom270(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_269,plain,
    ! [T_a,V_x] :
      ( lhs_atom270(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom270]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X11,X24,X25,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom204(X11,X24,X25,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_203) ).

fof(c_0_1,axiom,
    ! [X11,X24,X25,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom199(X11,X24,X25,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_198) ).

fof(c_0_2,axiom,
    ! [X11,X2,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom252(X11,X2,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_251) ).

fof(c_0_3,axiom,
    ! [X11,X2,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom241(X11,X2,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_240) ).

fof(c_0_4,axiom,
    ! [X22,X23,X18,X3,X19,X4,X10,X5] :
      ( lhs_atom232(X22,X23,X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_231) ).

fof(c_0_5,axiom,
    ! [X11,X18,X3,X19,X4,X10,X8,X5] :
      ( lhs_atom226(X11,X18,X3,X19,X4,X10,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_225) ).

fof(c_0_6,axiom,
    ! [X24,X25,X26,X18,X3,X19,X4,X5] :
      ( lhs_atom224(X24,X25,X26,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_223) ).

fof(c_0_7,axiom,
    ! [X24,X25,X26,X18,X3,X19,X4,X5] :
      ( lhs_atom206(X24,X25,X26,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_205) ).

fof(c_0_8,axiom,
    ! [X22,X23,X18,X3,X19,X4,X10,X5] :
      ( lhs_atom196(X22,X23,X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_195) ).

fof(c_0_9,axiom,
    ! [X11,X18,X3,X19,X4,X10,X8,X5] :
      ( lhs_atom185(X11,X18,X3,X19,X4,X10,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_184) ).

fof(c_0_10,axiom,
    ! [X22,X24,X23,X25,X1,X3,X4,X5] :
      ( lhs_atom126(X22,X24,X23,X25,X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_11,axiom,
    ! [X6,X24,X25,X1,X3,X4,X8,X5] :
      ( lhs_atom119(X6,X24,X25,X1,X3,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_12,axiom,
    ! [X6,X24,X25,X1,X3,X4,X8,X5] :
      ( lhs_atom100(X6,X24,X25,X1,X3,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_13,axiom,
    ! [X30,X11,X18,X19,X7,X8,X9,X5] :
      ( lhs_atom81(X30,X11,X18,X19,X7,X8,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_14,axiom,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] :
      ( lhs_atom76(X11,X24,X25,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_15,axiom,
    ! [X22,X24,X23,X25,X18,X19,X7,X5] :
      ( lhs_atom69(X22,X24,X23,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_16,axiom,
    ! [X30,X11,X18,X19,X7,X8,X9,X5] :
      ( lhs_atom53(X30,X11,X18,X19,X7,X8,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_17,axiom,
    ! [X22,X24,X23,X25,X1,X3,X4,X5] :
      ( lhs_atom51(X22,X24,X23,X25,X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_18,axiom,
    ! [X22,X24,X23,X25,X18,X19,X7,X5] :
      ( lhs_atom50(X22,X24,X23,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_19,axiom,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] :
      ( lhs_atom34(X11,X24,X25,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_20,axiom,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] :
      ( lhs_atom26(X11,X24,X25,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_21,axiom,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] :
      ( lhs_atom24(X11,X24,X25,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_22,axiom,
    ! [X11,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom260(X11,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_259) ).

fof(c_0_23,axiom,
    ! [X11,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom259(X11,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_258) ).

fof(c_0_24,axiom,
    ! [X24,X25,X18,X3,X19,X4,X5] :
      ( lhs_atom233(X24,X25,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_232) ).

fof(c_0_25,axiom,
    ! [X24,X25,X18,X3,X19,X4,X5] :
      ( lhs_atom230(X24,X25,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_229) ).

fof(c_0_26,axiom,
    ! [X22,X23,X29,X18,X19,X7,X5] :
      ( lhs_atom209(X22,X23,X29,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_208) ).

fof(c_0_27,axiom,
    ! [X11,X29,X18,X19,X7,X8,X5] :
      ( lhs_atom208(X11,X29,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_207) ).

fof(c_0_28,axiom,
    ! [X11,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom202(X11,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_201) ).

fof(c_0_29,axiom,
    ! [X26,X18,X3,X19,X4,X10,X5] :
      ( lhs_atom200(X26,X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_199) ).

fof(c_0_30,axiom,
    ! [X24,X25,X18,X3,X19,X4,X5] :
      ( lhs_atom187(X24,X25,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_186) ).

fof(c_0_31,axiom,
    ! [X11,X29,X18,X19,X7,X8,X5] :
      ( lhs_atom182(X11,X29,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_181) ).

fof(c_0_32,axiom,
    ! [X26,X18,X3,X19,X4,X10,X5] :
      ( lhs_atom159(X26,X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_33,axiom,
    ! [X24,X25,X18,X3,X19,X4,X5] :
      ( lhs_atom158(X24,X25,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_34,axiom,
    ! [X11,X18,X3,X19,X4,X8,X5] :
      ( lhs_atom154(X11,X18,X3,X19,X4,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_35,axiom,
    ! [X22,X23,X29,X18,X19,X7,X5] :
      ( lhs_atom148(X22,X23,X29,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_36,axiom,
    ! [X22,X24,X23,X25,X1,X7,X5] :
      ( lhs_atom138(X22,X24,X23,X25,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_37,axiom,
    ! [X11,X18,X19,X7,X8,X9,X5] :
      ( lhs_atom137(X11,X18,X19,X7,X8,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_38,axiom,
    ! [X6,X24,X25,X1,X7,X8,X5] :
      ( lhs_atom133(X6,X24,X25,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_39,axiom,
    ! [X24,X25,X26,X18,X19,X7,X5] :
      ( lhs_atom118(X24,X25,X26,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_40,axiom,
    ! [X6,X24,X25,X1,X7,X8,X5] :
      ( lhs_atom111(X6,X24,X25,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_41,axiom,
    ! [X6,X24,X25,X1,X7,X8,X5] :
      ( lhs_atom110(X6,X24,X25,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_42,axiom,
    ! [X22,X23,X1,X3,X4,X10,X5] :
      ( lhs_atom95(X22,X23,X1,X3,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_43,axiom,
    ! [X22,X23,X1,X3,X4,X10,X5] :
      ( lhs_atom88(X22,X23,X1,X3,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_44,axiom,
    ! [X11,X18,X19,X7,X8,X9,X5] :
      ( lhs_atom85(X11,X18,X19,X7,X8,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_45,axiom,
    ! [X6,X1,X3,X4,X10,X8,X5] :
      ( lhs_atom67(X6,X1,X3,X4,X10,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_46,axiom,
    ! [X22,X24,X23,X25,X1,X7,X5] :
      ( lhs_atom60(X22,X24,X23,X25,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_47,axiom,
    ! [X30,X26,X18,X19,X7,X9,X5] :
      ( lhs_atom43(X30,X26,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_48,axiom,
    ! [X30,X26,X18,X19,X7,X9,X5] :
      ( lhs_atom39(X30,X26,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_49,axiom,
    ! [X22,X23,X18,X19,X7,X9,X5] :
      ( lhs_atom29(X22,X23,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_50,axiom,
    ! [X24,X25,X26,X18,X19,X7,X5] :
      ( lhs_atom27(X24,X25,X26,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_51,axiom,
    ! [X24,X25,X26,X18,X19,X7,X5] :
      ( lhs_atom25(X24,X25,X26,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_52,axiom,
    ! [X22,X23,X18,X19,X7,X9,X5] :
      ( lhs_atom20(X22,X23,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_53,axiom,
    ! [X6,X24,X25,X1,X7,X8,X5] :
      ( lhs_atom16(X6,X24,X25,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_54,axiom,
    ! [X24,X25,X26,X18,X19,X7,X5] :
      ( lhs_atom15(X24,X25,X26,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_55,axiom,
    ! [X22,X23,X1,X3,X4,X10,X5] :
      ( lhs_atom13(X22,X23,X1,X3,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_56,axiom,
    ! [X22,X23,X1,X3,X4,X10,X5] :
      ( lhs_atom12(X22,X23,X1,X3,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_57,axiom,
    ! [X6,X1,X3,X4,X10,X8,X5] :
      ( lhs_atom3(X6,X1,X3,X4,X10,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_58,axiom,
    ! [X12,X11,X18,X19,X8,X5] :
      ( lhs_atom256(X12,X11,X18,X19,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_255) ).

fof(c_0_59,axiom,
    ! [X12,X11,X18,X19,X8,X5] :
      ( lhs_atom251(X12,X11,X18,X19,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_250) ).

fof(c_0_60,axiom,
    ! [X26,X18,X3,X19,X4,X5] :
      ( lhs_atom248(X26,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_247) ).

fof(c_0_61,axiom,
    ! [X26,X18,X3,X19,X4,X5] :
      ( lhs_atom246(X26,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_245) ).

fof(c_0_62,axiom,
    ! [X43,X13,X20,X35,X15,X46] :
      ( lhs_atom240(X43,X13,X20,X35,X15,X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_239) ).

fof(c_0_63,axiom,
    ! [X43,X13,X20,X35,X15,X46] :
      ( lhs_atom231(X43,X13,X20,X35,X15,X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_230) ).

fof(c_0_64,axiom,
    ! [X11,X29,X18,X19,X8,X5] :
      ( lhs_atom223(X11,X29,X18,X19,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_222) ).

fof(c_0_65,axiom,
    ! [X22,X23,X29,X18,X19,X5] :
      ( lhs_atom221(X22,X23,X29,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_220) ).

fof(c_0_66,axiom,
    ! [X22,X23,X29,X18,X19,X5] :
      ( lhs_atom218(X22,X23,X29,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_217) ).

fof(c_0_67,axiom,
    ! [X2,X18,X3,X19,X4,X5] :
      ( lhs_atom213(X2,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_212) ).

fof(c_0_68,axiom,
    ! [X12,X22,X23,X18,X19,X5] :
      ( lhs_atom212(X12,X22,X23,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_211) ).

fof(c_0_69,axiom,
    ! [X29,X26,X18,X19,X7,X5] :
      ( lhs_atom210(X29,X26,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_209) ).

fof(c_0_70,axiom,
    ! [X2,X18,X3,X19,X4,X5] :
      ( lhs_atom207(X2,X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_206) ).

fof(c_0_71,axiom,
    ! [X29,X18,X19,X7,X49,X5] :
      ( lhs_atom201(X29,X18,X19,X7,X49,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_200) ).

fof(c_0_72,axiom,
    ! [X18,X3,X19,X4,X10,X5] :
      ( lhs_atom197(X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_196) ).

fof(c_0_73,axiom,
    ! [X18,X3,X19,X4,X10,X5] :
      ( lhs_atom195(X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_194) ).

fof(c_0_74,axiom,
    ! [X11,X29,X18,X19,X8,X5] :
      ( lhs_atom192(X11,X29,X18,X19,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_191) ).

fof(c_0_75,axiom,
    ! [X29,X18,X19,X7,X49,X5] :
      ( lhs_atom191(X29,X18,X19,X7,X49,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_190) ).

fof(c_0_76,axiom,
    ! [X55,X39,X36,X41,X34,X5] :
      ( lhs_atom184(X55,X39,X36,X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_183) ).

fof(c_0_77,axiom,
    ! [X18,X3,X19,X4,X10,X5] :
      ( lhs_atom181(X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_180) ).

fof(c_0_78,axiom,
    ! [X18,X3,X19,X4,X10,X5] :
      ( lhs_atom180(X18,X3,X19,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_179) ).

fof(c_0_79,axiom,
    ! [X29,X26,X18,X19,X7,X5] :
      ( lhs_atom179(X29,X26,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_178) ).

fof(c_0_80,axiom,
    ! [X13,X20,X14,X15,X16,X17] :
      ( lhs_atom175(X13,X20,X14,X15,X16,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_174) ).

fof(c_0_81,axiom,
    ! [X43,X13,X14,X15,X16,X17] :
      ( lhs_atom169(X43,X13,X14,X15,X16,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_82,axiom,
    ! [X12,X22,X23,X18,X19,X5] :
      ( lhs_atom165(X12,X22,X23,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_83,axiom,
    ! [X43,X13,X14,X15,X16,X17] :
      ( lhs_atom146(X43,X13,X14,X15,X16,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_84,axiom,
    ! [X43,X44,X13,X35,X45,X15] :
      ( lhs_atom144(X43,X44,X13,X35,X45,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_85,axiom,
    ! [X13,X20,X14,X15,X16,X17] :
      ( lhs_atom140(X13,X20,X14,X15,X16,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_86,axiom,
    ! [X22,X23,X29,X1,X7,X5] :
      ( lhs_atom134(X22,X23,X29,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_87,axiom,
    ! [X1,X3,X4,X10,X8,X5] :
      ( lhs_atom132(X1,X3,X4,X10,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_88,axiom,
    ! [X24,X25,X1,X3,X4,X5] :
      ( lhs_atom127(X24,X25,X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_89,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom121(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_90,axiom,
    ! [X24,X25,X1,X3,X4,X5] :
      ( lhs_atom109(X24,X25,X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_91,axiom,
    ! [X6,X29,X1,X7,X8,X5] :
      ( lhs_atom106(X6,X29,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_92,axiom,
    ! [X11,X18,X19,X7,X8,X5] :
      ( lhs_atom102(X11,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_93,axiom,
    ! [X22,X23,X29,X1,X7,X5] :
      ( lhs_atom98(X22,X23,X29,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_94,axiom,
    ! [X22,X23,X29,X1,X7,X5] :
      ( lhs_atom97(X22,X23,X29,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_95,axiom,
    ! [X22,X23,X1,X7,X9,X5] :
      ( lhs_atom94(X22,X23,X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_96,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom92(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_97,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom91(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_98,axiom,
    ! [X43,X44,X13,X35,X45,X15] :
      ( lhs_atom90(X43,X44,X13,X35,X45,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_99,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom87(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_100,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom86(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_101,axiom,
    ! [X26,X18,X19,X7,X9,X5] :
      ( lhs_atom84(X26,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_102,axiom,
    ! [X6,X1,X7,X8,X9,X5] :
      ( lhs_atom72(X6,X1,X7,X8,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_103,axiom,
    ! [X39,X36,X40,X41,X34,X5] :
      ( lhs_atom68(X39,X36,X40,X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_104,axiom,
    ! [X30,X18,X19,X7,X9,X5] :
      ( lhs_atom64(X30,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_105,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom63(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_106,axiom,
    ! [X22,X23,X29,X1,X7,X5] :
      ( lhs_atom62(X22,X23,X29,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_107,axiom,
    ! [X26,X18,X19,X7,X9,X5] :
      ( lhs_atom52(X26,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_108,axiom,
    ! [X11,X18,X19,X7,X8,X5] :
      ( lhs_atom49(X11,X18,X19,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_109,axiom,
    ! [X22,X23,X1,X7,X9,X5] :
      ( lhs_atom47(X22,X23,X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_110,axiom,
    ! [X6,X29,X1,X7,X8,X5] :
      ( lhs_atom44(X6,X29,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_111,axiom,
    ! [X30,X18,X19,X7,X9,X5] :
      ( lhs_atom42(X30,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_112,axiom,
    ! [X30,X18,X19,X7,X9,X5] :
      ( lhs_atom32(X30,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_113,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom31(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_114,axiom,
    ! [X22,X23,X1,X7,X9,X5] :
      ( lhs_atom30(X22,X23,X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_115,axiom,
    ! [X30,X18,X19,X7,X9,X5] :
      ( lhs_atom23(X30,X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_116,axiom,
    ! [X22,X23,X1,X7,X9,X5] :
      ( lhs_atom19(X22,X23,X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_117,axiom,
    ! [X24,X25,X18,X19,X7,X5] :
      ( lhs_atom18(X24,X25,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_118,axiom,
    ! [X1,X3,X4,X10,X8,X5] :
      ( lhs_atom14(X1,X3,X4,X10,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_119,axiom,
    ! [X6,X1,X7,X8,X9,X5] :
      ( lhs_atom2(X6,X1,X7,X8,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_120,axiom,
    ! [X12,X26,X18,X19,X5] :
      ( lhs_atom244(X12,X26,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_243) ).

fof(c_0_121,axiom,
    ! [X12,X26,X18,X19,X5] :
      ( lhs_atom242(X12,X26,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_241) ).

fof(c_0_122,axiom,
    ! [X29,X18,X19,X7,X5] :
      ( lhs_atom235(X29,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_234) ).

fof(c_0_123,axiom,
    ! [X29,X18,X19,X7,X5] :
      ( lhs_atom234(X29,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_233) ).

fof(c_0_124,axiom,
    ! [X18,X3,X19,X4,X5] :
      ( lhs_atom227(X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_226) ).

fof(c_0_125,axiom,
    ! [X29,X26,X18,X19,X5] :
      ( lhs_atom220(X29,X26,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_219) ).

fof(c_0_126,axiom,
    ! [X29,X18,X19,X49,X5] :
      ( lhs_atom219(X29,X18,X19,X49,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_218) ).

fof(c_0_127,axiom,
    ! [X29,X18,X19,X49,X5] :
      ( lhs_atom217(X29,X18,X19,X49,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_216) ).

fof(c_0_128,axiom,
    ! [X29,X18,X19,X7,X5] :
      ( lhs_atom211(X29,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_210) ).

fof(c_0_129,axiom,
    ! [X12,X18,X19,X49,X5] :
      ( lhs_atom205(X12,X18,X19,X49,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_204) ).

fof(c_0_130,axiom,
    ! [X18,X3,X19,X4,X5] :
      ( lhs_atom198(X18,X3,X19,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_197) ).

fof(c_0_131,axiom,
    ! [X29,X26,X18,X19,X5] :
      ( lhs_atom193(X29,X26,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_192) ).

fof(c_0_132,axiom,
    ! [X44,X13,X35,X45,X15] :
      ( lhs_atom177(X44,X13,X35,X45,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_176) ).

fof(c_0_133,axiom,
    ! [X13,X20,X14,X10,X15] :
      ( lhs_atom176(X13,X20,X14,X10,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_175) ).

fof(c_0_134,axiom,
    ! [X13,X20,X21,X14,X15] :
      ( lhs_atom174(X13,X20,X21,X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_173) ).

fof(c_0_135,axiom,
    ! [X47,X13,X14,X10,X15] :
      ( lhs_atom170(X47,X13,X14,X10,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_136,axiom,
    ! [X50,X36,X51,X48,X5] :
      ( lhs_atom162(X50,X36,X51,X48,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_137,axiom,
    ! [X29,X18,X19,X7,X5] :
      ( lhs_atom161(X29,X18,X19,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_138,axiom,
    ! [X12,X18,X19,X49,X5] :
      ( lhs_atom156(X12,X18,X19,X49,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_139,axiom,
    ! [X39,X36,X41,X48,X5] :
      ( lhs_atom152(X39,X36,X41,X48,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_140,axiom,
    ! [X39,X36,X41,X34,X5] :
      ( lhs_atom150(X39,X36,X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_141,axiom,
    ! [X47,X13,X14,X10,X15] :
      ( lhs_atom145(X47,X13,X14,X10,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_142,axiom,
    ! [X24,X25,X1,X7,X5] :
      ( lhs_atom139(X24,X25,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_143,axiom,
    ! [X13,X14,X15,X16,X17] :
      ( lhs_atom129(X13,X14,X15,X16,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_144,axiom,
    ! [X22,X23,X29,X1,X5] :
      ( lhs_atom128(X22,X23,X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_145,axiom,
    ! [X6,X29,X1,X8,X5] :
      ( lhs_atom125(X6,X29,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_146,axiom,
    ! [X1,X3,X4,X10,X5] :
      ( lhs_atom124(X1,X3,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_147,axiom,
    ! [X12,X22,X23,X1,X5] :
      ( lhs_atom123(X12,X22,X23,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_148,axiom,
    ! [X22,X23,X29,X1,X5] :
      ( lhs_atom122(X22,X23,X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_149,axiom,
    ! [X22,X23,X29,X1,X5] :
      ( lhs_atom120(X22,X23,X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_150,axiom,
    ! [X24,X25,X1,X7,X5] :
      ( lhs_atom117(X24,X25,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_151,axiom,
    ! [X24,X25,X1,X7,X5] :
      ( lhs_atom116(X24,X25,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_152,axiom,
    ! [X44,X13,X35,X45,X15] :
      ( lhs_atom113(X44,X13,X35,X45,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_153,axiom,
    ! [X30,X1,X7,X9,X5] :
      ( lhs_atom112(X30,X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_154,axiom,
    ! [X18,X19,X7,X9,X5] :
      ( lhs_atom107(X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_155,axiom,
    ! [X12,X22,X23,X1,X5] :
      ( lhs_atom105(X12,X22,X23,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_156,axiom,
    ! [X13,X20,X14,X10,X15] :
      ( lhs_atom104(X13,X20,X14,X10,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_157,axiom,
    ! [X12,X6,X1,X8,X5] :
      ( lhs_atom103(X12,X6,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_158,axiom,
    ! [X6,X29,X1,X8,X5] :
      ( lhs_atom101(X6,X29,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_159,axiom,
    ! [X22,X23,X29,X1,X5] :
      ( lhs_atom83(X22,X23,X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_160,axiom,
    ! [X29,X1,X7,X8,X5] :
      ( lhs_atom80(X29,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_161,axiom,
    ! [X12,X6,X1,X8,X5] :
      ( lhs_atom77(X12,X6,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_162,axiom,
    ! [X12,X22,X23,X1,X5] :
      ( lhs_atom75(X12,X22,X23,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_163,axiom,
    ! [X12,X22,X23,X1,X5] :
      ( lhs_atom74(X12,X22,X23,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_164,axiom,
    ! [X13,X27,X14,X15,X28] :
      ( lhs_atom70(X13,X27,X14,X15,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_165,axiom,
    ! [X1,X3,X4,X10,X5] :
      ( lhs_atom56(X1,X3,X4,X10,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_166,axiom,
    ! [X18,X19,X7,X9,X5] :
      ( lhs_atom41(X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_167,axiom,
    ! [X18,X19,X7,X9,X5] :
      ( lhs_atom40(X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_168,axiom,
    ! [X30,X1,X7,X9,X5] :
      ( lhs_atom37(X30,X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_169,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( lhs_atom35(X1,X2,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_170,axiom,
    ! [X31,X32,X33,X34,X5] :
      ( lhs_atom33(X31,X32,X33,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_171,axiom,
    ! [X29,X1,X7,X8,X5] :
      ( lhs_atom22(X29,X1,X7,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_172,axiom,
    ! [X24,X25,X1,X7,X5] :
      ( lhs_atom21(X24,X25,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_173,axiom,
    ! [X13,X27,X14,X15,X28] :
      ( lhs_atom17(X13,X27,X14,X15,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_174,axiom,
    ! [X13,X20,X21,X14,X15] :
      ( lhs_atom11(X13,X20,X21,X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_175,axiom,
    ! [X18,X19,X7,X9,X5] :
      ( lhs_atom10(X18,X19,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_176,axiom,
    ! [X13,X14,X15,X16,X17] :
      ( lhs_atom9(X13,X14,X15,X16,X17)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_177,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( lhs_atom1(X1,X2,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_178,axiom,
    ! [X12,X18,X19,X5] :
      ( lhs_atom258(X12,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_257) ).

fof(c_0_179,axiom,
    ! [X43,X13,X20,X15] :
      ( lhs_atom249(X43,X13,X20,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_248) ).

fof(c_0_180,axiom,
    ! [X12,X18,X19,X5] :
      ( lhs_atom236(X12,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_235) ).

fof(c_0_181,axiom,
    ! [X11,X29,X1,X5] :
      ( lhs_atom222(X11,X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_221) ).

fof(c_0_182,axiom,
    ! [X43,X13,X20,X15] :
      ( lhs_atom215(X43,X13,X20,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_214) ).

fof(c_0_183,axiom,
    ! [X11,X29,X1,X5] :
      ( lhs_atom203(X11,X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_202) ).

fof(c_0_184,axiom,
    ! [X52,X29,X7,X5] :
      ( lhs_atom189(X52,X29,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_188) ).

fof(c_0_185,axiom,
    ! [X12,X18,X19,X5] :
      ( lhs_atom188(X12,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_187) ).

fof(c_0_186,axiom,
    ! [X29,X18,X19,X5] :
      ( lhs_atom186(X29,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_185) ).

fof(c_0_187,axiom,
    ! [X13,X20,X14,X15] :
      ( lhs_atom173(X13,X20,X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_172) ).

fof(c_0_188,axiom,
    ! [X13,X14,X15,X46] :
      ( lhs_atom172(X13,X14,X15,X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_189,axiom,
    ! [X13,X53,X54,X15] :
      ( lhs_atom171(X13,X53,X54,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_190,axiom,
    ! [X13,X53,X54,X15] :
      ( lhs_atom167(X13,X53,X54,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_191,axiom,
    ! [X29,X18,X19,X5] :
      ( lhs_atom166(X29,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_192,axiom,
    ! [X52,X29,X7,X5] :
      ( lhs_atom164(X52,X29,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_193,axiom,
    ! [X29,X18,X19,X5] :
      ( lhs_atom163(X29,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_194,axiom,
    ! [X29,X18,X19,X5] :
      ( lhs_atom160(X29,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_195,axiom,
    ! [X12,X18,X19,X5] :
      ( lhs_atom155(X12,X18,X19,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_196,axiom,
    ! [X36,X41,X48,X5] :
      ( lhs_atom153(X36,X41,X48,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_197,axiom,
    ! [X36,X41,X34,X5] :
      ( lhs_atom151(X36,X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_198,axiom,
    ! [X36,X41,X34,X5] :
      ( lhs_atom149(X36,X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_199,axiom,
    ! [X13,X14,X15,X46] :
      ( lhs_atom143(X13,X14,X15,X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_200,axiom,
    ! [X29,X1,X8,X5] :
      ( lhs_atom142(X29,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_201,axiom,
    ! [X40,X41,X34,X5] :
      ( lhs_atom141(X40,X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_202,axiom,
    ! [X12,X1,X8,X5] :
      ( lhs_atom115(X12,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_203,axiom,
    ! [X29,X1,X7,X5] :
      ( lhs_atom114(X29,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_204,axiom,
    ! [X13,X20,X14,X15] :
      ( lhs_atom96(X13,X20,X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_205,axiom,
    ! [X1,X3,X4,X5] :
      ( lhs_atom79(X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_206,axiom,
    ! [X1,X7,X9,X5] :
      ( lhs_atom66(X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_207,axiom,
    ! [X13,X14,X35,X15] :
      ( lhs_atom65(X13,X14,X35,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_208,axiom,
    ! [X29,X1,X8,X5] :
      ( lhs_atom59(X29,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_209,axiom,
    ! [X1,X3,X4,X5] :
      ( lhs_atom55(X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_210,axiom,
    ! [X13,X14,X35,X15] :
      ( lhs_atom46(X13,X14,X35,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_211,axiom,
    ! [X29,X1,X7,X5] :
      ( lhs_atom38(X29,X1,X7,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_212,axiom,
    ! [X1,X3,X4,X5] :
      ( lhs_atom36(X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_213,axiom,
    ! [X1,X3,X4,X5] :
      ( lhs_atom28(X1,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_214,axiom,
    ! [X1,X7,X9,X5] :
      ( lhs_atom8(X1,X7,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_215,axiom,
    ! [X12,X1,X8,X5] :
      ( lhs_atom5(X12,X1,X8,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_216,axiom,
    ! [X57,X15,X5] :
      ( lhs_atom267(X57,X15,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_266) ).

fof(c_0_217,axiom,
    ! [X45,X15,X5] :
      ( lhs_atom265(X45,X15,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_264) ).

fof(c_0_218,axiom,
    ! [X41,X34,X5] :
      ( lhs_atom247(X41,X34,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_246) ).

fof(c_0_219,axiom,
    ! [X15,X46,X5] :
      ( lhs_atom239(X15,X46,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_238) ).

fof(c_0_220,axiom,
    ! [X57,X36,X5] :
      ( lhs_atom229(X57,X36,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_228) ).

fof(c_0_221,axiom,
    ! [X36,X56,X5] :
      ( lhs_atom228(X36,X56,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_227) ).

fof(c_0_222,axiom,
    ! [X52,X29,X5] :
      ( lhs_atom194(X52,X29,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_193) ).

fof(c_0_223,axiom,
    ! [X52,X29,X5] :
      ( lhs_atom190(X52,X29,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_189) ).

fof(c_0_224,axiom,
    ! [X43,X13,X15] :
      ( lhs_atom183(X43,X13,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_182) ).

fof(c_0_225,axiom,
    ! [X13,X14,X15] :
      ( lhs_atom178(X13,X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_177) ).

fof(c_0_226,axiom,
    ! [X13,X15,X46] :
      ( lhs_atom168(X13,X15,X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_227,axiom,
    ! [X13,X15,X46] :
      ( lhs_atom147(X13,X15,X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_228,axiom,
    ! [X12,X1,X5] :
      ( lhs_atom135(X12,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_229,axiom,
    ! [X29,X1,X5] :
      ( lhs_atom108(X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_230,axiom,
    ! [X42,X15,X5] :
      ( lhs_atom89(X42,X15,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_231,axiom,
    ! [X29,X1,X5] :
      ( lhs_atom73(X29,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_232,axiom,
    ! [X12,X1,X5] :
      ( lhs_atom71(X12,X1,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_233,axiom,
    ! [X38,X9,X5] :
      ( lhs_atom58(X38,X9,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_234,axiom,
    ! [X36,X37,X5] :
      ( lhs_atom57(X36,X37,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_235,axiom,
    ! [X13,X14,X15] :
      ( lhs_atom7(X13,X14,X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_236,axiom,
    ! [X36,X5] :
      ( lhs_atom270(X36,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_269) ).

fof(c_0_237,axiom,
    ! [X36,X5] :
      ( lhs_atom257(X36,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_256) ).

fof(c_0_238,axiom,
    ! [X15,X5] :
      ( lhs_atom243(X15,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_242) ).

fof(c_0_239,axiom,
    ! [X38,X5] :
      ( lhs_atom93(X38,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_240,axiom,
    ! [X11] :
      ( lhs_atom253(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_252) ).

fof(c_0_241,axiom,
    ! [X11] :
      ( lhs_atom245(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_244) ).

fof(c_0_242,axiom,
    ! [X42] :
      ( lhs_atom238(X42)
      | ~ $true ),
    file('<stdin>',to_be_clausified_237) ).

fof(c_0_243,axiom,
    ! [X11] :
      ( lhs_atom216(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_215) ).

fof(c_0_244,axiom,
    ! [X11] :
      ( lhs_atom157(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_245,axiom,
    ! [X36] :
      ( lhs_atom136(X36)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_246,axiom,
    ! [X42] :
      ( lhs_atom99(X42)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_247,axiom,
    ! [X11] :
      ( lhs_atom82(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_248,axiom,
    ! [X42] :
      ( lhs_atom78(X42)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_249,axiom,
    ! [X11] :
      ( lhs_atom4(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_250,axiom,
    ( lhs_atom269
    | ~ $true ),
    file('<stdin>',to_be_clausified_268) ).

fof(c_0_251,axiom,
    ( lhs_atom268
    | ~ $true ),
    file('<stdin>',to_be_clausified_267) ).

fof(c_0_252,axiom,
    ( lhs_atom266
    | ~ $true ),
    file('<stdin>',to_be_clausified_265) ).

fof(c_0_253,axiom,
    ( lhs_atom264
    | ~ $true ),
    file('<stdin>',to_be_clausified_263) ).

fof(c_0_254,axiom,
    ( lhs_atom263
    | ~ $true ),
    file('<stdin>',to_be_clausified_262) ).

fof(c_0_255,axiom,
    ( lhs_atom262
    | ~ $true ),
    file('<stdin>',to_be_clausified_261) ).

fof(c_0_256,axiom,
    ( lhs_atom261
    | ~ $true ),
    file('<stdin>',to_be_clausified_260) ).

fof(c_0_257,axiom,
    ( lhs_atom255
    | ~ $true ),
    file('<stdin>',to_be_clausified_254) ).

fof(c_0_258,axiom,
    ( lhs_atom254
    | ~ $true ),
    file('<stdin>',to_be_clausified_253) ).

fof(c_0_259,axiom,
    ( lhs_atom250
    | ~ $true ),
    file('<stdin>',to_be_clausified_249) ).

fof(c_0_260,axiom,
    ( lhs_atom237
    | ~ $true ),
    file('<stdin>',to_be_clausified_236) ).

fof(c_0_261,axiom,
    ( lhs_atom225
    | ~ $true ),
    file('<stdin>',to_be_clausified_224) ).

fof(c_0_262,axiom,
    ( lhs_atom214
    | ~ $true ),
    file('<stdin>',to_be_clausified_213) ).

fof(c_0_263,axiom,
    ( lhs_atom131
    | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_264,axiom,
    ( lhs_atom130
    | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_265,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_266,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_267,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_268,axiom,
    ( lhs_atom45
    | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_269,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_270,plain,
    ! [X11,X24,X25,X18,X3,X19,X4,X8,X5] : lhs_atom204(X11,X24,X25,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_271,plain,
    ! [X11,X24,X25,X18,X3,X19,X4,X8,X5] : lhs_atom199(X11,X24,X25,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_272,plain,
    ! [X11,X2,X18,X3,X19,X4,X8,X5] : lhs_atom252(X11,X2,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_273,plain,
    ! [X11,X2,X18,X3,X19,X4,X8,X5] : lhs_atom241(X11,X2,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_274,plain,
    ! [X22,X23,X18,X3,X19,X4,X10,X5] : lhs_atom232(X22,X23,X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_275,plain,
    ! [X11,X18,X3,X19,X4,X10,X8,X5] : lhs_atom226(X11,X18,X3,X19,X4,X10,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_276,plain,
    ! [X24,X25,X26,X18,X3,X19,X4,X5] : lhs_atom224(X24,X25,X26,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_277,plain,
    ! [X24,X25,X26,X18,X3,X19,X4,X5] : lhs_atom206(X24,X25,X26,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_278,plain,
    ! [X22,X23,X18,X3,X19,X4,X10,X5] : lhs_atom196(X22,X23,X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_279,plain,
    ! [X11,X18,X3,X19,X4,X10,X8,X5] : lhs_atom185(X11,X18,X3,X19,X4,X10,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_280,plain,
    ! [X22,X24,X23,X25,X1,X3,X4,X5] : lhs_atom126(X22,X24,X23,X25,X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_281,plain,
    ! [X6,X24,X25,X1,X3,X4,X8,X5] : lhs_atom119(X6,X24,X25,X1,X3,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_282,plain,
    ! [X6,X24,X25,X1,X3,X4,X8,X5] : lhs_atom100(X6,X24,X25,X1,X3,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_283,plain,
    ! [X30,X11,X18,X19,X7,X8,X9,X5] : lhs_atom81(X30,X11,X18,X19,X7,X8,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_284,plain,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] : lhs_atom76(X11,X24,X25,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_285,plain,
    ! [X22,X24,X23,X25,X18,X19,X7,X5] : lhs_atom69(X22,X24,X23,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_286,plain,
    ! [X30,X11,X18,X19,X7,X8,X9,X5] : lhs_atom53(X30,X11,X18,X19,X7,X8,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_287,plain,
    ! [X22,X24,X23,X25,X1,X3,X4,X5] : lhs_atom51(X22,X24,X23,X25,X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_288,plain,
    ! [X22,X24,X23,X25,X18,X19,X7,X5] : lhs_atom50(X22,X24,X23,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_289,plain,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] : lhs_atom34(X11,X24,X25,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_290,plain,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] : lhs_atom26(X11,X24,X25,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_291,plain,
    ! [X11,X24,X25,X18,X19,X7,X8,X5] : lhs_atom24(X11,X24,X25,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_292,plain,
    ! [X11,X18,X3,X19,X4,X8,X5] : lhs_atom260(X11,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_293,plain,
    ! [X11,X18,X3,X19,X4,X8,X5] : lhs_atom259(X11,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_294,plain,
    ! [X24,X25,X18,X3,X19,X4,X5] : lhs_atom233(X24,X25,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_295,plain,
    ! [X24,X25,X18,X3,X19,X4,X5] : lhs_atom230(X24,X25,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_296,plain,
    ! [X22,X23,X29,X18,X19,X7,X5] : lhs_atom209(X22,X23,X29,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_297,plain,
    ! [X11,X29,X18,X19,X7,X8,X5] : lhs_atom208(X11,X29,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_298,plain,
    ! [X11,X18,X3,X19,X4,X8,X5] : lhs_atom202(X11,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_299,plain,
    ! [X26,X18,X3,X19,X4,X10,X5] : lhs_atom200(X26,X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_300,plain,
    ! [X24,X25,X18,X3,X19,X4,X5] : lhs_atom187(X24,X25,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_301,plain,
    ! [X11,X29,X18,X19,X7,X8,X5] : lhs_atom182(X11,X29,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_302,plain,
    ! [X26,X18,X3,X19,X4,X10,X5] : lhs_atom159(X26,X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_303,plain,
    ! [X24,X25,X18,X3,X19,X4,X5] : lhs_atom158(X24,X25,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_304,plain,
    ! [X11,X18,X3,X19,X4,X8,X5] : lhs_atom154(X11,X18,X3,X19,X4,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_305,plain,
    ! [X22,X23,X29,X18,X19,X7,X5] : lhs_atom148(X22,X23,X29,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_306,plain,
    ! [X22,X24,X23,X25,X1,X7,X5] : lhs_atom138(X22,X24,X23,X25,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_307,plain,
    ! [X11,X18,X19,X7,X8,X9,X5] : lhs_atom137(X11,X18,X19,X7,X8,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_308,plain,
    ! [X6,X24,X25,X1,X7,X8,X5] : lhs_atom133(X6,X24,X25,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_309,plain,
    ! [X24,X25,X26,X18,X19,X7,X5] : lhs_atom118(X24,X25,X26,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_310,plain,
    ! [X6,X24,X25,X1,X7,X8,X5] : lhs_atom111(X6,X24,X25,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_311,plain,
    ! [X6,X24,X25,X1,X7,X8,X5] : lhs_atom110(X6,X24,X25,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_312,plain,
    ! [X22,X23,X1,X3,X4,X10,X5] : lhs_atom95(X22,X23,X1,X3,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_313,plain,
    ! [X22,X23,X1,X3,X4,X10,X5] : lhs_atom88(X22,X23,X1,X3,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_314,plain,
    ! [X11,X18,X19,X7,X8,X9,X5] : lhs_atom85(X11,X18,X19,X7,X8,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_315,plain,
    ! [X6,X1,X3,X4,X10,X8,X5] : lhs_atom67(X6,X1,X3,X4,X10,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_316,plain,
    ! [X22,X24,X23,X25,X1,X7,X5] : lhs_atom60(X22,X24,X23,X25,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_317,plain,
    ! [X30,X26,X18,X19,X7,X9,X5] : lhs_atom43(X30,X26,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_318,plain,
    ! [X30,X26,X18,X19,X7,X9,X5] : lhs_atom39(X30,X26,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_319,plain,
    ! [X22,X23,X18,X19,X7,X9,X5] : lhs_atom29(X22,X23,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_320,plain,
    ! [X24,X25,X26,X18,X19,X7,X5] : lhs_atom27(X24,X25,X26,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_321,plain,
    ! [X24,X25,X26,X18,X19,X7,X5] : lhs_atom25(X24,X25,X26,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_322,plain,
    ! [X22,X23,X18,X19,X7,X9,X5] : lhs_atom20(X22,X23,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_323,plain,
    ! [X6,X24,X25,X1,X7,X8,X5] : lhs_atom16(X6,X24,X25,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_324,plain,
    ! [X24,X25,X26,X18,X19,X7,X5] : lhs_atom15(X24,X25,X26,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_325,plain,
    ! [X22,X23,X1,X3,X4,X10,X5] : lhs_atom13(X22,X23,X1,X3,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_326,plain,
    ! [X22,X23,X1,X3,X4,X10,X5] : lhs_atom12(X22,X23,X1,X3,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_327,plain,
    ! [X6,X1,X3,X4,X10,X8,X5] : lhs_atom3(X6,X1,X3,X4,X10,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_328,plain,
    ! [X12,X11,X18,X19,X8,X5] : lhs_atom256(X12,X11,X18,X19,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_329,plain,
    ! [X12,X11,X18,X19,X8,X5] : lhs_atom251(X12,X11,X18,X19,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_330,plain,
    ! [X26,X18,X3,X19,X4,X5] : lhs_atom248(X26,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_331,plain,
    ! [X26,X18,X3,X19,X4,X5] : lhs_atom246(X26,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_332,plain,
    ! [X43,X13,X20,X35,X15,X46] : lhs_atom240(X43,X13,X20,X35,X15,X46),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_333,plain,
    ! [X43,X13,X20,X35,X15,X46] : lhs_atom231(X43,X13,X20,X35,X15,X46),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_334,plain,
    ! [X11,X29,X18,X19,X8,X5] : lhs_atom223(X11,X29,X18,X19,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_335,plain,
    ! [X22,X23,X29,X18,X19,X5] : lhs_atom221(X22,X23,X29,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_336,plain,
    ! [X22,X23,X29,X18,X19,X5] : lhs_atom218(X22,X23,X29,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_337,plain,
    ! [X2,X18,X3,X19,X4,X5] : lhs_atom213(X2,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_338,plain,
    ! [X12,X22,X23,X18,X19,X5] : lhs_atom212(X12,X22,X23,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_339,plain,
    ! [X29,X26,X18,X19,X7,X5] : lhs_atom210(X29,X26,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_340,plain,
    ! [X2,X18,X3,X19,X4,X5] : lhs_atom207(X2,X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_341,plain,
    ! [X29,X18,X19,X7,X49,X5] : lhs_atom201(X29,X18,X19,X7,X49,X5),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_342,plain,
    ! [X18,X3,X19,X4,X10,X5] : lhs_atom197(X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_343,plain,
    ! [X18,X3,X19,X4,X10,X5] : lhs_atom195(X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_344,plain,
    ! [X11,X29,X18,X19,X8,X5] : lhs_atom192(X11,X29,X18,X19,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_345,plain,
    ! [X29,X18,X19,X7,X49,X5] : lhs_atom191(X29,X18,X19,X7,X49,X5),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_346,plain,
    ! [X55,X39,X36,X41,X34,X5] : lhs_atom184(X55,X39,X36,X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_347,plain,
    ! [X18,X3,X19,X4,X10,X5] : lhs_atom181(X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_348,plain,
    ! [X18,X3,X19,X4,X10,X5] : lhs_atom180(X18,X3,X19,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_349,plain,
    ! [X29,X26,X18,X19,X7,X5] : lhs_atom179(X29,X26,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_350,plain,
    ! [X13,X20,X14,X15,X16,X17] : lhs_atom175(X13,X20,X14,X15,X16,X17),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_351,plain,
    ! [X43,X13,X14,X15,X16,X17] : lhs_atom169(X43,X13,X14,X15,X16,X17),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_352,plain,
    ! [X12,X22,X23,X18,X19,X5] : lhs_atom165(X12,X22,X23,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_353,plain,
    ! [X43,X13,X14,X15,X16,X17] : lhs_atom146(X43,X13,X14,X15,X16,X17),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_354,plain,
    ! [X43,X44,X13,X35,X45,X15] : lhs_atom144(X43,X44,X13,X35,X45,X15),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_355,plain,
    ! [X13,X20,X14,X15,X16,X17] : lhs_atom140(X13,X20,X14,X15,X16,X17),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_356,plain,
    ! [X22,X23,X29,X1,X7,X5] : lhs_atom134(X22,X23,X29,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_357,plain,
    ! [X1,X3,X4,X10,X8,X5] : lhs_atom132(X1,X3,X4,X10,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_358,plain,
    ! [X24,X25,X1,X3,X4,X5] : lhs_atom127(X24,X25,X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_359,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom121(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_360,plain,
    ! [X24,X25,X1,X3,X4,X5] : lhs_atom109(X24,X25,X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_361,plain,
    ! [X6,X29,X1,X7,X8,X5] : lhs_atom106(X6,X29,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_362,plain,
    ! [X11,X18,X19,X7,X8,X5] : lhs_atom102(X11,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_363,plain,
    ! [X22,X23,X29,X1,X7,X5] : lhs_atom98(X22,X23,X29,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_364,plain,
    ! [X22,X23,X29,X1,X7,X5] : lhs_atom97(X22,X23,X29,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_365,plain,
    ! [X22,X23,X1,X7,X9,X5] : lhs_atom94(X22,X23,X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_366,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom92(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_367,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom91(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_368,plain,
    ! [X43,X44,X13,X35,X45,X15] : lhs_atom90(X43,X44,X13,X35,X45,X15),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_369,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom87(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_370,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom86(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_371,plain,
    ! [X26,X18,X19,X7,X9,X5] : lhs_atom84(X26,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_372,plain,
    ! [X6,X1,X7,X8,X9,X5] : lhs_atom72(X6,X1,X7,X8,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_373,plain,
    ! [X39,X36,X40,X41,X34,X5] : lhs_atom68(X39,X36,X40,X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_374,plain,
    ! [X30,X18,X19,X7,X9,X5] : lhs_atom64(X30,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_375,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom63(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_376,plain,
    ! [X22,X23,X29,X1,X7,X5] : lhs_atom62(X22,X23,X29,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_377,plain,
    ! [X26,X18,X19,X7,X9,X5] : lhs_atom52(X26,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_378,plain,
    ! [X11,X18,X19,X7,X8,X5] : lhs_atom49(X11,X18,X19,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_379,plain,
    ! [X22,X23,X1,X7,X9,X5] : lhs_atom47(X22,X23,X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_380,plain,
    ! [X6,X29,X1,X7,X8,X5] : lhs_atom44(X6,X29,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_381,plain,
    ! [X30,X18,X19,X7,X9,X5] : lhs_atom42(X30,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_382,plain,
    ! [X30,X18,X19,X7,X9,X5] : lhs_atom32(X30,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_383,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom31(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_384,plain,
    ! [X22,X23,X1,X7,X9,X5] : lhs_atom30(X22,X23,X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_385,plain,
    ! [X30,X18,X19,X7,X9,X5] : lhs_atom23(X30,X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_386,plain,
    ! [X22,X23,X1,X7,X9,X5] : lhs_atom19(X22,X23,X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_387,plain,
    ! [X24,X25,X18,X19,X7,X5] : lhs_atom18(X24,X25,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_388,plain,
    ! [X1,X3,X4,X10,X8,X5] : lhs_atom14(X1,X3,X4,X10,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_389,plain,
    ! [X6,X1,X7,X8,X9,X5] : lhs_atom2(X6,X1,X7,X8,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_390,plain,
    ! [X12,X26,X18,X19,X5] : lhs_atom244(X12,X26,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_391,plain,
    ! [X12,X26,X18,X19,X5] : lhs_atom242(X12,X26,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_392,plain,
    ! [X29,X18,X19,X7,X5] : lhs_atom235(X29,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_393,plain,
    ! [X29,X18,X19,X7,X5] : lhs_atom234(X29,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_394,plain,
    ! [X18,X3,X19,X4,X5] : lhs_atom227(X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_395,plain,
    ! [X29,X26,X18,X19,X5] : lhs_atom220(X29,X26,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_396,plain,
    ! [X29,X18,X19,X49,X5] : lhs_atom219(X29,X18,X19,X49,X5),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_397,plain,
    ! [X29,X18,X19,X49,X5] : lhs_atom217(X29,X18,X19,X49,X5),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_398,plain,
    ! [X29,X18,X19,X7,X5] : lhs_atom211(X29,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_399,plain,
    ! [X12,X18,X19,X49,X5] : lhs_atom205(X12,X18,X19,X49,X5),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_400,plain,
    ! [X18,X3,X19,X4,X5] : lhs_atom198(X18,X3,X19,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_401,plain,
    ! [X29,X26,X18,X19,X5] : lhs_atom193(X29,X26,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_402,plain,
    ! [X44,X13,X35,X45,X15] : lhs_atom177(X44,X13,X35,X45,X15),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_403,plain,
    ! [X13,X20,X14,X10,X15] : lhs_atom176(X13,X20,X14,X10,X15),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_404,plain,
    ! [X13,X20,X21,X14,X15] : lhs_atom174(X13,X20,X21,X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_405,plain,
    ! [X47,X13,X14,X10,X15] : lhs_atom170(X47,X13,X14,X10,X15),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_406,plain,
    ! [X50,X36,X51,X48,X5] : lhs_atom162(X50,X36,X51,X48,X5),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_407,plain,
    ! [X29,X18,X19,X7,X5] : lhs_atom161(X29,X18,X19,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_408,plain,
    ! [X12,X18,X19,X49,X5] : lhs_atom156(X12,X18,X19,X49,X5),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_409,plain,
    ! [X39,X36,X41,X48,X5] : lhs_atom152(X39,X36,X41,X48,X5),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_410,plain,
    ! [X39,X36,X41,X34,X5] : lhs_atom150(X39,X36,X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_411,plain,
    ! [X47,X13,X14,X10,X15] : lhs_atom145(X47,X13,X14,X10,X15),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_412,plain,
    ! [X24,X25,X1,X7,X5] : lhs_atom139(X24,X25,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_413,plain,
    ! [X13,X14,X15,X16,X17] : lhs_atom129(X13,X14,X15,X16,X17),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_414,plain,
    ! [X22,X23,X29,X1,X5] : lhs_atom128(X22,X23,X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_415,plain,
    ! [X6,X29,X1,X8,X5] : lhs_atom125(X6,X29,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_416,plain,
    ! [X1,X3,X4,X10,X5] : lhs_atom124(X1,X3,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_417,plain,
    ! [X12,X22,X23,X1,X5] : lhs_atom123(X12,X22,X23,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_418,plain,
    ! [X22,X23,X29,X1,X5] : lhs_atom122(X22,X23,X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_419,plain,
    ! [X22,X23,X29,X1,X5] : lhs_atom120(X22,X23,X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_420,plain,
    ! [X24,X25,X1,X7,X5] : lhs_atom117(X24,X25,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_421,plain,
    ! [X24,X25,X1,X7,X5] : lhs_atom116(X24,X25,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_422,plain,
    ! [X44,X13,X35,X45,X15] : lhs_atom113(X44,X13,X35,X45,X15),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_423,plain,
    ! [X30,X1,X7,X9,X5] : lhs_atom112(X30,X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_424,plain,
    ! [X18,X19,X7,X9,X5] : lhs_atom107(X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_425,plain,
    ! [X12,X22,X23,X1,X5] : lhs_atom105(X12,X22,X23,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_426,plain,
    ! [X13,X20,X14,X10,X15] : lhs_atom104(X13,X20,X14,X10,X15),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_427,plain,
    ! [X12,X6,X1,X8,X5] : lhs_atom103(X12,X6,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_428,plain,
    ! [X6,X29,X1,X8,X5] : lhs_atom101(X6,X29,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_429,plain,
    ! [X22,X23,X29,X1,X5] : lhs_atom83(X22,X23,X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_430,plain,
    ! [X29,X1,X7,X8,X5] : lhs_atom80(X29,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_431,plain,
    ! [X12,X6,X1,X8,X5] : lhs_atom77(X12,X6,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_432,plain,
    ! [X12,X22,X23,X1,X5] : lhs_atom75(X12,X22,X23,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_433,plain,
    ! [X12,X22,X23,X1,X5] : lhs_atom74(X12,X22,X23,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_434,plain,
    ! [X13,X27,X14,X15,X28] : lhs_atom70(X13,X27,X14,X15,X28),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_435,plain,
    ! [X1,X3,X4,X10,X5] : lhs_atom56(X1,X3,X4,X10,X5),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_436,plain,
    ! [X18,X19,X7,X9,X5] : lhs_atom41(X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_437,plain,
    ! [X18,X19,X7,X9,X5] : lhs_atom40(X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_438,plain,
    ! [X30,X1,X7,X9,X5] : lhs_atom37(X30,X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_439,plain,
    ! [X1,X2,X3,X4,X5] : lhs_atom35(X1,X2,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_440,plain,
    ! [X31,X32,X33,X34,X5] : lhs_atom33(X31,X32,X33,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_441,plain,
    ! [X29,X1,X7,X8,X5] : lhs_atom22(X29,X1,X7,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_442,plain,
    ! [X24,X25,X1,X7,X5] : lhs_atom21(X24,X25,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_443,plain,
    ! [X13,X27,X14,X15,X28] : lhs_atom17(X13,X27,X14,X15,X28),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_444,plain,
    ! [X13,X20,X21,X14,X15] : lhs_atom11(X13,X20,X21,X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_445,plain,
    ! [X18,X19,X7,X9,X5] : lhs_atom10(X18,X19,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_446,plain,
    ! [X13,X14,X15,X16,X17] : lhs_atom9(X13,X14,X15,X16,X17),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_447,plain,
    ! [X1,X2,X3,X4,X5] : lhs_atom1(X1,X2,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_448,plain,
    ! [X12,X18,X19,X5] : lhs_atom258(X12,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_449,plain,
    ! [X43,X13,X20,X15] : lhs_atom249(X43,X13,X20,X15),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_450,plain,
    ! [X12,X18,X19,X5] : lhs_atom236(X12,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_451,plain,
    ! [X11,X29,X1,X5] : lhs_atom222(X11,X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_452,plain,
    ! [X43,X13,X20,X15] : lhs_atom215(X43,X13,X20,X15),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_453,plain,
    ! [X11,X29,X1,X5] : lhs_atom203(X11,X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_454,plain,
    ! [X52,X29,X7,X5] : lhs_atom189(X52,X29,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_455,plain,
    ! [X12,X18,X19,X5] : lhs_atom188(X12,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_456,plain,
    ! [X29,X18,X19,X5] : lhs_atom186(X29,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_457,plain,
    ! [X13,X20,X14,X15] : lhs_atom173(X13,X20,X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_458,plain,
    ! [X13,X14,X15,X46] : lhs_atom172(X13,X14,X15,X46),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_459,plain,
    ! [X13,X53,X54,X15] : lhs_atom171(X13,X53,X54,X15),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_460,plain,
    ! [X13,X53,X54,X15] : lhs_atom167(X13,X53,X54,X15),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_461,plain,
    ! [X29,X18,X19,X5] : lhs_atom166(X29,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_462,plain,
    ! [X52,X29,X7,X5] : lhs_atom164(X52,X29,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_463,plain,
    ! [X29,X18,X19,X5] : lhs_atom163(X29,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_464,plain,
    ! [X29,X18,X19,X5] : lhs_atom160(X29,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_465,plain,
    ! [X12,X18,X19,X5] : lhs_atom155(X12,X18,X19,X5),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_466,plain,
    ! [X36,X41,X48,X5] : lhs_atom153(X36,X41,X48,X5),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_467,plain,
    ! [X36,X41,X34,X5] : lhs_atom151(X36,X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_468,plain,
    ! [X36,X41,X34,X5] : lhs_atom149(X36,X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_469,plain,
    ! [X13,X14,X15,X46] : lhs_atom143(X13,X14,X15,X46),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_470,plain,
    ! [X29,X1,X8,X5] : lhs_atom142(X29,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_471,plain,
    ! [X40,X41,X34,X5] : lhs_atom141(X40,X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_472,plain,
    ! [X12,X1,X8,X5] : lhs_atom115(X12,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_473,plain,
    ! [X29,X1,X7,X5] : lhs_atom114(X29,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_474,plain,
    ! [X13,X20,X14,X15] : lhs_atom96(X13,X20,X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_475,plain,
    ! [X1,X3,X4,X5] : lhs_atom79(X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_476,plain,
    ! [X1,X7,X9,X5] : lhs_atom66(X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_477,plain,
    ! [X13,X14,X35,X15] : lhs_atom65(X13,X14,X35,X15),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_478,plain,
    ! [X29,X1,X8,X5] : lhs_atom59(X29,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_479,plain,
    ! [X1,X3,X4,X5] : lhs_atom55(X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_480,plain,
    ! [X13,X14,X35,X15] : lhs_atom46(X13,X14,X35,X15),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_481,plain,
    ! [X29,X1,X7,X5] : lhs_atom38(X29,X1,X7,X5),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_482,plain,
    ! [X1,X3,X4,X5] : lhs_atom36(X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_483,plain,
    ! [X1,X3,X4,X5] : lhs_atom28(X1,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_484,plain,
    ! [X1,X7,X9,X5] : lhs_atom8(X1,X7,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_485,plain,
    ! [X12,X1,X8,X5] : lhs_atom5(X12,X1,X8,X5),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_486,plain,
    ! [X57,X15,X5] : lhs_atom267(X57,X15,X5),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_487,plain,
    ! [X45,X15,X5] : lhs_atom265(X45,X15,X5),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_488,plain,
    ! [X41,X34,X5] : lhs_atom247(X41,X34,X5),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_489,plain,
    ! [X15,X46,X5] : lhs_atom239(X15,X46,X5),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_490,plain,
    ! [X57,X36,X5] : lhs_atom229(X57,X36,X5),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_491,plain,
    ! [X36,X56,X5] : lhs_atom228(X36,X56,X5),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_492,plain,
    ! [X52,X29,X5] : lhs_atom194(X52,X29,X5),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_493,plain,
    ! [X52,X29,X5] : lhs_atom190(X52,X29,X5),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_494,plain,
    ! [X43,X13,X15] : lhs_atom183(X43,X13,X15),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_495,plain,
    ! [X13,X14,X15] : lhs_atom178(X13,X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_496,plain,
    ! [X13,X15,X46] : lhs_atom168(X13,X15,X46),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_497,plain,
    ! [X13,X15,X46] : lhs_atom147(X13,X15,X46),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_498,plain,
    ! [X12,X1,X5] : lhs_atom135(X12,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_499,plain,
    ! [X29,X1,X5] : lhs_atom108(X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_500,plain,
    ! [X42,X15,X5] : lhs_atom89(X42,X15,X5),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_501,plain,
    ! [X29,X1,X5] : lhs_atom73(X29,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_502,plain,
    ! [X12,X1,X5] : lhs_atom71(X12,X1,X5),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_503,plain,
    ! [X38,X9,X5] : lhs_atom58(X38,X9,X5),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_504,plain,
    ! [X36,X37,X5] : lhs_atom57(X36,X37,X5),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_505,plain,
    ! [X13,X14,X15] : lhs_atom7(X13,X14,X15),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_506,plain,
    ! [X36,X5] : lhs_atom270(X36,X5),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_507,plain,
    ! [X36,X5] : lhs_atom257(X36,X5),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_508,plain,
    ! [X15,X5] : lhs_atom243(X15,X5),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_509,plain,
    ! [X38,X5] : lhs_atom93(X38,X5),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_510,plain,
    ! [X11] : lhs_atom253(X11),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_511,plain,
    ! [X11] : lhs_atom245(X11),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_512,plain,
    ! [X42] : lhs_atom238(X42),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_513,plain,
    ! [X11] : lhs_atom216(X11),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_514,plain,
    ! [X11] : lhs_atom157(X11),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_515,plain,
    ! [X36] : lhs_atom136(X36),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_516,plain,
    ! [X42] : lhs_atom99(X42),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_517,plain,
    ! [X11] : lhs_atom82(X11),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_518,plain,
    ! [X42] : lhs_atom78(X42),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_519,plain,
    ! [X11] : lhs_atom4(X11),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_520,plain,
    lhs_atom269,
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_521,plain,
    lhs_atom268,
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_522,plain,
    lhs_atom266,
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_523,plain,
    lhs_atom264,
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_524,plain,
    lhs_atom263,
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_525,plain,
    lhs_atom262,
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_526,plain,
    lhs_atom261,
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_527,plain,
    lhs_atom255,
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_528,plain,
    lhs_atom254,
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_529,plain,
    lhs_atom250,
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_530,plain,
    lhs_atom237,
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_531,plain,
    lhs_atom225,
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_532,plain,
    lhs_atom214,
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_533,plain,
    lhs_atom131,
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_534,plain,
    lhs_atom130,
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_535,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_536,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_537,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_538,plain,
    lhs_atom45,
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_539,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_540,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33,X34] : lhs_atom204(X26,X27,X28,X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_541,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33,X34] : lhs_atom199(X26,X27,X28,X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_542,plain,
    ! [X20,X21,X22,X23,X24,X25,X26,X27] : lhs_atom252(X20,X21,X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_543,plain,
    ! [X20,X21,X22,X23,X24,X25,X26,X27] : lhs_atom241(X20,X21,X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_544,plain,
    ! [X24,X25,X26,X27,X28,X29,X30,X31] : lhs_atom232(X24,X25,X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_545,plain,
    ! [X20,X21,X22,X23,X24,X25,X26,X27] : lhs_atom226(X20,X21,X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_546,plain,
    ! [X27,X28,X29,X30,X31,X32,X33,X34] : lhs_atom224(X27,X28,X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_547,plain,
    ! [X27,X28,X29,X30,X31,X32,X33,X34] : lhs_atom206(X27,X28,X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_548,plain,
    ! [X24,X25,X26,X27,X28,X29,X30,X31] : lhs_atom196(X24,X25,X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_549,plain,
    ! [X20,X21,X22,X23,X24,X25,X26,X27] : lhs_atom185(X20,X21,X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_550,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom126(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_551,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom119(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_552,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom100(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_553,plain,
    ! [X31,X32,X33,X34,X35,X36,X37,X38] : lhs_atom81(X31,X32,X33,X34,X35,X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_554,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom76(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_555,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom69(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_556,plain,
    ! [X31,X32,X33,X34,X35,X36,X37,X38] : lhs_atom53(X31,X32,X33,X34,X35,X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_557,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom51(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_558,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom50(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_559,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom34(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_560,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom26(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_561,plain,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom24(X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_562,plain,
    ! [X20,X21,X22,X23,X24,X25,X26] : lhs_atom260(X20,X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_563,plain,
    ! [X20,X21,X22,X23,X24,X25,X26] : lhs_atom259(X20,X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_564,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom233(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_565,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom230(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_566,plain,
    ! [X30,X31,X32,X33,X34,X35,X36] : lhs_atom209(X30,X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_567,plain,
    ! [X30,X31,X32,X33,X34,X35,X36] : lhs_atom208(X30,X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_568,plain,
    ! [X20,X21,X22,X23,X24,X25,X26] : lhs_atom202(X20,X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_569,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] : lhs_atom200(X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_570,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom187(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_571,plain,
    ! [X30,X31,X32,X33,X34,X35,X36] : lhs_atom182(X30,X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_572,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] : lhs_atom159(X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_573,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom158(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_574,plain,
    ! [X20,X21,X22,X23,X24,X25,X26] : lhs_atom154(X20,X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_575,plain,
    ! [X30,X31,X32,X33,X34,X35,X36] : lhs_atom148(X30,X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_576,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom138(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_577,plain,
    ! [X20,X21,X22,X23,X24,X25,X26] : lhs_atom137(X20,X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_578,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom133(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_579,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] : lhs_atom118(X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_580,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom111(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_310]) ).

fof(c_0_581,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom110(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_311]) ).

fof(c_0_582,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] : lhs_atom95(X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_583,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] : lhs_atom88(X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_584,plain,
    ! [X20,X21,X22,X23,X24,X25,X26] : lhs_atom85(X20,X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_585,plain,
    ! [X11,X12,X13,X14,X15,X16,X17] : lhs_atom67(X11,X12,X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_586,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom60(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_316]) ).

fof(c_0_587,plain,
    ! [X31,X32,X33,X34,X35,X36,X37] : lhs_atom43(X31,X32,X33,X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_588,plain,
    ! [X31,X32,X33,X34,X35,X36,X37] : lhs_atom39(X31,X32,X33,X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_589,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] : lhs_atom29(X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_590,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] : lhs_atom27(X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_591,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] : lhs_atom25(X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_592,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] : lhs_atom20(X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_593,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom16(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_594,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] : lhs_atom15(X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_324]) ).

fof(c_0_595,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] : lhs_atom13(X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_325]) ).

fof(c_0_596,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] : lhs_atom12(X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_326]) ).

fof(c_0_597,plain,
    ! [X11,X12,X13,X14,X15,X16,X17] : lhs_atom3(X11,X12,X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_598,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom256(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_599,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom251(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_600,plain,
    ! [X27,X28,X29,X30,X31,X32] : lhs_atom248(X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_330]) ).

fof(c_0_601,plain,
    ! [X27,X28,X29,X30,X31,X32] : lhs_atom246(X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_602,plain,
    ! [X47,X48,X49,X50,X51,X52] : lhs_atom240(X47,X48,X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_332]) ).

fof(c_0_603,plain,
    ! [X47,X48,X49,X50,X51,X52] : lhs_atom231(X47,X48,X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_333]) ).

fof(c_0_604,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom223(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_605,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom221(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_606,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom218(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_607,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom213(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_608,plain,
    ! [X24,X25,X26,X27,X28,X29] : lhs_atom212(X24,X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_609,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom210(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_610,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom207(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_611,plain,
    ! [X50,X51,X52,X53,X54,X55] : lhs_atom201(X50,X51,X52,X53,X54,X55),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_612,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom197(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_613,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom195(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_343]) ).

fof(c_0_614,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom192(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_615,plain,
    ! [X50,X51,X52,X53,X54,X55] : lhs_atom191(X50,X51,X52,X53,X54,X55),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_616,plain,
    ! [X56,X57,X58,X59,X60,X61] : lhs_atom184(X56,X57,X58,X59,X60,X61),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_617,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom181(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_618,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom180(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_348]) ).

fof(c_0_619,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom179(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_620,plain,
    ! [X21,X22,X23,X24,X25,X26] : lhs_atom175(X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_621,plain,
    ! [X44,X45,X46,X47,X48,X49] : lhs_atom169(X44,X45,X46,X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_622,plain,
    ! [X24,X25,X26,X27,X28,X29] : lhs_atom165(X24,X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_623,plain,
    ! [X44,X45,X46,X47,X48,X49] : lhs_atom146(X44,X45,X46,X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_624,plain,
    ! [X46,X47,X48,X49,X50,X51] : lhs_atom144(X46,X47,X48,X49,X50,X51),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_625,plain,
    ! [X21,X22,X23,X24,X25,X26] : lhs_atom140(X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_626,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom134(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_627,plain,
    ! [X11,X12,X13,X14,X15,X16] : lhs_atom132(X11,X12,X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_357]) ).

fof(c_0_628,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom127(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_629,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom121(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_359]) ).

fof(c_0_630,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom109(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_631,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom106(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_632,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom102(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_633,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom98(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_634,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom97(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_635,plain,
    ! [X24,X25,X26,X27,X28,X29] : lhs_atom94(X24,X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_636,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom92(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_366]) ).

fof(c_0_637,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom91(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_638,plain,
    ! [X46,X47,X48,X49,X50,X51] : lhs_atom90(X46,X47,X48,X49,X50,X51),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_639,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom87(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_640,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom86(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_641,plain,
    ! [X27,X28,X29,X30,X31,X32] : lhs_atom84(X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_371]) ).

fof(c_0_642,plain,
    ! [X10,X11,X12,X13,X14,X15] : lhs_atom72(X10,X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_372]) ).

fof(c_0_643,plain,
    ! [X42,X43,X44,X45,X46,X47] : lhs_atom68(X42,X43,X44,X45,X46,X47),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_644,plain,
    ! [X31,X32,X33,X34,X35,X36] : lhs_atom64(X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_645,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom63(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_646,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom62(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_647,plain,
    ! [X27,X28,X29,X30,X31,X32] : lhs_atom52(X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_648,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom49(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_649,plain,
    ! [X24,X25,X26,X27,X28,X29] : lhs_atom47(X24,X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_650,plain,
    ! [X30,X31,X32,X33,X34,X35] : lhs_atom44(X30,X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_651,plain,
    ! [X31,X32,X33,X34,X35,X36] : lhs_atom42(X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_652,plain,
    ! [X31,X32,X33,X34,X35,X36] : lhs_atom32(X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_653,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom31(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_654,plain,
    ! [X24,X25,X26,X27,X28,X29] : lhs_atom30(X24,X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_655,plain,
    ! [X31,X32,X33,X34,X35,X36] : lhs_atom23(X31,X32,X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_656,plain,
    ! [X24,X25,X26,X27,X28,X29] : lhs_atom19(X24,X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_657,plain,
    ! [X26,X27,X28,X29,X30,X31] : lhs_atom18(X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_658,plain,
    ! [X11,X12,X13,X14,X15,X16] : lhs_atom14(X11,X12,X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_659,plain,
    ! [X10,X11,X12,X13,X14,X15] : lhs_atom2(X10,X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_660,plain,
    ! [X27,X28,X29,X30,X31] : lhs_atom244(X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_661,plain,
    ! [X27,X28,X29,X30,X31] : lhs_atom242(X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_662,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom235(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_392]) ).

fof(c_0_663,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom234(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_393]) ).

fof(c_0_664,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom227(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_665,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom220(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_666,plain,
    ! [X50,X51,X52,X53,X54] : lhs_atom219(X50,X51,X52,X53,X54),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_667,plain,
    ! [X50,X51,X52,X53,X54] : lhs_atom217(X50,X51,X52,X53,X54),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_668,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom211(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_669,plain,
    ! [X50,X51,X52,X53,X54] : lhs_atom205(X50,X51,X52,X53,X54),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_670,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom198(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_671,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom193(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_672,plain,
    ! [X46,X47,X48,X49,X50] : lhs_atom177(X46,X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_673,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom176(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_674,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom174(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_675,plain,
    ! [X48,X49,X50,X51,X52] : lhs_atom170(X48,X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_676,plain,
    ! [X52,X53,X54,X55,X56] : lhs_atom162(X52,X53,X54,X55,X56),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_677,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom161(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_678,plain,
    ! [X50,X51,X52,X53,X54] : lhs_atom156(X50,X51,X52,X53,X54),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_679,plain,
    ! [X49,X50,X51,X52,X53] : lhs_atom152(X49,X50,X51,X52,X53),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_680,plain,
    ! [X42,X43,X44,X45,X46] : lhs_atom150(X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_681,plain,
    ! [X48,X49,X50,X51,X52] : lhs_atom145(X48,X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_682,plain,
    ! [X26,X27,X28,X29,X30] : lhs_atom139(X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_683,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom129(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_684,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom128(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_685,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom125(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_686,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom124(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_687,plain,
    ! [X24,X25,X26,X27,X28] : lhs_atom123(X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_688,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom122(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_689,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom120(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_690,plain,
    ! [X26,X27,X28,X29,X30] : lhs_atom117(X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_691,plain,
    ! [X26,X27,X28,X29,X30] : lhs_atom116(X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_692,plain,
    ! [X46,X47,X48,X49,X50] : lhs_atom113(X46,X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_693,plain,
    ! [X31,X32,X33,X34,X35] : lhs_atom112(X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_694,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom107(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_695,plain,
    ! [X24,X25,X26,X27,X28] : lhs_atom105(X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_696,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom104(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_697,plain,
    ! [X13,X14,X15,X16,X17] : lhs_atom103(X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_698,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom101(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_699,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom83(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_700,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom80(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_701,plain,
    ! [X13,X14,X15,X16,X17] : lhs_atom77(X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_702,plain,
    ! [X24,X25,X26,X27,X28] : lhs_atom75(X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_703,plain,
    ! [X24,X25,X26,X27,X28] : lhs_atom74(X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_704,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom70(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_705,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom56(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_706,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom41(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_707,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom40(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_708,plain,
    ! [X31,X32,X33,X34,X35] : lhs_atom37(X31,X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_709,plain,
    ! [X6,X7,X8,X9,X10] : lhs_atom35(X6,X7,X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_710,plain,
    ! [X35,X36,X37,X38,X39] : lhs_atom33(X35,X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_711,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom22(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_712,plain,
    ! [X26,X27,X28,X29,X30] : lhs_atom21(X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_713,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom17(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_714,plain,
    ! [X22,X23,X24,X25,X26] : lhs_atom11(X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_715,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom10(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_716,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom9(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_717,plain,
    ! [X6,X7,X8,X9,X10] : lhs_atom1(X6,X7,X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_718,plain,
    ! [X20,X21,X22,X23] : lhs_atom258(X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_719,plain,
    ! [X44,X45,X46,X47] : lhs_atom249(X44,X45,X46,X47),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_720,plain,
    ! [X20,X21,X22,X23] : lhs_atom236(X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_721,plain,
    ! [X30,X31,X32,X33] : lhs_atom222(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_722,plain,
    ! [X44,X45,X46,X47] : lhs_atom215(X44,X45,X46,X47),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_723,plain,
    ! [X30,X31,X32,X33] : lhs_atom203(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_724,plain,
    ! [X53,X54,X55,X56] : lhs_atom189(X53,X54,X55,X56),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_725,plain,
    ! [X20,X21,X22,X23] : lhs_atom188(X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_726,plain,
    ! [X30,X31,X32,X33] : lhs_atom186(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_727,plain,
    ! [X21,X22,X23,X24] : lhs_atom173(X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_728,plain,
    ! [X47,X48,X49,X50] : lhs_atom172(X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_729,plain,
    ! [X55,X56,X57,X58] : lhs_atom171(X55,X56,X57,X58),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_730,plain,
    ! [X55,X56,X57,X58] : lhs_atom167(X55,X56,X57,X58),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_731,plain,
    ! [X30,X31,X32,X33] : lhs_atom166(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_732,plain,
    ! [X53,X54,X55,X56] : lhs_atom164(X53,X54,X55,X56),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_733,plain,
    ! [X30,X31,X32,X33] : lhs_atom163(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_734,plain,
    ! [X30,X31,X32,X33] : lhs_atom160(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_735,plain,
    ! [X20,X21,X22,X23] : lhs_atom155(X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_736,plain,
    ! [X49,X50,X51,X52] : lhs_atom153(X49,X50,X51,X52),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_737,plain,
    ! [X42,X43,X44,X45] : lhs_atom151(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_738,plain,
    ! [X42,X43,X44,X45] : lhs_atom149(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_739,plain,
    ! [X47,X48,X49,X50] : lhs_atom143(X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_740,plain,
    ! [X30,X31,X32,X33] : lhs_atom142(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_741,plain,
    ! [X42,X43,X44,X45] : lhs_atom141(X42,X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_742,plain,
    ! [X13,X14,X15,X16] : lhs_atom115(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_743,plain,
    ! [X30,X31,X32,X33] : lhs_atom114(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_744,plain,
    ! [X21,X22,X23,X24] : lhs_atom96(X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_745,plain,
    ! [X6,X7,X8,X9] : lhs_atom79(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_746,plain,
    ! [X10,X11,X12,X13] : lhs_atom66(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_747,plain,
    ! [X36,X37,X38,X39] : lhs_atom65(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_748,plain,
    ! [X30,X31,X32,X33] : lhs_atom59(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_749,plain,
    ! [X6,X7,X8,X9] : lhs_atom55(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_750,plain,
    ! [X36,X37,X38,X39] : lhs_atom46(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_751,plain,
    ! [X30,X31,X32,X33] : lhs_atom38(X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_752,plain,
    ! [X6,X7,X8,X9] : lhs_atom36(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_753,plain,
    ! [X6,X7,X8,X9] : lhs_atom28(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_754,plain,
    ! [X10,X11,X12,X13] : lhs_atom8(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_755,plain,
    ! [X13,X14,X15,X16] : lhs_atom5(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_756,plain,
    ! [X58,X59,X60] : lhs_atom267(X58,X59,X60),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_757,plain,
    ! [X46,X47,X48] : lhs_atom265(X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_487]) ).

fof(c_0_758,plain,
    ! [X42,X43,X44] : lhs_atom247(X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_759,plain,
    ! [X47,X48,X49] : lhs_atom239(X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_760,plain,
    ! [X58,X59,X60] : lhs_atom229(X58,X59,X60),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_761,plain,
    ! [X57,X58,X59] : lhs_atom228(X57,X58,X59),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_762,plain,
    ! [X53,X54,X55] : lhs_atom194(X53,X54,X55),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_763,plain,
    ! [X53,X54,X55] : lhs_atom190(X53,X54,X55),
    inference(variable_rename,[status(thm)],[c_0_493]) ).

fof(c_0_764,plain,
    ! [X44,X45,X46] : lhs_atom183(X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_494]) ).

fof(c_0_765,plain,
    ! [X16,X17,X18] : lhs_atom178(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_766,plain,
    ! [X47,X48,X49] : lhs_atom168(X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_767,plain,
    ! [X47,X48,X49] : lhs_atom147(X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_497]) ).

fof(c_0_768,plain,
    ! [X13,X14,X15] : lhs_atom135(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_769,plain,
    ! [X30,X31,X32] : lhs_atom108(X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_770,plain,
    ! [X43,X44,X45] : lhs_atom89(X43,X44,X45),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_771,plain,
    ! [X30,X31,X32] : lhs_atom73(X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_772,plain,
    ! [X13,X14,X15] : lhs_atom71(X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_773,plain,
    ! [X39,X40,X41] : lhs_atom58(X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_774,plain,
    ! [X38,X39,X40] : lhs_atom57(X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_504]) ).

fof(c_0_775,plain,
    ! [X16,X17,X18] : lhs_atom7(X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_776,plain,
    ! [X37,X38] : lhs_atom270(X37,X38),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_777,plain,
    ! [X37,X38] : lhs_atom257(X37,X38),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_778,plain,
    ! [X16,X17] : lhs_atom243(X16,X17),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_779,plain,
    ! [X39,X40] : lhs_atom93(X39,X40),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_780,plain,
    ! [X12] : lhs_atom253(X12),
    inference(variable_rename,[status(thm)],[c_0_510]) ).

fof(c_0_781,plain,
    ! [X12] : lhs_atom245(X12),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_782,plain,
    ! [X43] : lhs_atom238(X43),
    inference(variable_rename,[status(thm)],[c_0_512]) ).

fof(c_0_783,plain,
    ! [X12] : lhs_atom216(X12),
    inference(variable_rename,[status(thm)],[c_0_513]) ).

fof(c_0_784,plain,
    ! [X12] : lhs_atom157(X12),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_785,plain,
    ! [X37] : lhs_atom136(X37),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_786,plain,
    ! [X43] : lhs_atom99(X43),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_787,plain,
    ! [X12] : lhs_atom82(X12),
    inference(variable_rename,[status(thm)],[c_0_517]) ).

fof(c_0_788,plain,
    ! [X43] : lhs_atom78(X43),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_789,plain,
    ! [X12] : lhs_atom4(X12),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_790,plain,
    lhs_atom269,
    c_0_520 ).

fof(c_0_791,plain,
    lhs_atom268,
    c_0_521 ).

fof(c_0_792,plain,
    lhs_atom266,
    c_0_522 ).

fof(c_0_793,plain,
    lhs_atom264,
    c_0_523 ).

fof(c_0_794,plain,
    lhs_atom263,
    c_0_524 ).

fof(c_0_795,plain,
    lhs_atom262,
    c_0_525 ).

fof(c_0_796,plain,
    lhs_atom261,
    c_0_526 ).

fof(c_0_797,plain,
    lhs_atom255,
    c_0_527 ).

fof(c_0_798,plain,
    lhs_atom254,
    c_0_528 ).

fof(c_0_799,plain,
    lhs_atom250,
    c_0_529 ).

fof(c_0_800,plain,
    lhs_atom237,
    c_0_530 ).

fof(c_0_801,plain,
    lhs_atom225,
    c_0_531 ).

fof(c_0_802,plain,
    lhs_atom214,
    c_0_532 ).

fof(c_0_803,plain,
    lhs_atom131,
    c_0_533 ).

fof(c_0_804,plain,
    lhs_atom130,
    c_0_534 ).

fof(c_0_805,plain,
    lhs_atom61,
    c_0_535 ).

fof(c_0_806,plain,
    lhs_atom54,
    c_0_536 ).

fof(c_0_807,plain,
    lhs_atom48,
    c_0_537 ).

fof(c_0_808,plain,
    lhs_atom45,
    c_0_538 ).

fof(c_0_809,plain,
    lhs_atom6,
    c_0_539 ).

cnf(c_0_810,plain,
    lhs_atom204(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_811,plain,
    lhs_atom199(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_812,plain,
    lhs_atom252(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_813,plain,
    lhs_atom241(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_814,plain,
    lhs_atom232(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_544]) ).

cnf(c_0_815,plain,
    lhs_atom226(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

cnf(c_0_816,plain,
    lhs_atom224(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_546]) ).

cnf(c_0_817,plain,
    lhs_atom206(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_547]) ).

cnf(c_0_818,plain,
    lhs_atom196(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_548]) ).

cnf(c_0_819,plain,
    lhs_atom185(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_820,plain,
    lhs_atom126(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_821,plain,
    lhs_atom119(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_822,plain,
    lhs_atom100(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_823,plain,
    lhs_atom81(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_553]) ).

cnf(c_0_824,plain,
    lhs_atom76(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_825,plain,
    lhs_atom69(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_826,plain,
    lhs_atom53(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_827,plain,
    lhs_atom51(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_828,plain,
    lhs_atom50(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_829,plain,
    lhs_atom34(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

cnf(c_0_830,plain,
    lhs_atom26(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_560]) ).

cnf(c_0_831,plain,
    lhs_atom24(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_832,plain,
    lhs_atom260(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_562]) ).

cnf(c_0_833,plain,
    lhs_atom259(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_834,plain,
    lhs_atom233(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_564]) ).

cnf(c_0_835,plain,
    lhs_atom230(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_565]) ).

cnf(c_0_836,plain,
    lhs_atom209(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_566]) ).

cnf(c_0_837,plain,
    lhs_atom208(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_838,plain,
    lhs_atom202(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_839,plain,
    lhs_atom200(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_840,plain,
    lhs_atom187(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_841,plain,
    lhs_atom182(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_842,plain,
    lhs_atom159(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_843,plain,
    lhs_atom158(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_844,plain,
    lhs_atom154(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_845,plain,
    lhs_atom148(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_846,plain,
    lhs_atom138(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_847,plain,
    lhs_atom137(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_848,plain,
    lhs_atom133(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_849,plain,
    lhs_atom118(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_850,plain,
    lhs_atom111(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_851,plain,
    lhs_atom110(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_852,plain,
    lhs_atom95(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_853,plain,
    lhs_atom88(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_854,plain,
    lhs_atom85(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_855,plain,
    lhs_atom67(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_856,plain,
    lhs_atom60(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_857,plain,
    lhs_atom43(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_858,plain,
    lhs_atom39(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_859,plain,
    lhs_atom29(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_860,plain,
    lhs_atom27(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_861,plain,
    lhs_atom25(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_862,plain,
    lhs_atom20(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_863,plain,
    lhs_atom16(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_864,plain,
    lhs_atom15(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_865,plain,
    lhs_atom13(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_866,plain,
    lhs_atom12(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_867,plain,
    lhs_atom3(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_868,plain,
    lhs_atom256(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_869,plain,
    lhs_atom251(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_599]) ).

cnf(c_0_870,plain,
    lhs_atom248(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_871,plain,
    lhs_atom246(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_601]) ).

cnf(c_0_872,plain,
    lhs_atom240(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_873,plain,
    lhs_atom231(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_874,plain,
    lhs_atom223(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_875,plain,
    lhs_atom221(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_876,plain,
    lhs_atom218(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_877,plain,
    lhs_atom213(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_878,plain,
    lhs_atom212(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_879,plain,
    lhs_atom210(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_880,plain,
    lhs_atom207(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_881,plain,
    lhs_atom201(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_882,plain,
    lhs_atom197(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_883,plain,
    lhs_atom195(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_613]) ).

cnf(c_0_884,plain,
    lhs_atom192(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_885,plain,
    lhs_atom191(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_886,plain,
    lhs_atom184(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_887,plain,
    lhs_atom181(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_888,plain,
    lhs_atom180(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_618]) ).

cnf(c_0_889,plain,
    lhs_atom179(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_890,plain,
    lhs_atom175(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_891,plain,
    lhs_atom169(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_892,plain,
    lhs_atom165(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_893,plain,
    lhs_atom146(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_894,plain,
    lhs_atom144(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_895,plain,
    lhs_atom140(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

cnf(c_0_896,plain,
    lhs_atom134(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_897,plain,
    lhs_atom132(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_627]) ).

cnf(c_0_898,plain,
    lhs_atom127(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_628]) ).

cnf(c_0_899,plain,
    lhs_atom121(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_900,plain,
    lhs_atom109(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_630]) ).

cnf(c_0_901,plain,
    lhs_atom106(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_631]) ).

cnf(c_0_902,plain,
    lhs_atom102(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_632]) ).

cnf(c_0_903,plain,
    lhs_atom98(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_633]) ).

cnf(c_0_904,plain,
    lhs_atom97(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_634]) ).

cnf(c_0_905,plain,
    lhs_atom94(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_635]) ).

cnf(c_0_906,plain,
    lhs_atom92(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_636]) ).

cnf(c_0_907,plain,
    lhs_atom91(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_637]) ).

cnf(c_0_908,plain,
    lhs_atom90(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_638]) ).

cnf(c_0_909,plain,
    lhs_atom87(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_639]) ).

cnf(c_0_910,plain,
    lhs_atom86(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_911,plain,
    lhs_atom84(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_912,plain,
    lhs_atom72(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_913,plain,
    lhs_atom68(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

cnf(c_0_914,plain,
    lhs_atom64(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_644]) ).

cnf(c_0_915,plain,
    lhs_atom63(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_645]) ).

cnf(c_0_916,plain,
    lhs_atom62(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_917,plain,
    lhs_atom52(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_647]) ).

cnf(c_0_918,plain,
    lhs_atom49(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_919,plain,
    lhs_atom47(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_649]) ).

cnf(c_0_920,plain,
    lhs_atom44(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_650]) ).

cnf(c_0_921,plain,
    lhs_atom42(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_651]) ).

cnf(c_0_922,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_652]) ).

cnf(c_0_923,plain,
    lhs_atom31(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

cnf(c_0_924,plain,
    lhs_atom30(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_654]) ).

cnf(c_0_925,plain,
    lhs_atom23(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_655]) ).

cnf(c_0_926,plain,
    lhs_atom19(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_927,plain,
    lhs_atom18(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_928,plain,
    lhs_atom14(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_658]) ).

cnf(c_0_929,plain,
    lhs_atom2(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

cnf(c_0_930,plain,
    lhs_atom244(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_660]) ).

cnf(c_0_931,plain,
    lhs_atom242(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_932,plain,
    lhs_atom235(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_662]) ).

cnf(c_0_933,plain,
    lhs_atom234(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_934,plain,
    lhs_atom227(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_664]) ).

cnf(c_0_935,plain,
    lhs_atom220(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_665]) ).

cnf(c_0_936,plain,
    lhs_atom219(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_666]) ).

cnf(c_0_937,plain,
    lhs_atom217(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_667]) ).

cnf(c_0_938,plain,
    lhs_atom211(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_668]) ).

cnf(c_0_939,plain,
    lhs_atom205(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_669]) ).

cnf(c_0_940,plain,
    lhs_atom198(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_670]) ).

cnf(c_0_941,plain,
    lhs_atom193(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_942,plain,
    lhs_atom177(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_943,plain,
    lhs_atom176(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_944,plain,
    lhs_atom174(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_674]) ).

cnf(c_0_945,plain,
    lhs_atom170(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_675]) ).

cnf(c_0_946,plain,
    lhs_atom162(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_676]) ).

cnf(c_0_947,plain,
    lhs_atom161(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_677]) ).

cnf(c_0_948,plain,
    lhs_atom156(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_678]) ).

cnf(c_0_949,plain,
    lhs_atom152(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_679]) ).

cnf(c_0_950,plain,
    lhs_atom150(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_951,plain,
    lhs_atom145(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_952,plain,
    lhs_atom139(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_682]) ).

cnf(c_0_953,plain,
    lhs_atom129(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_683]) ).

cnf(c_0_954,plain,
    lhs_atom128(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_684]) ).

cnf(c_0_955,plain,
    lhs_atom125(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_685]) ).

cnf(c_0_956,plain,
    lhs_atom124(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_686]) ).

cnf(c_0_957,plain,
    lhs_atom123(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_958,plain,
    lhs_atom122(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_959,plain,
    lhs_atom120(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_960,plain,
    lhs_atom117(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_690]) ).

cnf(c_0_961,plain,
    lhs_atom116(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

cnf(c_0_962,plain,
    lhs_atom113(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_692]) ).

cnf(c_0_963,plain,
    lhs_atom112(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_964,plain,
    lhs_atom107(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_694]) ).

cnf(c_0_965,plain,
    lhs_atom105(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_966,plain,
    lhs_atom104(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_967,plain,
    lhs_atom103(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_968,plain,
    lhs_atom101(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_969,plain,
    lhs_atom83(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_699]) ).

cnf(c_0_970,plain,
    lhs_atom80(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_700]) ).

cnf(c_0_971,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_972,plain,
    lhs_atom75(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_973,plain,
    lhs_atom74(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_974,plain,
    lhs_atom70(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_975,plain,
    lhs_atom56(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_976,plain,
    lhs_atom41(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_977,plain,
    lhs_atom40(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_978,plain,
    lhs_atom37(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_708]) ).

cnf(c_0_979,plain,
    lhs_atom35(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_709]) ).

cnf(c_0_980,plain,
    lhs_atom33(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_710]) ).

cnf(c_0_981,plain,
    lhs_atom22(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_711]) ).

cnf(c_0_982,plain,
    lhs_atom21(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_712]) ).

cnf(c_0_983,plain,
    lhs_atom17(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_713]) ).

cnf(c_0_984,plain,
    lhs_atom11(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_985,plain,
    lhs_atom10(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_715]) ).

cnf(c_0_986,plain,
    lhs_atom9(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_716]) ).

cnf(c_0_987,plain,
    lhs_atom1(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_988,plain,
    lhs_atom258(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_718]) ).

cnf(c_0_989,plain,
    lhs_atom249(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_990,plain,
    lhs_atom236(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_720]) ).

cnf(c_0_991,plain,
    lhs_atom222(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_721]) ).

cnf(c_0_992,plain,
    lhs_atom215(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

cnf(c_0_993,plain,
    lhs_atom203(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_723]) ).

cnf(c_0_994,plain,
    lhs_atom189(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_724]) ).

cnf(c_0_995,plain,
    lhs_atom188(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_725]) ).

cnf(c_0_996,plain,
    lhs_atom186(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_726]) ).

cnf(c_0_997,plain,
    lhs_atom173(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_998,plain,
    lhs_atom172(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_999,plain,
    lhs_atom171(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_1000,plain,
    lhs_atom167(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_730]) ).

cnf(c_0_1001,plain,
    lhs_atom166(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_731]) ).

cnf(c_0_1002,plain,
    lhs_atom164(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_1003,plain,
    lhs_atom163(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_733]) ).

cnf(c_0_1004,plain,
    lhs_atom160(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_1005,plain,
    lhs_atom155(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_1006,plain,
    lhs_atom153(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_1007,plain,
    lhs_atom151(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_1008,plain,
    lhs_atom149(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_1009,plain,
    lhs_atom143(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_739]) ).

cnf(c_0_1010,plain,
    lhs_atom142(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_740]) ).

cnf(c_0_1011,plain,
    lhs_atom141(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_1012,plain,
    lhs_atom115(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_742]) ).

cnf(c_0_1013,plain,
    lhs_atom114(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1014,plain,
    lhs_atom96(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_744]) ).

cnf(c_0_1015,plain,
    lhs_atom79(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_745]) ).

cnf(c_0_1016,plain,
    lhs_atom66(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1017,plain,
    lhs_atom65(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_1018,plain,
    lhs_atom59(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1019,plain,
    lhs_atom55(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1020,plain,
    lhs_atom46(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_1021,plain,
    lhs_atom38(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1022,plain,
    lhs_atom36(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

cnf(c_0_1023,plain,
    lhs_atom28(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_753]) ).

cnf(c_0_1024,plain,
    lhs_atom8(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_754]) ).

cnf(c_0_1025,plain,
    lhs_atom5(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_1026,plain,
    lhs_atom267(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_756]) ).

cnf(c_0_1027,plain,
    lhs_atom265(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_757]) ).

cnf(c_0_1028,plain,
    lhs_atom247(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1029,plain,
    lhs_atom239(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1030,plain,
    lhs_atom229(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1031,plain,
    lhs_atom228(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1032,plain,
    lhs_atom194(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1033,plain,
    lhs_atom190(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1034,plain,
    lhs_atom183(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_764]) ).

cnf(c_0_1035,plain,
    lhs_atom178(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_765]) ).

cnf(c_0_1036,plain,
    lhs_atom168(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_766]) ).

cnf(c_0_1037,plain,
    lhs_atom147(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_767]) ).

cnf(c_0_1038,plain,
    lhs_atom135(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

cnf(c_0_1039,plain,
    lhs_atom108(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_769]) ).

cnf(c_0_1040,plain,
    lhs_atom89(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_1041,plain,
    lhs_atom73(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_771]) ).

cnf(c_0_1042,plain,
    lhs_atom71(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_772]) ).

cnf(c_0_1043,plain,
    lhs_atom58(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_773]) ).

cnf(c_0_1044,plain,
    lhs_atom57(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_774]) ).

cnf(c_0_1045,plain,
    lhs_atom7(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_775]) ).

cnf(c_0_1046,plain,
    lhs_atom270(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_776]) ).

cnf(c_0_1047,plain,
    lhs_atom257(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_777]) ).

cnf(c_0_1048,plain,
    lhs_atom243(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

cnf(c_0_1049,plain,
    lhs_atom93(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_779]) ).

cnf(c_0_1050,plain,
    lhs_atom253(X1),
    inference(split_conjunct,[status(thm)],[c_0_780]) ).

cnf(c_0_1051,plain,
    lhs_atom245(X1),
    inference(split_conjunct,[status(thm)],[c_0_781]) ).

cnf(c_0_1052,plain,
    lhs_atom238(X1),
    inference(split_conjunct,[status(thm)],[c_0_782]) ).

cnf(c_0_1053,plain,
    lhs_atom216(X1),
    inference(split_conjunct,[status(thm)],[c_0_783]) ).

cnf(c_0_1054,plain,
    lhs_atom157(X1),
    inference(split_conjunct,[status(thm)],[c_0_784]) ).

cnf(c_0_1055,plain,
    lhs_atom136(X1),
    inference(split_conjunct,[status(thm)],[c_0_785]) ).

cnf(c_0_1056,plain,
    lhs_atom99(X1),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1057,plain,
    lhs_atom82(X1),
    inference(split_conjunct,[status(thm)],[c_0_787]) ).

cnf(c_0_1058,plain,
    lhs_atom78(X1),
    inference(split_conjunct,[status(thm)],[c_0_788]) ).

cnf(c_0_1059,plain,
    lhs_atom4(X1),
    inference(split_conjunct,[status(thm)],[c_0_789]) ).

cnf(c_0_1060,plain,
    lhs_atom269,
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

cnf(c_0_1061,plain,
    lhs_atom268,
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1062,plain,
    lhs_atom266,
    inference(split_conjunct,[status(thm)],[c_0_792]) ).

cnf(c_0_1063,plain,
    lhs_atom264,
    inference(split_conjunct,[status(thm)],[c_0_793]) ).

cnf(c_0_1064,plain,
    lhs_atom263,
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1065,plain,
    lhs_atom262,
    inference(split_conjunct,[status(thm)],[c_0_795]) ).

cnf(c_0_1066,plain,
    lhs_atom261,
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1067,plain,
    lhs_atom255,
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1068,plain,
    lhs_atom254,
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1069,plain,
    lhs_atom250,
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1070,plain,
    lhs_atom237,
    inference(split_conjunct,[status(thm)],[c_0_800]) ).

cnf(c_0_1071,plain,
    lhs_atom225,
    inference(split_conjunct,[status(thm)],[c_0_801]) ).

cnf(c_0_1072,plain,
    lhs_atom214,
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_1073,plain,
    lhs_atom131,
    inference(split_conjunct,[status(thm)],[c_0_803]) ).

cnf(c_0_1074,plain,
    lhs_atom130,
    inference(split_conjunct,[status(thm)],[c_0_804]) ).

cnf(c_0_1075,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_805]) ).

cnf(c_0_1076,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_806]) ).

cnf(c_0_1077,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_807]) ).

cnf(c_0_1078,plain,
    lhs_atom45,
    inference(split_conjunct,[status(thm)],[c_0_808]) ).

cnf(c_0_1079,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_809]) ).

cnf(c_0_1080,plain,
    lhs_atom204(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    c_0_810,
    [final] ).

cnf(c_0_1081,plain,
    lhs_atom199(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    c_0_811,
    [final] ).

cnf(c_0_1082,plain,
    lhs_atom252(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_812,
    [final] ).

cnf(c_0_1083,plain,
    lhs_atom241(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_813,
    [final] ).

cnf(c_0_1084,plain,
    lhs_atom232(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_814,
    [final] ).

cnf(c_0_1085,plain,
    lhs_atom226(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_815,
    [final] ).

cnf(c_0_1086,plain,
    lhs_atom224(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_816,
    [final] ).

cnf(c_0_1087,plain,
    lhs_atom206(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_817,
    [final] ).

cnf(c_0_1088,plain,
    lhs_atom196(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_818,
    [final] ).

cnf(c_0_1089,plain,
    lhs_atom185(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_819,
    [final] ).

cnf(c_0_1090,plain,
    lhs_atom126(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_820,
    [final] ).

cnf(c_0_1091,plain,
    lhs_atom119(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_821,
    [final] ).

cnf(c_0_1092,plain,
    lhs_atom100(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_822,
    [final] ).

cnf(c_0_1093,plain,
    lhs_atom81(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_823,
    [final] ).

cnf(c_0_1094,plain,
    lhs_atom76(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_824,
    [final] ).

cnf(c_0_1095,plain,
    lhs_atom69(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_825,
    [final] ).

cnf(c_0_1096,plain,
    lhs_atom53(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_826,
    [final] ).

cnf(c_0_1097,plain,
    lhs_atom51(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_827,
    [final] ).

cnf(c_0_1098,plain,
    lhs_atom50(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_828,
    [final] ).

cnf(c_0_1099,plain,
    lhs_atom34(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_829,
    [final] ).

cnf(c_0_1100,plain,
    lhs_atom26(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_830,
    [final] ).

cnf(c_0_1101,plain,
    lhs_atom24(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_831,
    [final] ).

cnf(c_0_1102,plain,
    lhs_atom260(X1,X2,X3,X4,X5,X6,X7),
    c_0_832,
    [final] ).

cnf(c_0_1103,plain,
    lhs_atom259(X1,X2,X3,X4,X5,X6,X7),
    c_0_833,
    [final] ).

cnf(c_0_1104,plain,
    lhs_atom233(X1,X2,X3,X4,X5,X6,X7),
    c_0_834,
    [final] ).

cnf(c_0_1105,plain,
    lhs_atom230(X1,X2,X3,X4,X5,X6,X7),
    c_0_835,
    [final] ).

cnf(c_0_1106,plain,
    lhs_atom209(X1,X2,X3,X4,X5,X6,X7),
    c_0_836,
    [final] ).

cnf(c_0_1107,plain,
    lhs_atom208(X1,X2,X3,X4,X5,X6,X7),
    c_0_837,
    [final] ).

cnf(c_0_1108,plain,
    lhs_atom202(X1,X2,X3,X4,X5,X6,X7),
    c_0_838,
    [final] ).

cnf(c_0_1109,plain,
    lhs_atom200(X1,X2,X3,X4,X5,X6,X7),
    c_0_839,
    [final] ).

cnf(c_0_1110,plain,
    lhs_atom187(X1,X2,X3,X4,X5,X6,X7),
    c_0_840,
    [final] ).

cnf(c_0_1111,plain,
    lhs_atom182(X1,X2,X3,X4,X5,X6,X7),
    c_0_841,
    [final] ).

cnf(c_0_1112,plain,
    lhs_atom159(X1,X2,X3,X4,X5,X6,X7),
    c_0_842,
    [final] ).

cnf(c_0_1113,plain,
    lhs_atom158(X1,X2,X3,X4,X5,X6,X7),
    c_0_843,
    [final] ).

cnf(c_0_1114,plain,
    lhs_atom154(X1,X2,X3,X4,X5,X6,X7),
    c_0_844,
    [final] ).

cnf(c_0_1115,plain,
    lhs_atom148(X1,X2,X3,X4,X5,X6,X7),
    c_0_845,
    [final] ).

cnf(c_0_1116,plain,
    lhs_atom138(X1,X2,X3,X4,X5,X6,X7),
    c_0_846,
    [final] ).

cnf(c_0_1117,plain,
    lhs_atom137(X1,X2,X3,X4,X5,X6,X7),
    c_0_847,
    [final] ).

cnf(c_0_1118,plain,
    lhs_atom133(X1,X2,X3,X4,X5,X6,X7),
    c_0_848,
    [final] ).

cnf(c_0_1119,plain,
    lhs_atom118(X1,X2,X3,X4,X5,X6,X7),
    c_0_849,
    [final] ).

cnf(c_0_1120,plain,
    lhs_atom111(X1,X2,X3,X4,X5,X6,X7),
    c_0_850,
    [final] ).

cnf(c_0_1121,plain,
    lhs_atom110(X1,X2,X3,X4,X5,X6,X7),
    c_0_851,
    [final] ).

cnf(c_0_1122,plain,
    lhs_atom95(X1,X2,X3,X4,X5,X6,X7),
    c_0_852,
    [final] ).

cnf(c_0_1123,plain,
    lhs_atom88(X1,X2,X3,X4,X5,X6,X7),
    c_0_853,
    [final] ).

cnf(c_0_1124,plain,
    lhs_atom85(X1,X2,X3,X4,X5,X6,X7),
    c_0_854,
    [final] ).

cnf(c_0_1125,plain,
    lhs_atom67(X1,X2,X3,X4,X5,X6,X7),
    c_0_855,
    [final] ).

cnf(c_0_1126,plain,
    lhs_atom60(X1,X2,X3,X4,X5,X6,X7),
    c_0_856,
    [final] ).

cnf(c_0_1127,plain,
    lhs_atom43(X1,X2,X3,X4,X5,X6,X7),
    c_0_857,
    [final] ).

cnf(c_0_1128,plain,
    lhs_atom39(X1,X2,X3,X4,X5,X6,X7),
    c_0_858,
    [final] ).

cnf(c_0_1129,plain,
    lhs_atom29(X1,X2,X3,X4,X5,X6,X7),
    c_0_859,
    [final] ).

cnf(c_0_1130,plain,
    lhs_atom27(X1,X2,X3,X4,X5,X6,X7),
    c_0_860,
    [final] ).

cnf(c_0_1131,plain,
    lhs_atom25(X1,X2,X3,X4,X5,X6,X7),
    c_0_861,
    [final] ).

cnf(c_0_1132,plain,
    lhs_atom20(X1,X2,X3,X4,X5,X6,X7),
    c_0_862,
    [final] ).

cnf(c_0_1133,plain,
    lhs_atom16(X1,X2,X3,X4,X5,X6,X7),
    c_0_863,
    [final] ).

cnf(c_0_1134,plain,
    lhs_atom15(X1,X2,X3,X4,X5,X6,X7),
    c_0_864,
    [final] ).

cnf(c_0_1135,plain,
    lhs_atom13(X1,X2,X3,X4,X5,X6,X7),
    c_0_865,
    [final] ).

cnf(c_0_1136,plain,
    lhs_atom12(X1,X2,X3,X4,X5,X6,X7),
    c_0_866,
    [final] ).

cnf(c_0_1137,plain,
    lhs_atom3(X1,X2,X3,X4,X5,X6,X7),
    c_0_867,
    [final] ).

cnf(c_0_1138,plain,
    lhs_atom256(X1,X2,X3,X4,X5,X6),
    c_0_868,
    [final] ).

cnf(c_0_1139,plain,
    lhs_atom251(X1,X2,X3,X4,X5,X6),
    c_0_869,
    [final] ).

cnf(c_0_1140,plain,
    lhs_atom248(X1,X2,X3,X4,X5,X6),
    c_0_870,
    [final] ).

cnf(c_0_1141,plain,
    lhs_atom246(X1,X2,X3,X4,X5,X6),
    c_0_871,
    [final] ).

cnf(c_0_1142,plain,
    lhs_atom240(X1,X2,X3,X4,X5,X6),
    c_0_872,
    [final] ).

cnf(c_0_1143,plain,
    lhs_atom231(X1,X2,X3,X4,X5,X6),
    c_0_873,
    [final] ).

cnf(c_0_1144,plain,
    lhs_atom223(X1,X2,X3,X4,X5,X6),
    c_0_874,
    [final] ).

cnf(c_0_1145,plain,
    lhs_atom221(X1,X2,X3,X4,X5,X6),
    c_0_875,
    [final] ).

cnf(c_0_1146,plain,
    lhs_atom218(X1,X2,X3,X4,X5,X6),
    c_0_876,
    [final] ).

cnf(c_0_1147,plain,
    lhs_atom213(X1,X2,X3,X4,X5,X6),
    c_0_877,
    [final] ).

cnf(c_0_1148,plain,
    lhs_atom212(X1,X2,X3,X4,X5,X6),
    c_0_878,
    [final] ).

cnf(c_0_1149,plain,
    lhs_atom210(X1,X2,X3,X4,X5,X6),
    c_0_879,
    [final] ).

cnf(c_0_1150,plain,
    lhs_atom207(X1,X2,X3,X4,X5,X6),
    c_0_880,
    [final] ).

cnf(c_0_1151,plain,
    lhs_atom201(X1,X2,X3,X4,X5,X6),
    c_0_881,
    [final] ).

cnf(c_0_1152,plain,
    lhs_atom197(X1,X2,X3,X4,X5,X6),
    c_0_882,
    [final] ).

cnf(c_0_1153,plain,
    lhs_atom195(X1,X2,X3,X4,X5,X6),
    c_0_883,
    [final] ).

cnf(c_0_1154,plain,
    lhs_atom192(X1,X2,X3,X4,X5,X6),
    c_0_884,
    [final] ).

cnf(c_0_1155,plain,
    lhs_atom191(X1,X2,X3,X4,X5,X6),
    c_0_885,
    [final] ).

cnf(c_0_1156,plain,
    lhs_atom184(X1,X2,X3,X4,X5,X6),
    c_0_886,
    [final] ).

cnf(c_0_1157,plain,
    lhs_atom181(X1,X2,X3,X4,X5,X6),
    c_0_887,
    [final] ).

cnf(c_0_1158,plain,
    lhs_atom180(X1,X2,X3,X4,X5,X6),
    c_0_888,
    [final] ).

cnf(c_0_1159,plain,
    lhs_atom179(X1,X2,X3,X4,X5,X6),
    c_0_889,
    [final] ).

cnf(c_0_1160,plain,
    lhs_atom175(X1,X2,X3,X4,X5,X6),
    c_0_890,
    [final] ).

cnf(c_0_1161,plain,
    lhs_atom169(X1,X2,X3,X4,X5,X6),
    c_0_891,
    [final] ).

cnf(c_0_1162,plain,
    lhs_atom165(X1,X2,X3,X4,X5,X6),
    c_0_892,
    [final] ).

cnf(c_0_1163,plain,
    lhs_atom146(X1,X2,X3,X4,X5,X6),
    c_0_893,
    [final] ).

cnf(c_0_1164,plain,
    lhs_atom144(X1,X2,X3,X4,X5,X6),
    c_0_894,
    [final] ).

cnf(c_0_1165,plain,
    lhs_atom140(X1,X2,X3,X4,X5,X6),
    c_0_895,
    [final] ).

cnf(c_0_1166,plain,
    lhs_atom134(X1,X2,X3,X4,X5,X6),
    c_0_896,
    [final] ).

cnf(c_0_1167,plain,
    lhs_atom132(X1,X2,X3,X4,X5,X6),
    c_0_897,
    [final] ).

cnf(c_0_1168,plain,
    lhs_atom127(X1,X2,X3,X4,X5,X6),
    c_0_898,
    [final] ).

cnf(c_0_1169,plain,
    lhs_atom121(X1,X2,X3,X4,X5,X6),
    c_0_899,
    [final] ).

cnf(c_0_1170,plain,
    lhs_atom109(X1,X2,X3,X4,X5,X6),
    c_0_900,
    [final] ).

cnf(c_0_1171,plain,
    lhs_atom106(X1,X2,X3,X4,X5,X6),
    c_0_901,
    [final] ).

cnf(c_0_1172,plain,
    lhs_atom102(X1,X2,X3,X4,X5,X6),
    c_0_902,
    [final] ).

cnf(c_0_1173,plain,
    lhs_atom98(X1,X2,X3,X4,X5,X6),
    c_0_903,
    [final] ).

cnf(c_0_1174,plain,
    lhs_atom97(X1,X2,X3,X4,X5,X6),
    c_0_904,
    [final] ).

cnf(c_0_1175,plain,
    lhs_atom94(X1,X2,X3,X4,X5,X6),
    c_0_905,
    [final] ).

cnf(c_0_1176,plain,
    lhs_atom92(X1,X2,X3,X4,X5,X6),
    c_0_906,
    [final] ).

cnf(c_0_1177,plain,
    lhs_atom91(X1,X2,X3,X4,X5,X6),
    c_0_907,
    [final] ).

cnf(c_0_1178,plain,
    lhs_atom90(X1,X2,X3,X4,X5,X6),
    c_0_908,
    [final] ).

cnf(c_0_1179,plain,
    lhs_atom87(X1,X2,X3,X4,X5,X6),
    c_0_909,
    [final] ).

cnf(c_0_1180,plain,
    lhs_atom86(X1,X2,X3,X4,X5,X6),
    c_0_910,
    [final] ).

cnf(c_0_1181,plain,
    lhs_atom84(X1,X2,X3,X4,X5,X6),
    c_0_911,
    [final] ).

cnf(c_0_1182,plain,
    lhs_atom72(X1,X2,X3,X4,X5,X6),
    c_0_912,
    [final] ).

cnf(c_0_1183,plain,
    lhs_atom68(X1,X2,X3,X4,X5,X6),
    c_0_913,
    [final] ).

cnf(c_0_1184,plain,
    lhs_atom64(X1,X2,X3,X4,X5,X6),
    c_0_914,
    [final] ).

cnf(c_0_1185,plain,
    lhs_atom63(X1,X2,X3,X4,X5,X6),
    c_0_915,
    [final] ).

cnf(c_0_1186,plain,
    lhs_atom62(X1,X2,X3,X4,X5,X6),
    c_0_916,
    [final] ).

cnf(c_0_1187,plain,
    lhs_atom52(X1,X2,X3,X4,X5,X6),
    c_0_917,
    [final] ).

cnf(c_0_1188,plain,
    lhs_atom49(X1,X2,X3,X4,X5,X6),
    c_0_918,
    [final] ).

cnf(c_0_1189,plain,
    lhs_atom47(X1,X2,X3,X4,X5,X6),
    c_0_919,
    [final] ).

cnf(c_0_1190,plain,
    lhs_atom44(X1,X2,X3,X4,X5,X6),
    c_0_920,
    [final] ).

cnf(c_0_1191,plain,
    lhs_atom42(X1,X2,X3,X4,X5,X6),
    c_0_921,
    [final] ).

cnf(c_0_1192,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6),
    c_0_922,
    [final] ).

cnf(c_0_1193,plain,
    lhs_atom31(X1,X2,X3,X4,X5,X6),
    c_0_923,
    [final] ).

cnf(c_0_1194,plain,
    lhs_atom30(X1,X2,X3,X4,X5,X6),
    c_0_924,
    [final] ).

cnf(c_0_1195,plain,
    lhs_atom23(X1,X2,X3,X4,X5,X6),
    c_0_925,
    [final] ).

cnf(c_0_1196,plain,
    lhs_atom19(X1,X2,X3,X4,X5,X6),
    c_0_926,
    [final] ).

cnf(c_0_1197,plain,
    lhs_atom18(X1,X2,X3,X4,X5,X6),
    c_0_927,
    [final] ).

cnf(c_0_1198,plain,
    lhs_atom14(X1,X2,X3,X4,X5,X6),
    c_0_928,
    [final] ).

cnf(c_0_1199,plain,
    lhs_atom2(X1,X2,X3,X4,X5,X6),
    c_0_929,
    [final] ).

cnf(c_0_1200,plain,
    lhs_atom244(X1,X2,X3,X4,X5),
    c_0_930,
    [final] ).

cnf(c_0_1201,plain,
    lhs_atom242(X1,X2,X3,X4,X5),
    c_0_931,
    [final] ).

cnf(c_0_1202,plain,
    lhs_atom235(X1,X2,X3,X4,X5),
    c_0_932,
    [final] ).

cnf(c_0_1203,plain,
    lhs_atom234(X1,X2,X3,X4,X5),
    c_0_933,
    [final] ).

cnf(c_0_1204,plain,
    lhs_atom227(X1,X2,X3,X4,X5),
    c_0_934,
    [final] ).

cnf(c_0_1205,plain,
    lhs_atom220(X1,X2,X3,X4,X5),
    c_0_935,
    [final] ).

cnf(c_0_1206,plain,
    lhs_atom219(X1,X2,X3,X4,X5),
    c_0_936,
    [final] ).

cnf(c_0_1207,plain,
    lhs_atom217(X1,X2,X3,X4,X5),
    c_0_937,
    [final] ).

cnf(c_0_1208,plain,
    lhs_atom211(X1,X2,X3,X4,X5),
    c_0_938,
    [final] ).

cnf(c_0_1209,plain,
    lhs_atom205(X1,X2,X3,X4,X5),
    c_0_939,
    [final] ).

cnf(c_0_1210,plain,
    lhs_atom198(X1,X2,X3,X4,X5),
    c_0_940,
    [final] ).

cnf(c_0_1211,plain,
    lhs_atom193(X1,X2,X3,X4,X5),
    c_0_941,
    [final] ).

cnf(c_0_1212,plain,
    lhs_atom177(X1,X2,X3,X4,X5),
    c_0_942,
    [final] ).

cnf(c_0_1213,plain,
    lhs_atom176(X1,X2,X3,X4,X5),
    c_0_943,
    [final] ).

cnf(c_0_1214,plain,
    lhs_atom174(X1,X2,X3,X4,X5),
    c_0_944,
    [final] ).

cnf(c_0_1215,plain,
    lhs_atom170(X1,X2,X3,X4,X5),
    c_0_945,
    [final] ).

cnf(c_0_1216,plain,
    lhs_atom162(X1,X2,X3,X4,X5),
    c_0_946,
    [final] ).

cnf(c_0_1217,plain,
    lhs_atom161(X1,X2,X3,X4,X5),
    c_0_947,
    [final] ).

cnf(c_0_1218,plain,
    lhs_atom156(X1,X2,X3,X4,X5),
    c_0_948,
    [final] ).

cnf(c_0_1219,plain,
    lhs_atom152(X1,X2,X3,X4,X5),
    c_0_949,
    [final] ).

cnf(c_0_1220,plain,
    lhs_atom150(X1,X2,X3,X4,X5),
    c_0_950,
    [final] ).

cnf(c_0_1221,plain,
    lhs_atom145(X1,X2,X3,X4,X5),
    c_0_951,
    [final] ).

cnf(c_0_1222,plain,
    lhs_atom139(X1,X2,X3,X4,X5),
    c_0_952,
    [final] ).

cnf(c_0_1223,plain,
    lhs_atom129(X1,X2,X3,X4,X5),
    c_0_953,
    [final] ).

cnf(c_0_1224,plain,
    lhs_atom128(X1,X2,X3,X4,X5),
    c_0_954,
    [final] ).

cnf(c_0_1225,plain,
    lhs_atom125(X1,X2,X3,X4,X5),
    c_0_955,
    [final] ).

cnf(c_0_1226,plain,
    lhs_atom124(X1,X2,X3,X4,X5),
    c_0_956,
    [final] ).

cnf(c_0_1227,plain,
    lhs_atom123(X1,X2,X3,X4,X5),
    c_0_957,
    [final] ).

cnf(c_0_1228,plain,
    lhs_atom122(X1,X2,X3,X4,X5),
    c_0_958,
    [final] ).

cnf(c_0_1229,plain,
    lhs_atom120(X1,X2,X3,X4,X5),
    c_0_959,
    [final] ).

cnf(c_0_1230,plain,
    lhs_atom117(X1,X2,X3,X4,X5),
    c_0_960,
    [final] ).

cnf(c_0_1231,plain,
    lhs_atom116(X1,X2,X3,X4,X5),
    c_0_961,
    [final] ).

cnf(c_0_1232,plain,
    lhs_atom113(X1,X2,X3,X4,X5),
    c_0_962,
    [final] ).

cnf(c_0_1233,plain,
    lhs_atom112(X1,X2,X3,X4,X5),
    c_0_963,
    [final] ).

cnf(c_0_1234,plain,
    lhs_atom107(X1,X2,X3,X4,X5),
    c_0_964,
    [final] ).

cnf(c_0_1235,plain,
    lhs_atom105(X1,X2,X3,X4,X5),
    c_0_965,
    [final] ).

cnf(c_0_1236,plain,
    lhs_atom104(X1,X2,X3,X4,X5),
    c_0_966,
    [final] ).

cnf(c_0_1237,plain,
    lhs_atom103(X1,X2,X3,X4,X5),
    c_0_967,
    [final] ).

cnf(c_0_1238,plain,
    lhs_atom101(X1,X2,X3,X4,X5),
    c_0_968,
    [final] ).

cnf(c_0_1239,plain,
    lhs_atom83(X1,X2,X3,X4,X5),
    c_0_969,
    [final] ).

cnf(c_0_1240,plain,
    lhs_atom80(X1,X2,X3,X4,X5),
    c_0_970,
    [final] ).

cnf(c_0_1241,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    c_0_971,
    [final] ).

cnf(c_0_1242,plain,
    lhs_atom75(X1,X2,X3,X4,X5),
    c_0_972,
    [final] ).

cnf(c_0_1243,plain,
    lhs_atom74(X1,X2,X3,X4,X5),
    c_0_973,
    [final] ).

cnf(c_0_1244,plain,
    lhs_atom70(X1,X2,X3,X4,X5),
    c_0_974,
    [final] ).

cnf(c_0_1245,plain,
    lhs_atom56(X1,X2,X3,X4,X5),
    c_0_975,
    [final] ).

cnf(c_0_1246,plain,
    lhs_atom41(X1,X2,X3,X4,X5),
    c_0_976,
    [final] ).

cnf(c_0_1247,plain,
    lhs_atom40(X1,X2,X3,X4,X5),
    c_0_977,
    [final] ).

cnf(c_0_1248,plain,
    lhs_atom37(X1,X2,X3,X4,X5),
    c_0_978,
    [final] ).

cnf(c_0_1249,plain,
    lhs_atom35(X1,X2,X3,X4,X5),
    c_0_979,
    [final] ).

cnf(c_0_1250,plain,
    lhs_atom33(X1,X2,X3,X4,X5),
    c_0_980,
    [final] ).

cnf(c_0_1251,plain,
    lhs_atom22(X1,X2,X3,X4,X5),
    c_0_981,
    [final] ).

cnf(c_0_1252,plain,
    lhs_atom21(X1,X2,X3,X4,X5),
    c_0_982,
    [final] ).

cnf(c_0_1253,plain,
    lhs_atom17(X1,X2,X3,X4,X5),
    c_0_983,
    [final] ).

cnf(c_0_1254,plain,
    lhs_atom11(X1,X2,X3,X4,X5),
    c_0_984,
    [final] ).

cnf(c_0_1255,plain,
    lhs_atom10(X1,X2,X3,X4,X5),
    c_0_985,
    [final] ).

cnf(c_0_1256,plain,
    lhs_atom9(X1,X2,X3,X4,X5),
    c_0_986,
    [final] ).

cnf(c_0_1257,plain,
    lhs_atom1(X1,X2,X3,X4,X5),
    c_0_987,
    [final] ).

cnf(c_0_1258,plain,
    lhs_atom258(X1,X2,X3,X4),
    c_0_988,
    [final] ).

cnf(c_0_1259,plain,
    lhs_atom249(X1,X2,X3,X4),
    c_0_989,
    [final] ).

cnf(c_0_1260,plain,
    lhs_atom236(X1,X2,X3,X4),
    c_0_990,
    [final] ).

cnf(c_0_1261,plain,
    lhs_atom222(X1,X2,X3,X4),
    c_0_991,
    [final] ).

cnf(c_0_1262,plain,
    lhs_atom215(X1,X2,X3,X4),
    c_0_992,
    [final] ).

cnf(c_0_1263,plain,
    lhs_atom203(X1,X2,X3,X4),
    c_0_993,
    [final] ).

cnf(c_0_1264,plain,
    lhs_atom189(X1,X2,X3,X4),
    c_0_994,
    [final] ).

cnf(c_0_1265,plain,
    lhs_atom188(X1,X2,X3,X4),
    c_0_995,
    [final] ).

cnf(c_0_1266,plain,
    lhs_atom186(X1,X2,X3,X4),
    c_0_996,
    [final] ).

cnf(c_0_1267,plain,
    lhs_atom173(X1,X2,X3,X4),
    c_0_997,
    [final] ).

cnf(c_0_1268,plain,
    lhs_atom172(X1,X2,X3,X4),
    c_0_998,
    [final] ).

cnf(c_0_1269,plain,
    lhs_atom171(X1,X2,X3,X4),
    c_0_999,
    [final] ).

cnf(c_0_1270,plain,
    lhs_atom167(X1,X2,X3,X4),
    c_0_1000,
    [final] ).

cnf(c_0_1271,plain,
    lhs_atom166(X1,X2,X3,X4),
    c_0_1001,
    [final] ).

cnf(c_0_1272,plain,
    lhs_atom164(X1,X2,X3,X4),
    c_0_1002,
    [final] ).

cnf(c_0_1273,plain,
    lhs_atom163(X1,X2,X3,X4),
    c_0_1003,
    [final] ).

cnf(c_0_1274,plain,
    lhs_atom160(X1,X2,X3,X4),
    c_0_1004,
    [final] ).

cnf(c_0_1275,plain,
    lhs_atom155(X1,X2,X3,X4),
    c_0_1005,
    [final] ).

cnf(c_0_1276,plain,
    lhs_atom153(X1,X2,X3,X4),
    c_0_1006,
    [final] ).

cnf(c_0_1277,plain,
    lhs_atom151(X1,X2,X3,X4),
    c_0_1007,
    [final] ).

cnf(c_0_1278,plain,
    lhs_atom149(X1,X2,X3,X4),
    c_0_1008,
    [final] ).

cnf(c_0_1279,plain,
    lhs_atom143(X1,X2,X3,X4),
    c_0_1009,
    [final] ).

cnf(c_0_1280,plain,
    lhs_atom142(X1,X2,X3,X4),
    c_0_1010,
    [final] ).

cnf(c_0_1281,plain,
    lhs_atom141(X1,X2,X3,X4),
    c_0_1011,
    [final] ).

cnf(c_0_1282,plain,
    lhs_atom115(X1,X2,X3,X4),
    c_0_1012,
    [final] ).

cnf(c_0_1283,plain,
    lhs_atom114(X1,X2,X3,X4),
    c_0_1013,
    [final] ).

cnf(c_0_1284,plain,
    lhs_atom96(X1,X2,X3,X4),
    c_0_1014,
    [final] ).

cnf(c_0_1285,plain,
    lhs_atom79(X1,X2,X3,X4),
    c_0_1015,
    [final] ).

cnf(c_0_1286,plain,
    lhs_atom66(X1,X2,X3,X4),
    c_0_1016,
    [final] ).

cnf(c_0_1287,plain,
    lhs_atom65(X1,X2,X3,X4),
    c_0_1017,
    [final] ).

cnf(c_0_1288,plain,
    lhs_atom59(X1,X2,X3,X4),
    c_0_1018,
    [final] ).

cnf(c_0_1289,plain,
    lhs_atom55(X1,X2,X3,X4),
    c_0_1019,
    [final] ).

cnf(c_0_1290,plain,
    lhs_atom46(X1,X2,X3,X4),
    c_0_1020,
    [final] ).

cnf(c_0_1291,plain,
    lhs_atom38(X1,X2,X3,X4),
    c_0_1021,
    [final] ).

cnf(c_0_1292,plain,
    lhs_atom36(X1,X2,X3,X4),
    c_0_1022,
    [final] ).

cnf(c_0_1293,plain,
    lhs_atom28(X1,X2,X3,X4),
    c_0_1023,
    [final] ).

cnf(c_0_1294,plain,
    lhs_atom8(X1,X2,X3,X4),
    c_0_1024,
    [final] ).

cnf(c_0_1295,plain,
    lhs_atom5(X1,X2,X3,X4),
    c_0_1025,
    [final] ).

cnf(c_0_1296,plain,
    lhs_atom267(X1,X2,X3),
    c_0_1026,
    [final] ).

cnf(c_0_1297,plain,
    lhs_atom265(X1,X2,X3),
    c_0_1027,
    [final] ).

cnf(c_0_1298,plain,
    lhs_atom247(X1,X2,X3),
    c_0_1028,
    [final] ).

cnf(c_0_1299,plain,
    lhs_atom239(X1,X2,X3),
    c_0_1029,
    [final] ).

cnf(c_0_1300,plain,
    lhs_atom229(X1,X2,X3),
    c_0_1030,
    [final] ).

cnf(c_0_1301,plain,
    lhs_atom228(X1,X2,X3),
    c_0_1031,
    [final] ).

cnf(c_0_1302,plain,
    lhs_atom194(X1,X2,X3),
    c_0_1032,
    [final] ).

cnf(c_0_1303,plain,
    lhs_atom190(X1,X2,X3),
    c_0_1033,
    [final] ).

cnf(c_0_1304,plain,
    lhs_atom183(X1,X2,X3),
    c_0_1034,
    [final] ).

cnf(c_0_1305,plain,
    lhs_atom178(X1,X2,X3),
    c_0_1035,
    [final] ).

cnf(c_0_1306,plain,
    lhs_atom168(X1,X2,X3),
    c_0_1036,
    [final] ).

cnf(c_0_1307,plain,
    lhs_atom147(X1,X2,X3),
    c_0_1037,
    [final] ).

cnf(c_0_1308,plain,
    lhs_atom135(X1,X2,X3),
    c_0_1038,
    [final] ).

cnf(c_0_1309,plain,
    lhs_atom108(X1,X2,X3),
    c_0_1039,
    [final] ).

cnf(c_0_1310,plain,
    lhs_atom89(X1,X2,X3),
    c_0_1040,
    [final] ).

cnf(c_0_1311,plain,
    lhs_atom73(X1,X2,X3),
    c_0_1041,
    [final] ).

cnf(c_0_1312,plain,
    lhs_atom71(X1,X2,X3),
    c_0_1042,
    [final] ).

cnf(c_0_1313,plain,
    lhs_atom58(X1,X2,X3),
    c_0_1043,
    [final] ).

cnf(c_0_1314,plain,
    lhs_atom57(X1,X2,X3),
    c_0_1044,
    [final] ).

cnf(c_0_1315,plain,
    lhs_atom7(X1,X2,X3),
    c_0_1045,
    [final] ).

cnf(c_0_1316,plain,
    lhs_atom270(X1,X2),
    c_0_1046,
    [final] ).

cnf(c_0_1317,plain,
    lhs_atom257(X1,X2),
    c_0_1047,
    [final] ).

cnf(c_0_1318,plain,
    lhs_atom243(X1,X2),
    c_0_1048,
    [final] ).

cnf(c_0_1319,plain,
    lhs_atom93(X1,X2),
    c_0_1049,
    [final] ).

cnf(c_0_1320,plain,
    lhs_atom253(X1),
    c_0_1050,
    [final] ).

cnf(c_0_1321,plain,
    lhs_atom245(X1),
    c_0_1051,
    [final] ).

cnf(c_0_1322,plain,
    lhs_atom238(X1),
    c_0_1052,
    [final] ).

cnf(c_0_1323,plain,
    lhs_atom216(X1),
    c_0_1053,
    [final] ).

cnf(c_0_1324,plain,
    lhs_atom157(X1),
    c_0_1054,
    [final] ).

cnf(c_0_1325,plain,
    lhs_atom136(X1),
    c_0_1055,
    [final] ).

cnf(c_0_1326,plain,
    lhs_atom99(X1),
    c_0_1056,
    [final] ).

cnf(c_0_1327,plain,
    lhs_atom82(X1),
    c_0_1057,
    [final] ).

cnf(c_0_1328,plain,
    lhs_atom78(X1),
    c_0_1058,
    [final] ).

cnf(c_0_1329,plain,
    lhs_atom4(X1),
    c_0_1059,
    [final] ).

cnf(c_0_1330,plain,
    lhs_atom269,
    c_0_1060,
    [final] ).

cnf(c_0_1331,plain,
    lhs_atom268,
    c_0_1061,
    [final] ).

cnf(c_0_1332,plain,
    lhs_atom266,
    c_0_1062,
    [final] ).

cnf(c_0_1333,plain,
    lhs_atom264,
    c_0_1063,
    [final] ).

cnf(c_0_1334,plain,
    lhs_atom263,
    c_0_1064,
    [final] ).

cnf(c_0_1335,plain,
    lhs_atom262,
    c_0_1065,
    [final] ).

cnf(c_0_1336,plain,
    lhs_atom261,
    c_0_1066,
    [final] ).

cnf(c_0_1337,plain,
    lhs_atom255,
    c_0_1067,
    [final] ).

cnf(c_0_1338,plain,
    lhs_atom254,
    c_0_1068,
    [final] ).

cnf(c_0_1339,plain,
    lhs_atom250,
    c_0_1069,
    [final] ).

cnf(c_0_1340,plain,
    lhs_atom237,
    c_0_1070,
    [final] ).

cnf(c_0_1341,plain,
    lhs_atom225,
    c_0_1071,
    [final] ).

cnf(c_0_1342,plain,
    lhs_atom214,
    c_0_1072,
    [final] ).

cnf(c_0_1343,plain,
    lhs_atom131,
    c_0_1073,
    [final] ).

cnf(c_0_1344,plain,
    lhs_atom130,
    c_0_1074,
    [final] ).

cnf(c_0_1345,plain,
    lhs_atom61,
    c_0_1075,
    [final] ).

cnf(c_0_1346,plain,
    lhs_atom54,
    c_0_1076,
    [final] ).

cnf(c_0_1347,plain,
    lhs_atom48,
    c_0_1077,
    [final] ).

cnf(c_0_1348,plain,
    lhs_atom45,
    c_0_1078,
    [final] ).

cnf(c_0_1349,plain,
    lhs_atom6,
    c_0_1079,
    [final] ).

% End CNF derivation
cnf(c_0_1080_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_1080,def_lhs_atom204]) ).

cnf(c_0_1081_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_1081,def_lhs_atom199]) ).

cnf(c_0_1082_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_1082,def_lhs_atom252]) ).

cnf(c_0_1083_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_1083,def_lhs_atom241]) ).

cnf(c_0_1084_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_1084,def_lhs_atom232]) ).

cnf(c_0_1085_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_1085,def_lhs_atom226]) ).

cnf(c_0_1086_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_1086,def_lhs_atom224]) ).

cnf(c_0_1087_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_1087,def_lhs_atom206]) ).

cnf(c_0_1088_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_1088,def_lhs_atom196]) ).

cnf(c_0_1089_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_1089,def_lhs_atom185]) ).

cnf(c_0_1090_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_1090,def_lhs_atom126]) ).

cnf(c_0_1091_0,axiom,
    c_Expr_Oexp_OFAss(X6,X3,X2,X5,X8) != c_Expr_Oexp_OBlock(X7,X1,X4,X8),
    inference(unfold_definition,[status(thm)],[c_0_1091,def_lhs_atom119]) ).

cnf(c_0_1092_0,axiom,
    c_Expr_Oexp_OBlock(X7,X1,X4,X8) != c_Expr_Oexp_OFAss(X6,X3,X2,X5,X8),
    inference(unfold_definition,[status(thm)],[c_0_1092,def_lhs_atom100]) ).

cnf(c_0_1093_0,axiom,
    c_Expr_Oexp_OBlock(X7,X1,X5,X8) != c_Expr_Oexp_OTryCatch(X4,X2,X6,X3,X8),
    inference(unfold_definition,[status(thm)],[c_0_1093,def_lhs_atom81]) ).

cnf(c_0_1094_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_1094,def_lhs_atom76]) ).

cnf(c_0_1095_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_1095,def_lhs_atom69]) ).

cnf(c_0_1096_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X2,X6,X3,X8) != c_Expr_Oexp_OBlock(X7,X1,X5,X8),
    inference(unfold_definition,[status(thm)],[c_0_1096,def_lhs_atom53]) ).

cnf(c_0_1097_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_1097,def_lhs_atom51]) ).

cnf(c_0_1098_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_1098,def_lhs_atom50]) ).

cnf(c_0_1099_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_1099,def_lhs_atom34]) ).

cnf(c_0_1100_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_1100,def_lhs_atom26]) ).

cnf(c_0_1101_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_1101,def_lhs_atom24]) ).

cnf(c_0_1102_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_1102,def_lhs_atom260]) ).

cnf(c_0_1103_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_1103,def_lhs_atom259]) ).

cnf(c_0_1104_0,axiom,
    c_Expr_Oexp_OWhile(X5,X3,X7) != c_Expr_Oexp_OFAss(X6,X2,X1,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_1104,def_lhs_atom233]) ).

cnf(c_0_1105_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_1105,def_lhs_atom230]) ).

cnf(c_0_1106_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_1106,def_lhs_atom209]) ).

cnf(c_0_1107_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_1107,def_lhs_atom208]) ).

cnf(c_0_1108_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X1,X6,X2,X7) != c_Expr_Oexp_OWhile(X5,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_1108,def_lhs_atom202]) ).

cnf(c_0_1109_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_1109,def_lhs_atom200]) ).

cnf(c_0_1110_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_1110,def_lhs_atom187]) ).

cnf(c_0_1111_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_1111,def_lhs_atom182]) ).

cnf(c_0_1112_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_1112,def_lhs_atom159]) ).

cnf(c_0_1113_0,axiom,
    c_Expr_Oexp_OFAss(X6,X2,X1,X4,X7) != c_Expr_Oexp_OWhile(X5,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_1113,def_lhs_atom158]) ).

cnf(c_0_1114_0,axiom,
    c_Expr_Oexp_OWhile(X5,X3,X7) != c_Expr_Oexp_OTryCatch(X4,X1,X6,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_1114,def_lhs_atom154]) ).

cnf(c_0_1115_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_1115,def_lhs_atom148]) ).

cnf(c_0_1116_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_1116,def_lhs_atom138]) ).

cnf(c_0_1117_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_1117,def_lhs_atom137]) ).

cnf(c_0_1118_0,axiom,
    c_Expr_Oexp_OFAcc(X5,X3,X2,X7) != c_Expr_Oexp_OBlock(X6,X1,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_1118,def_lhs_atom133]) ).

cnf(c_0_1119_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_1119,def_lhs_atom118]) ).

cnf(c_0_1120_0,axiom,
    c_Expr_Oexp_OBlock(X6,X1,X4,X7) != c_Expr_Oexp_OFAcc(X5,X3,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_1120,def_lhs_atom111]) ).

cnf(c_0_1121_0,axiom,
    c_Expr_Oexp_OBlock(X6,X1,X4,X7) != c_Expr_Oexp_OCall(X5,X3,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_1121,def_lhs_atom110]) ).

cnf(c_0_1122_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_1122,def_lhs_atom95]) ).

cnf(c_0_1123_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_1123,def_lhs_atom88]) ).

cnf(c_0_1124_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_1124,def_lhs_atom85]) ).

cnf(c_0_1125_0,axiom,
    c_Expr_Oexp_OBinOp(X4,X5,X3,X7) != c_Expr_Oexp_OBlock(X6,X1,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_1125,def_lhs_atom67]) ).

cnf(c_0_1126_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_1126,def_lhs_atom60]) ).

cnf(c_0_1127_0,axiom,
    c_Expr_Oexp_OBlock(X6,X1,X5,X7) != c_Expr_Oexp_OCond(X4,X3,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_1127,def_lhs_atom43]) ).

cnf(c_0_1128_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X7) != c_Expr_Oexp_OBlock(X6,X1,X5,X7),
    inference(unfold_definition,[status(thm)],[c_0_1128,def_lhs_atom39]) ).

cnf(c_0_1129_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_1129,def_lhs_atom29]) ).

cnf(c_0_1130_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_1130,def_lhs_atom27]) ).

cnf(c_0_1131_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_1131,def_lhs_atom25]) ).

cnf(c_0_1132_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_1132,def_lhs_atom20]) ).

cnf(c_0_1133_0,axiom,
    c_Expr_Oexp_OCall(X5,X3,X2,X7) != c_Expr_Oexp_OBlock(X6,X1,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_1133,def_lhs_atom16]) ).

cnf(c_0_1134_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_1134,def_lhs_atom15]) ).

cnf(c_0_1135_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_1135,def_lhs_atom13]) ).

cnf(c_0_1136_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_1136,def_lhs_atom12]) ).

cnf(c_0_1137_0,axiom,
    c_Expr_Oexp_OBlock(X6,X1,X2,X7) != c_Expr_Oexp_OBinOp(X4,X5,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_1137,def_lhs_atom3]) ).

cnf(c_0_1138_0,axiom,
    c_Expr_Oexp_OVal(X1,X6) != c_Expr_Oexp_OTryCatch(X4,X2,X5,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1138,def_lhs_atom256]) ).

cnf(c_0_1139_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X2,X5,X3,X6) != c_Expr_Oexp_OVal(X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1139,def_lhs_atom251]) ).

cnf(c_0_1140_0,axiom,
    c_Expr_Oexp_OCond(X4,X2,X1,X6) != c_Expr_Oexp_OSeq(X5,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1140,def_lhs_atom248]) ).

cnf(c_0_1141_0,axiom,
    c_Expr_Oexp_OSeq(X5,X3,X6) != c_Expr_Oexp_OCond(X4,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1141,def_lhs_atom246]) ).

cnf(c_0_1142_0,axiom,
    c_SmallStep_Oredp(X5,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,c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1142,def_lhs_atom240]) ).

cnf(c_0_1143_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_1143,def_lhs_atom231]) ).

cnf(c_0_1144_0,axiom,
    c_Expr_Oexp_Onew(X2,X6) != c_Expr_Oexp_OTryCatch(X4,X1,X5,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1144,def_lhs_atom223]) ).

cnf(c_0_1145_0,axiom,
    c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6) != c_Expr_Oexp_Onew(X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1145,def_lhs_atom221]) ).

cnf(c_0_1146_0,axiom,
    c_Expr_Oexp_Onew(X3,X6) != c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1146,def_lhs_atom218]) ).

cnf(c_0_1147_0,axiom,
    c_Expr_Oexp_OCond(X5,X3,X1,X6) != c_Expr_Oexp_OWhile(X4,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1147,def_lhs_atom213]) ).

cnf(c_0_1148_0,axiom,
    c_Expr_Oexp_OFAss(X5,X3,X2,X4,X6) != c_Expr_Oexp_OVal(X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1148,def_lhs_atom212]) ).

cnf(c_0_1149_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X6) != c_Expr_Oexp_OCast(X1,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_1149,def_lhs_atom210]) ).

cnf(c_0_1150_0,axiom,
    c_Expr_Oexp_OWhile(X4,X2,X6) != c_Expr_Oexp_OCond(X5,X3,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1150,def_lhs_atom207]) ).

cnf(c_0_1151_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X5,X2,X6) != c_Expr_Oexp_OCast(X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1151,def_lhs_atom201]) ).

cnf(c_0_1152_0,axiom,
    c_Expr_Oexp_OBinOp(X4,X5,X2,X6) != c_Expr_Oexp_OWhile(X3,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1152,def_lhs_atom197]) ).

cnf(c_0_1153_0,axiom,
    c_Expr_Oexp_OWhile(X3,X1,X6) != c_Expr_Oexp_OBinOp(X4,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1153,def_lhs_atom195]) ).

cnf(c_0_1154_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X1,X5,X3,X6) != c_Expr_Oexp_Onew(X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1154,def_lhs_atom192]) ).

cnf(c_0_1155_0,axiom,
    c_Expr_Oexp_OCast(X1,X4,X6) != c_Expr_Oexp_OBinOp(X3,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1155,def_lhs_atom191]) ).

cnf(c_0_1156_0,axiom,
    c_Fun_Ofun__upd(c_Fun_Ofun__upd(X4,X3,X2,X6,X5),X3,X1,X6,X5) = c_Fun_Ofun__upd(X4,X3,X1,X6,X5),
    inference(unfold_definition,[status(thm)],[c_0_1156,def_lhs_atom184]) ).

cnf(c_0_1157_0,axiom,
    c_Expr_Oexp_OBinOp(X4,X5,X2,X6) != c_Expr_Oexp_OSeq(X3,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1157,def_lhs_atom181]) ).

cnf(c_0_1158_0,axiom,
    c_Expr_Oexp_OSeq(X3,X1,X6) != c_Expr_Oexp_OBinOp(X4,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1158,def_lhs_atom180]) ).

cnf(c_0_1159_0,axiom,
    c_Expr_Oexp_OCast(X1,X5,X6) != c_Expr_Oexp_OCond(X4,X3,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1159,def_lhs_atom179]) ).

cnf(c_0_1160_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_1160,def_lhs_atom175]) ).

cnf(c_0_1161_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_1161,def_lhs_atom169]) ).

cnf(c_0_1162_0,axiom,
    c_Expr_Oexp_OVal(X1,X6) != c_Expr_Oexp_OFAss(X5,X3,X2,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1162,def_lhs_atom165]) ).

cnf(c_0_1163_0,axiom,
    c_SmallStep_Oredp(X4,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,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1163,def_lhs_atom146]) ).

cnf(c_0_1164_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X4,X5,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X4,c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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(c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X6),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_1164,def_lhs_atom144]) ).

cnf(c_0_1165_0,axiom,
    c_SmallStep_Oredp(X4,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,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1165,def_lhs_atom140]) ).

cnf(c_0_1166_0,axiom,
    c_Expr_Oexp_OCall(X4,X2,X1,X6) != c_Expr_Oexp_OCast(X3,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_1166,def_lhs_atom134]) ).

cnf(c_0_1167_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X6) != c_Expr_Oexp_OLAss(X5,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1167,def_lhs_atom132]) ).

cnf(c_0_1168_0,axiom,
    c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6) != c_Expr_Oexp_Othrow(X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1168,def_lhs_atom127]) ).

cnf(c_0_1169_0,axiom,
    c_Expr_Oexp_OCall(X5,X2,X1,X6) != c_Expr_Oexp_OWhile(X4,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1169,def_lhs_atom121]) ).

cnf(c_0_1170_0,axiom,
    c_Expr_Oexp_Othrow(X3,X6) != c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1170,def_lhs_atom109]) ).

cnf(c_0_1171_0,axiom,
    c_Expr_Oexp_OBlock(X5,X1,X3,X6) != c_Expr_Oexp_OCast(X2,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1171,def_lhs_atom106]) ).

cnf(c_0_1172_0,axiom,
    c_Expr_Oexp_Othrow(X4,X6) != c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1172,def_lhs_atom102]) ).

cnf(c_0_1173_0,axiom,
    c_Expr_Oexp_OCast(X3,X5,X6) != c_Expr_Oexp_OFAcc(X4,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1173,def_lhs_atom98]) ).

cnf(c_0_1174_0,axiom,
    c_Expr_Oexp_OCast(X3,X5,X6) != c_Expr_Oexp_OCall(X4,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1174,def_lhs_atom97]) ).

cnf(c_0_1175_0,axiom,
    c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OFAcc(X3,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1175,def_lhs_atom94]) ).

cnf(c_0_1176_0,axiom,
    c_Expr_Oexp_OSeq(X4,X3,X6) != c_Expr_Oexp_OCall(X5,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1176,def_lhs_atom92]) ).

cnf(c_0_1177_0,axiom,
    c_Expr_Oexp_OSeq(X4,X3,X6) != c_Expr_Oexp_OFAcc(X5,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1177,def_lhs_atom91]) ).

cnf(c_0_1178_0,axiom,
    c_SmallStep_Oredp(X6,c_Expr_Oexp_OBlock(X4,X5,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X4,c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3),
    inference(unfold_definition,[status(thm)],[c_0_1178,def_lhs_atom90]) ).

cnf(c_0_1179_0,axiom,
    c_Expr_Oexp_OWhile(X4,X3,X6) != c_Expr_Oexp_OCall(X5,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1179,def_lhs_atom87]) ).

cnf(c_0_1180_0,axiom,
    c_Expr_Oexp_OWhile(X4,X3,X6) != c_Expr_Oexp_OFAcc(X5,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1180,def_lhs_atom86]) ).

cnf(c_0_1181_0,axiom,
    c_Expr_Oexp_OCond(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1181,def_lhs_atom84]) ).

cnf(c_0_1182_0,axiom,
    c_Expr_Oexp_OBlock(X4,X1,X2,X6) != c_Expr_Oexp_OLAss(X5,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1182,def_lhs_atom72]) ).

cnf(c_0_1183_0,axiom,
    c_Map_Omap__add(X4,c_Fun_Ofun__upd(X3,X2,c_Option_Ooption_OSome(X1,X5),X6,tc_Option_Ooption(X5)),X6,X5) = c_Fun_Ofun__upd(c_Map_Omap__add(X4,X3,X6,X5),X2,c_Option_Ooption_OSome(X1,X5),X6,tc_Option_Ooption(X5)),
    inference(unfold_definition,[status(thm)],[c_0_1183,def_lhs_atom68]) ).

cnf(c_0_1184_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X6) != c_Expr_Oexp_OBlock(X5,X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1184,def_lhs_atom64]) ).

cnf(c_0_1185_0,axiom,
    c_Expr_Oexp_OFAcc(X5,X2,X1,X6) != c_Expr_Oexp_OWhile(X4,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1185,def_lhs_atom63]) ).

cnf(c_0_1186_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X2,X1,X6) != c_Expr_Oexp_OCast(X3,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_1186,def_lhs_atom62]) ).

cnf(c_0_1187_0,axiom,
    c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OCond(X3,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1187,def_lhs_atom52]) ).

cnf(c_0_1188_0,axiom,
    c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X6) != c_Expr_Oexp_Othrow(X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1188,def_lhs_atom49]) ).

cnf(c_0_1189_0,axiom,
    c_Expr_Oexp_OCall(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1189,def_lhs_atom47]) ).

cnf(c_0_1190_0,axiom,
    c_Expr_Oexp_OCast(X2,X4,X6) != c_Expr_Oexp_OBlock(X5,X1,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1190,def_lhs_atom44]) ).

cnf(c_0_1191_0,axiom,
    c_Expr_Oexp_OWhile(X3,X2,X6) != c_Expr_Oexp_OBlock(X5,X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1191,def_lhs_atom42]) ).

cnf(c_0_1192_0,axiom,
    c_Expr_Oexp_OBlock(X5,X1,X4,X6) != c_Expr_Oexp_OSeq(X3,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1192,def_lhs_atom32]) ).

cnf(c_0_1193_0,axiom,
    c_Expr_Oexp_OFAcc(X5,X2,X1,X6) != c_Expr_Oexp_OSeq(X4,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1193,def_lhs_atom31]) ).

cnf(c_0_1194_0,axiom,
    c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OCall(X3,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_1194,def_lhs_atom30]) ).

cnf(c_0_1195_0,axiom,
    c_Expr_Oexp_OBlock(X5,X1,X4,X6) != c_Expr_Oexp_OWhile(X3,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1195,def_lhs_atom23]) ).

cnf(c_0_1196_0,axiom,
    c_Expr_Oexp_OFAcc(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_1196,def_lhs_atom19]) ).

cnf(c_0_1197_0,axiom,
    c_Expr_Oexp_OCall(X5,X2,X1,X6) != c_Expr_Oexp_OSeq(X4,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_1197,def_lhs_atom18]) ).

cnf(c_0_1198_0,axiom,
    c_Expr_Oexp_OLAss(X5,X1,X6) != c_Expr_Oexp_OBinOp(X3,X4,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1198,def_lhs_atom14]) ).

cnf(c_0_1199_0,axiom,
    c_Expr_Oexp_OLAss(X5,X3,X6) != c_Expr_Oexp_OBlock(X4,X1,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_1199,def_lhs_atom2]) ).

cnf(c_0_1200_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1200,def_lhs_atom244]) ).

cnf(c_0_1201_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1201,def_lhs_atom242]) ).

cnf(c_0_1202_0,axiom,
    c_Expr_Oexp_OWhile(X3,X2,X5) != c_Expr_Oexp_OCast(X1,X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_1202,def_lhs_atom235]) ).

cnf(c_0_1203_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X5) != c_Expr_Oexp_OCast(X1,X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_1203,def_lhs_atom234]) ).

cnf(c_0_1204_0,axiom,
    c_Expr_Oexp_OWhile(X3,X1,X5) != c_Expr_Oexp_OSeq(X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1204,def_lhs_atom227]) ).

cnf(c_0_1205_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_Onew(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1205,def_lhs_atom220]) ).

cnf(c_0_1206_0,axiom,
    c_Expr_Oexp_Onew(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1206,def_lhs_atom219]) ).

cnf(c_0_1207_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_Onew(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1207,def_lhs_atom217]) ).

cnf(c_0_1208_0,axiom,
    c_Expr_Oexp_OCast(X1,X4,X5) != c_Expr_Oexp_OWhile(X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1208,def_lhs_atom211]) ).

cnf(c_0_1209_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1209,def_lhs_atom205]) ).

cnf(c_0_1210_0,axiom,
    c_Expr_Oexp_OSeq(X4,X2,X5) != c_Expr_Oexp_OWhile(X3,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1210,def_lhs_atom198]) ).

cnf(c_0_1211_0,axiom,
    c_Expr_Oexp_Onew(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1211,def_lhs_atom193]) ).

cnf(c_0_1212_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X3,X4,c_Expr_Oexp_OVal(X1,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_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_1212,def_lhs_atom177]) ).

cnf(c_0_1213_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_1213,def_lhs_atom176]) ).

cnf(c_0_1214_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_1214,def_lhs_atom174]) ).

cnf(c_0_1215_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_1215,def_lhs_atom170]) ).

cnf(c_0_1216_0,axiom,
    hAPP(c_Fun_Ofun__upd(X3,X1,c_Option_Ooption_OSome(X2,X5),X4,tc_Option_Ooption(X5)),X1) = c_Option_Ooption_OSome(X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1216,def_lhs_atom162]) ).

cnf(c_0_1217_0,axiom,
    c_Expr_Oexp_OCast(X1,X4,X5) != c_Expr_Oexp_OSeq(X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1217,def_lhs_atom161]) ).

cnf(c_0_1218_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1218,def_lhs_atom156]) ).

cnf(c_0_1219_0,axiom,
    hAPP(c_Fun_Ofun__upd(X3,X2,X1,X5,X4),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1219,def_lhs_atom152]) ).

cnf(c_0_1220_0,axiom,
    hAPP(c_Fun_Ofun__upd(X3,X2,X1,X4,X5),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1220,def_lhs_atom150]) ).

cnf(c_0_1221_0,axiom,
    c_SmallStep_Oredp(X5,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,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X2),
    inference(unfold_definition,[status(thm)],[c_0_1221,def_lhs_atom145]) ).

cnf(c_0_1222_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X2,X1,X5) != c_Expr_Oexp_Othrow(X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1222,def_lhs_atom139]) ).

cnf(c_0_1223_0,axiom,
    c_SmallStep_Oredp(X3,c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X4,X5,tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1223,def_lhs_atom129]) ).

cnf(c_0_1224_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X2,X1,X5) != c_Expr_Oexp_Onew(X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1224,def_lhs_atom128]) ).

cnf(c_0_1225_0,axiom,
    c_Expr_Oexp_OBlock(X4,X1,X3,X5) != c_Expr_Oexp_Onew(X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1225,def_lhs_atom125]) ).

cnf(c_0_1226_0,axiom,
    c_Expr_Oexp_Othrow(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1226,def_lhs_atom124]) ).

cnf(c_0_1227_0,axiom,
    c_Expr_Oexp_OCall(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1227,def_lhs_atom123]) ).

cnf(c_0_1228_0,axiom,
    c_Expr_Oexp_Onew(X3,X5) != c_Expr_Oexp_OFAcc(X4,X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1228,def_lhs_atom122]) ).

cnf(c_0_1229_0,axiom,
    c_Expr_Oexp_Onew(X3,X5) != c_Expr_Oexp_OCall(X4,X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1229,def_lhs_atom120]) ).

cnf(c_0_1230_0,axiom,
    c_Expr_Oexp_Othrow(X3,X5) != c_Expr_Oexp_OFAcc(X4,X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1230,def_lhs_atom117]) ).

cnf(c_0_1231_0,axiom,
    c_Expr_Oexp_Othrow(X3,X5) != c_Expr_Oexp_OCall(X4,X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1231,def_lhs_atom116]) ).

cnf(c_0_1232_0,axiom,
    c_SmallStep_Oredp(X5,c_Expr_Oexp_OBlock(X3,X4,c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),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_1232,def_lhs_atom113]) ).

cnf(c_0_1233_0,axiom,
    c_Expr_Oexp_Othrow(X2,X5) != c_Expr_Oexp_OBlock(X4,X1,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1233,def_lhs_atom112]) ).

cnf(c_0_1234_0,axiom,
    c_Expr_Oexp_OLAss(X4,X3,X5) != c_Expr_Oexp_OWhile(X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1234,def_lhs_atom107]) ).

cnf(c_0_1235_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1235,def_lhs_atom105]) ).

cnf(c_0_1236_0,axiom,
    c_SmallStep_Oredp(X5,c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,X2,tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1236,def_lhs_atom104]) ).

cnf(c_0_1237_0,axiom,
    c_Expr_Oexp_OBlock(X4,X2,X3,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1237,def_lhs_atom103]) ).

cnf(c_0_1238_0,axiom,
    c_Expr_Oexp_Onew(X2,X5) != c_Expr_Oexp_OBlock(X4,X1,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1238,def_lhs_atom101]) ).

cnf(c_0_1239_0,axiom,
    c_Expr_Oexp_OCall(X4,X2,X1,X5) != c_Expr_Oexp_Onew(X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1239,def_lhs_atom83]) ).

cnf(c_0_1240_0,axiom,
    c_Expr_Oexp_OCast(X1,X3,X5) != c_Expr_Oexp_OLAss(X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1240,def_lhs_atom80]) ).

cnf(c_0_1241_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OBlock(X4,X2,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1241,def_lhs_atom77]) ).

cnf(c_0_1242_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCall(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1242,def_lhs_atom75]) ).

cnf(c_0_1243_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OFAcc(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1243,def_lhs_atom74]) ).

cnf(c_0_1244_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_1244,def_lhs_atom70]) ).

cnf(c_0_1245_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_Othrow(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1245,def_lhs_atom56]) ).

cnf(c_0_1246_0,axiom,
    c_Expr_Oexp_OSeq(X2,X1,X5) != c_Expr_Oexp_OLAss(X4,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1246,def_lhs_atom41]) ).

cnf(c_0_1247_0,axiom,
    c_Expr_Oexp_OWhile(X2,X1,X5) != c_Expr_Oexp_OLAss(X4,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1247,def_lhs_atom40]) ).

cnf(c_0_1248_0,axiom,
    c_Expr_Oexp_OBlock(X4,X1,X3,X5) != c_Expr_Oexp_Othrow(X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1248,def_lhs_atom37]) ).

cnf(c_0_1249_0,axiom,
    c_Expr_Oexp_Othrow(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_1249,def_lhs_atom35]) ).

cnf(c_0_1250_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_1250,def_lhs_atom33]) ).

cnf(c_0_1251_0,axiom,
    c_Expr_Oexp_OLAss(X4,X2,X5) != c_Expr_Oexp_OCast(X1,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1251,def_lhs_atom22]) ).

cnf(c_0_1252_0,axiom,
    c_Expr_Oexp_OCall(X4,X2,X1,X5) != c_Expr_Oexp_Othrow(X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_1252,def_lhs_atom21]) ).

cnf(c_0_1253_0,axiom,
    c_SmallStep_Oredp(X4,c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X5,X2,tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1253,def_lhs_atom17]) ).

cnf(c_0_1254_0,axiom,
    c_SmallStep_Oredp(X5,c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X3,X2,tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1254,def_lhs_atom11]) ).

cnf(c_0_1255_0,axiom,
    c_Expr_Oexp_OLAss(X4,X3,X5) != c_Expr_Oexp_OSeq(X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1255,def_lhs_atom10]) ).

cnf(c_0_1256_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_1256,def_lhs_atom9]) ).

cnf(c_0_1257_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_Othrow(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_1257,def_lhs_atom1]) ).

cnf(c_0_1258_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1258,def_lhs_atom258]) ).

cnf(c_0_1259_0,axiom,
    c_SmallStep_Oredp(X4,c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X3,tc_List_Olist(tc_String_Ochar)),X2,X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_1259,def_lhs_atom249]) ).

cnf(c_0_1260_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1260,def_lhs_atom236]) ).

cnf(c_0_1261_0,axiom,
    c_Expr_Oexp_Onew(X2,X4) != c_Expr_Oexp_OCast(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_1261,def_lhs_atom222]) ).

cnf(c_0_1262_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_1262,def_lhs_atom215]) ).

cnf(c_0_1263_0,axiom,
    c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_Onew(X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1263,def_lhs_atom203]) ).

cnf(c_0_1264_0,axiom,
    c_Expr_Oexp_OCast(X2,X3,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1264,def_lhs_atom189]) ).

cnf(c_0_1265_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1265,def_lhs_atom188]) ).

cnf(c_0_1266_0,axiom,
    c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_Onew(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1266,def_lhs_atom186]) ).

cnf(c_0_1267_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_1267,def_lhs_atom173]) ).

cnf(c_0_1268_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_1268,def_lhs_atom172]) ).

cnf(c_0_1269_0,axiom,
    c_SmallStep_Oredp(X4,c_Expr_Oexp_OWhile(X3,X2,tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_OCond(X3,c_Expr_Oexp_OSeq(X2,c_Expr_Oexp_OWhile(X3,X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1269,def_lhs_atom171]) ).

cnf(c_0_1270_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(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_OCond(X3,c_Expr_Oexp_OSeq(X2,c_Expr_Oexp_OWhile(X3,X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_1270,def_lhs_atom167]) ).

cnf(c_0_1271_0,axiom,
    c_Expr_Oexp_Onew(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1271,def_lhs_atom166]) ).

cnf(c_0_1272_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OCast(X2,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_1272,def_lhs_atom164]) ).

cnf(c_0_1273_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_Onew(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1273,def_lhs_atom163]) ).

cnf(c_0_1274_0,axiom,
    c_Expr_Oexp_Onew(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1274,def_lhs_atom160]) ).

cnf(c_0_1275_0,axiom,
    c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1275,def_lhs_atom155]) ).

cnf(c_0_1276_0,axiom,
    c_Fun_Ofun__upd(X2,X1,hAPP(X2,X1),X3,X4) = X2,
    inference(unfold_definition,[status(thm)],[c_0_1276,def_lhs_atom153]) ).

cnf(c_0_1277_0,axiom,
    c_Fun_Ofun__upd(X2,X1,hAPP(X2,X1),X4,X3) = X2,
    inference(unfold_definition,[status(thm)],[c_0_1277,def_lhs_atom151]) ).

cnf(c_0_1278_0,axiom,
    c_Fun_Ofun__upd(X2,X1,hAPP(X2,X1),X3,X4) = X2,
    inference(unfold_definition,[status(thm)],[c_0_1278,def_lhs_atom149]) ).

cnf(c_0_1279_0,axiom,
    c_SmallStep_Oredp(X3,c_Expr_Oexp_OCast(X4,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1279,def_lhs_atom143]) ).

cnf(c_0_1280_0,axiom,
    c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_Onew(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1280,def_lhs_atom142]) ).

cnf(c_0_1281_0,axiom,
    c_Map_Omap__le(X2,c_Map_Omap__add(X1,X2,X4,X3),X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_1281,def_lhs_atom141]) ).

cnf(c_0_1282_0,axiom,
    c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1282,def_lhs_atom115]) ).

cnf(c_0_1283_0,axiom,
    c_Expr_Oexp_Othrow(X2,X4) != c_Expr_Oexp_OCast(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_1283,def_lhs_atom114]) ).

cnf(c_0_1284_0,axiom,
    c_SmallStep_Oredp(X4,c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X2,tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1284,def_lhs_atom96]) ).

cnf(c_0_1285_0,axiom,
    c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1285,def_lhs_atom79]) ).

cnf(c_0_1286_0,axiom,
    c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1286,def_lhs_atom66]) ).

cnf(c_0_1287_0,axiom,
    c_SmallStep_Oredp(X4,c_Expr_Oexp_OLAss(X3,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1287,def_lhs_atom65]) ).

cnf(c_0_1288_0,axiom,
    c_Expr_Oexp_Onew(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1288,def_lhs_atom59]) ).

cnf(c_0_1289_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1289,def_lhs_atom55]) ).

cnf(c_0_1290_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_1290,def_lhs_atom46]) ).

cnf(c_0_1291_0,axiom,
    c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_Othrow(X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1291,def_lhs_atom38]) ).

cnf(c_0_1292_0,axiom,
    c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1292,def_lhs_atom36]) ).

cnf(c_0_1293_0,axiom,
    c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1293,def_lhs_atom28]) ).

cnf(c_0_1294_0,axiom,
    c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_1294,def_lhs_atom8]) ).

cnf(c_0_1295_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_1295,def_lhs_atom5]) ).

cnf(c_0_1296_0,axiom,
    c_List_Olist__all2(c_TypeRel_Owiden(X2,X3),X1,X1,tc_Type_Oty,tc_Type_Oty),
    inference(unfold_definition,[status(thm)],[c_0_1296,def_lhs_atom267]) ).

cnf(c_0_1297_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X2,X3),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_1297,def_lhs_atom265]) ).

cnf(c_0_1298_0,axiom,
    c_Map_Omap__le(X1,X1,X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_1298,def_lhs_atom247]) ).

cnf(c_0_1299_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Type_Oty_ONT),c_Type_Oty_OClass(X2))),
    inference(unfold_definition,[status(thm)],[c_0_1299,def_lhs_atom239]) ).

cnf(c_0_1300_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1300,def_lhs_atom229]) ).

cnf(c_0_1301_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(unfold_definition,[status(thm)],[c_0_1301,def_lhs_atom228]) ).

cnf(c_0_1302_0,axiom,
    c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_Onew(X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_1302,def_lhs_atom194]) ).

cnf(c_0_1303_0,axiom,
    c_Expr_Oexp_Onew(X2,X3) != c_Expr_Oexp_OVal(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1303,def_lhs_atom190]) ).

cnf(c_0_1304_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_1304,def_lhs_atom183]) ).

cnf(c_0_1305_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_1305,def_lhs_atom178]) ).

cnf(c_0_1306_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,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_OVal(c_Value_Oval_ONull,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(X2),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_1306,def_lhs_atom168]) ).

cnf(c_0_1307_0,axiom,
    c_SmallStep_Oredp(X2,c_Expr_Oexp_OCast(X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1307,def_lhs_atom147]) ).

cnf(c_0_1308_0,axiom,
    c_Expr_Oexp_Othrow(X2,X3) != c_Expr_Oexp_OVal(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1308,def_lhs_atom135]) ).

cnf(c_0_1309_0,axiom,
    c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Othrow(X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_1309,def_lhs_atom108]) ).

cnf(c_0_1310_0,axiom,
    hBOOL(hAPP(hAPP(c_Conform_Oconf(X2,X1,X3),c_Value_Oval_ONull),c_Type_Oty_ONT)),
    inference(unfold_definition,[status(thm)],[c_0_1310,def_lhs_atom89]) ).

cnf(c_0_1311_0,axiom,
    c_Expr_Oexp_Othrow(X2,X3) != c_Expr_Oexp_Onew(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_1311,def_lhs_atom73]) ).

cnf(c_0_1312_0,axiom,
    c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_Othrow(X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_1312,def_lhs_atom71]) ).

cnf(c_0_1313_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_1313,def_lhs_atom58]) ).

cnf(c_0_1314_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_1314,def_lhs_atom57]) ).

cnf(c_0_1315_0,axiom,
    c_SmallStep_Oredp(X3,c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1),
    inference(unfold_definition,[status(thm)],[c_0_1315,def_lhs_atom7]) ).

cnf(c_0_1316_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X2),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_1316,def_lhs_atom270]) ).

cnf(c_0_1317_0,axiom,
    c_List_Olist__all2(c_fequal(X2),X1,X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_1317,def_lhs_atom257]) ).

cnf(c_0_1318_0,axiom,
    c_COMBI(X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_1318,def_lhs_atom243]) ).

cnf(c_0_1319_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_1319,def_lhs_atom93]) ).

cnf(c_0_1320_0,axiom,
    c_Type_Oty_OClass(X1) != c_Type_Oty_OBoolean,
    inference(unfold_definition,[status(thm)],[c_0_1320,def_lhs_atom253]) ).

cnf(c_0_1321_0,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OClass(X1),
    inference(unfold_definition,[status(thm)],[c_0_1321,def_lhs_atom245]) ).

cnf(c_0_1322_0,axiom,
    c_Objects_Ohext(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_1322,def_lhs_atom238]) ).

cnf(c_0_1323_0,axiom,
    c_Type_Oty_OClass(X1) != c_Type_Oty_ONT,
    inference(unfold_definition,[status(thm)],[c_0_1323,def_lhs_atom216]) ).

cnf(c_0_1324_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OClass(X1),
    inference(unfold_definition,[status(thm)],[c_0_1324,def_lhs_atom157]) ).

cnf(c_0_1325_0,axiom,
    c_Type_Ois__refT(c_Type_Oty_OClass(X1)),
    inference(unfold_definition,[status(thm)],[c_0_1325,def_lhs_atom136]) ).

cnf(c_0_1326_0,axiom,
    c_Objects_Otypeof__h(X1,c_Value_Oval_ONull) = c_Option_Ooption_OSome(c_Type_Oty_ONT,tc_Type_Oty),
    inference(unfold_definition,[status(thm)],[c_0_1326,def_lhs_atom99]) ).

cnf(c_0_1327_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OClass(X1),
    inference(unfold_definition,[status(thm)],[c_0_1327,def_lhs_atom82]) ).

cnf(c_0_1328_0,axiom,
    c_Objects_Otypeof__h(X1,c_Value_Oval_OUnit) = c_Option_Ooption_OSome(c_Type_Oty_OVoid,tc_Type_Oty),
    inference(unfold_definition,[status(thm)],[c_0_1328,def_lhs_atom78]) ).

cnf(c_0_1329_0,axiom,
    c_Type_Oty_OClass(X1) != c_Type_Oty_OVoid,
    inference(unfold_definition,[status(thm)],[c_0_1329,def_lhs_atom4]) ).

cnf(c_0_1330_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(unfold_definition,[status(thm)],[c_0_1330,def_lhs_atom269]) ).

cnf(c_0_1331_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    inference(unfold_definition,[status(thm)],[c_0_1331,def_lhs_atom268]) ).

cnf(c_0_1332_0,axiom,
    c_COMBI(v_P,t_a) = v_P,
    inference(unfold_definition,[status(thm)],[c_0_1332,def_lhs_atom266]) ).

cnf(c_0_1333_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_092_060_094isub_0622____),v_TF____)),
    inference(unfold_definition,[status(thm)],[c_0_1333,def_lhs_atom264]) ).

cnf(c_0_1334_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
    inference(unfold_definition,[status(thm)],[c_0_1334,def_lhs_atom263]) ).

cnf(c_0_1335_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
    inference(unfold_definition,[status(thm)],[c_0_1335,def_lhs_atom262]) ).

cnf(c_0_1336_0,axiom,
    c_TypeRel_Ohas__field(v_P,v_C____,v_F____,v_TF____,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    inference(unfold_definition,[status(thm)],[c_0_1336,def_lhs_atom261]) ).

cnf(c_0_1337_0,axiom,
    c_in(c_Pair(c_Pair(v_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,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_1337,def_lhs_atom255]) ).

cnf(c_0_1338_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_1338,def_lhs_atom254]) ).

cnf(c_0_1339_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),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_1339,def_lhs_atom250]) ).

cnf(c_0_1340_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
    inference(unfold_definition,[status(thm)],[c_0_1340,def_lhs_atom237]) ).

cnf(c_0_1341_0,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_ONT,
    inference(unfold_definition,[status(thm)],[c_0_1341,def_lhs_atom225]) ).

cnf(c_0_1342_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    inference(unfold_definition,[status(thm)],[c_0_1342,def_lhs_atom214]) ).

cnf(c_0_1343_0,axiom,
    c_Type_Ois__refT(c_Type_Oty_ONT),
    inference(unfold_definition,[status(thm)],[c_0_1343,def_lhs_atom131]) ).

cnf(c_0_1344_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_ONT,
    inference(unfold_definition,[status(thm)],[c_0_1344,def_lhs_atom130]) ).

cnf(c_0_1345_0,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
    inference(unfold_definition,[status(thm)],[c_0_1345,def_lhs_atom61]) ).

cnf(c_0_1346_0,axiom,
    c_Value_Oval_ONull != c_Value_Oval_OUnit,
    inference(unfold_definition,[status(thm)],[c_0_1346,def_lhs_atom54]) ).

cnf(c_0_1347_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OVoid,
    inference(unfold_definition,[status(thm)],[c_0_1347,def_lhs_atom48]) ).

cnf(c_0_1348_0,axiom,
    c_Value_Oval_OUnit != c_Value_Oval_ONull,
    inference(unfold_definition,[status(thm)],[c_0_1348,def_lhs_atom45]) ).

cnf(c_0_1349_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
    inference(unfold_definition,[status(thm)],[c_0_1349,def_lhs_atom6]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X10,X11,X12,X23,X18,X7,X15,X24] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X24,X15,X7,X18,X23,X12,X11,X10)),X18))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I5_J_2) ).

fof(c_0_1_002,axiom,
    ! [X10,X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X24,X15,X7,X18,X23,X12,X11,X10))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I5_J_0) ).

fof(c_0_2_003,axiom,
    ! [X19,X46,X47,X48,X11,X12,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X12,X75,X38,X11,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(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X12,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(X19,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(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)))))) ),
    file('<stdin>',cls_FAssRedsThrow2_0) ).

fof(c_0_3_004,axiom,
    ! [X50,X46,X47,X48,X11,X12,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X12,X72,X11,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(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X12,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(X50,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(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)))))) ),
    file('<stdin>',cls_BinOpRedsThrow2_0) ).

fof(c_0_4_005,axiom,
    ! [X50,X46,X47,X48,X86,X11,X12,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X12,X11,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(X86,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X11,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)))),c_Pair(X86,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X12,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(X50,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(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)))))) ),
    file('<stdin>',cls_SeqReds2_0) ).

fof(c_0_5_006,axiom,
    ! [X57,X85,X58,X17,X10,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X85,X58,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(X59,c_Pair(X17,c_Map_Omap__add(X85,X57,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(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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)))))) ),
    file('<stdin>',cls_Red__lcl__add_0) ).

fof(c_0_6_007,axiom,
    ! [X57,X85,X58,X17,X10,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X85,X58,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(X59,c_Pair(X17,c_Map_Omap__add(X85,X57,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(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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)))))) ),
    file('<stdin>',cls_red__lcl__add_0) ).

fof(c_0_7_008,axiom,
    ! [X19,X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_FAssReds2_0) ).

fof(c_0_8_009,axiom,
    ! [X70,X71,X59,X11,X13,X23,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_TryReds_0) ).

fof(c_0_9_010,axiom,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_FAssReds1_0) ).

fof(c_0_10_011,axiom,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_FAssRedsThrow1_0) ).

fof(c_0_11_012,axiom,
    ! [X19,X70,X71,X11,X13,X23,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_TryRedsVal_0) ).

fof(c_0_12_013,axiom,
    ! [X19,X70,X71,X59,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X72,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X72,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_BinOp2Reds_0) ).

fof(c_0_13_014,axiom,
    ! [X70,X71,X66,X59,X13,X7,X84] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X84,X66,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_CallRedsObj_0) ).

fof(c_0_14_015,axiom,
    ! [X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_FAccReds_0) ).

fof(c_0_15_016,axiom,
    ! [X70,X71,X59,X11,X12,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X12,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_CondReds_0) ).

fof(c_0_16_017,axiom,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X72,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_BinOp1Reds_0) ).

fof(c_0_17_018,axiom,
    ! [X47,X96,X66,X13,X37,X7,X84] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X96,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,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(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(X13,X96,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,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(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)))))) ),
    file('<stdin>',cls_CallRedsThrowObj_0) ).

fof(c_0_18_019,axiom,
    ! [X70,X71,X13,X37,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_FAccRedsThrow_0) ).

fof(c_0_19_020,axiom,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_BinOpRedsThrow1_0) ).

fof(c_0_20_021,axiom,
    ! [X70,X71,X11,X12,X13,X37,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_CondRedsThrow_0) ).

fof(c_0_21_022,axiom,
    ! [X70,X71,X59,X13,X23,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X23,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_LAssReds_0) ).

fof(c_0_22_023,axiom,
    ! [X70,X71,X59,X13,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X24,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_CastReds_0) ).

fof(c_0_23_024,axiom,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_SeqReds_0) ).

fof(c_0_24_025,axiom,
    ! [X70,X71,X13,X37,X23,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_LAssRedsThrow_0) ).

fof(c_0_25_026,axiom,
    ! [X70,X71,X13,X56,X42,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X13,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X42,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X13,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_WhileRedsThrow_0) ).

fof(c_0_26_027,axiom,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_SeqRedsThrow_0) ).

fof(c_0_27_028,axiom,
    ! [X70,X71,X13,X37,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_CastRedsThrow_0) ).

fof(c_0_28_029,axiom,
    ! [X70,X71,X13,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_CastRedsNull_0) ).

fof(c_0_29_030,axiom,
    ! [X70,X71,X13,X37,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_ThrowRedsThrow_0) ).

fof(c_0_30_031,axiom,
    ! [X70,X71,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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)))))) ),
    file('<stdin>',cls_ThrowReds_0) ).

fof(c_0_31_032,axiom,
    ! [X19,X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OFAssRed2_0) ).

fof(c_0_32_033,axiom,
    ! [X70,X71,X59,X11,X13,X23,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OTryRed_0) ).

fof(c_0_33_034,axiom,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OFAssRed1_0) ).

fof(c_0_34_035,axiom,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I2_J_3) ).

fof(c_0_35_036,axiom,
    ! [X50,X70,X71,X59,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X72,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X72,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OBinOpRed2_0) ).

fof(c_0_36_037,axiom,
    ! [X70,X71,X59,X11,X12,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X12,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OCondRed_0) ).

fof(c_0_37_038,axiom,
    ! [X70,X71,X66,X59,X13,X7,X84] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X84,X66,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OCallObj_0) ).

fof(c_0_38_039,axiom,
    ! [X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OFAccRed_0) ).

fof(c_0_39_040,axiom,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X72,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OBinOpRed1_0) ).

fof(c_0_40_041,axiom,
    ! [X70,X71,X59,X13,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X24,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OCastRed_0) ).

fof(c_0_41_042,axiom,
    ! [X70,X71,X59,X13,X23,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X23,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OLAssRed_0) ).

fof(c_0_42_043,axiom,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OSeqRed_0) ).

fof(c_0_43_044,axiom,
    ! [X70,X71,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__reds_OThrowRed_0) ).

fof(c_0_44_045,axiom,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X38,X15,X75,X7,X13,X10,X19)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_4) ).

fof(c_0_45_046,axiom,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( X18 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X38,X15,X75,X7,X13,X10,X19)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_3) ).

fof(c_0_46_047,axiom,
    ! [X57,X58,X17,X10,X59,X13,X18,X7,X15] :
      ( c_Conform_Olconf(X7,X17,X57,X15,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Olconf(X7,X10,X58,X15,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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)))))) ),
    file('<stdin>',cls_red__preserves__lconf_0) ).

fof(c_0_47_048,axiom,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I2_J_5) ).

fof(c_0_48_049,axiom,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I2_J_4) ).

fof(c_0_49_050,axiom,
    ! [X57,X58,X17,X10,X59,X13,X18,X7,X15] :
      ( c_Conform_Ohconf(X7,X17,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Ohconf(X7,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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)))))) ),
    file('<stdin>',cls_red__preserves__hconf_0) ).

fof(c_0_50_051,axiom,
    ! [X57,X58,X17,X10,X59,X13,X7] :
      ( c_Objects_Ohext(X10,X17)
      | ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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)))))) ),
    file('<stdin>',cls_red__hext__incr_0) ).

fof(c_0_51_052,axiom,
    ! [X70,X71,X59,X13,X18,X7,X15] :
      ( c_TypeSafe__Mirabelle_Osconf(X7,X15,X70)
      | ~ c_TypeSafe__Mirabelle_Osconf(X7,X15,X71)
      | ~ c_WellTypeRT_OWTrt(X7,c_State_Ohp(X71),X15,X13,X18)
      | ~ c_in(c_Pair(c_Pair(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ),
    file('<stdin>',cls_red__preserves__sconf_0) ).

fof(c_0_52_053,axiom,
    ! [X11,X12,X13,X18,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I2_J_3) ).

fof(c_0_53_054,axiom,
    ! [X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I2_J_4) ).

fof(c_0_54_055,axiom,
    ! [X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I2_J_5) ).

fof(c_0_55_056,axiom,
    ! [X10,X11,X12,X16,X18,X7,X75,X15,X38,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X18))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,c_Type_Oty_OClass(X24)) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I10_J_0) ).

fof(c_0_56_057,axiom,
    ! [X10,X11,X12,X16,X18,X7,X75,X15,X38,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X18))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_Type_Oty_OClass(X24)) ),
    file('<stdin>',cls_WTrtFAss_0) ).

fof(c_0_57_058,axiom,
    ! [X26,X27] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X27,v_P,X26,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X26))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X27,v_e_092_060_094isub_0622____,X26)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X27,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_58_059,axiom,
    ! [X18,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X18))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_FAssRed2_Ohyps_I2_J_1) ).

fof(c_0_59_060,axiom,
    ! [X18,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X18))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_FAssRed2_I2_J_1) ).

fof(c_0_60_061,axiom,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I2_J_2) ).

fof(c_0_61_062,axiom,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I2_J_1) ).

fof(c_0_62_063,axiom,
    ! [X10,X13,X18,X7,X75,X15,X38,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OClass(X24)) ),
    file('<stdin>',cls_WTrtFAcc_0) ).

fof(c_0_63_064,axiom,
    ! [X10,X13,X18,X7,X75,X15,X38,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OClass(X24)) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I8_J_0) ).

fof(c_0_64_065,axiom,
    ! [X10,X11,X12,X23,X16,X14,X7,X15,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X16))
      | ~ c_Progress_OWTrt_H(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I22_J_0) ).

fof(c_0_65_066,axiom,
    ! [X10,X11,X12,X23,X16,X14,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X16))
      | ~ c_WellTypeRT_OWTrt(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14) ),
    file('<stdin>',cls_WTrtTry_0) ).

fof(c_0_66_067,axiom,
    ! [X19,X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Conform_Osko__Conform__Xconf__def__1__1(X7,X18,X10,X19,X3)),X18))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    file('<stdin>',cls_conf__def_1) ).

fof(c_0_67_068,axiom,
    ! [X57,X58,X17,X10,X65,X66,X7] :
      ( c_Objects_Ohext(X10,X17)
      | ~ c_BigStep_Oevals(X7,X66,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X65,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_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_68_069,axiom,
    ! [X57,X58,X17,X10,X59,X13,X7] :
      ( c_Objects_Ohext(X10,X17)
      | ~ c_BigStep_Oeval(X7,X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_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_69_070,axiom,
    ! [X18,X15] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X15,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_FAssRed2_Ohyps_I2_J_0) ).

fof(c_0_70_071,axiom,
    ! [X18,X15] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X15,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_FAssRed2_I2_J_0) ).

fof(c_0_71_072,axiom,
    ! [X26,X27] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X27,v_e_092_060_094isub_0622_H____,v_sko__local__XIH__1(X27,v_P,X26,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X27,v_e_092_060_094isub_0622____,X26)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X27,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_72_073,axiom,
    ! [X19,X10,X11,X23,X16,X14,X18,X7,X15] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X14,tc_Type_Oty)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OBlock(X23,X18,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X23,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X11,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_Progress_OWTrt_H(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(X18,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X16)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X18)) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I16_J_0) ).

fof(c_0_73_074,axiom,
    ! [X9,X10,X11,X12,X13,X16,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X16))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X9))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I19_J_2) ).

fof(c_0_74_075,axiom,
    ! [X9,X10,X11,X12,X13,X14,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X9))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X14)) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I19_J_0) ).

fof(c_0_75_076,axiom,
    ! [X9,X10,X11,X12,X13,X16,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X16))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X9))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('<stdin>',cls_WTrtCond_2) ).

fof(c_0_76_077,axiom,
    ! [X9,X10,X11,X12,X13,X14,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X9))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X14)) ),
    file('<stdin>',cls_WTrtCond_0) ).

fof(c_0_77_078,axiom,
    ! [X10,X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I5_J_1) ).

fof(c_0_78_079,axiom,
    ! [X9,X10,X11,X12,X13,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X9))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I19_J_1) ).

fof(c_0_79_080,axiom,
    ! [X9,X10,X11,X12,X13,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X9))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('<stdin>',cls_WTrtCond_1) ).

fof(c_0_80_081,axiom,
    ! [X19,X70,X71,X59,X13,X7,X75,X38] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OFAssRed2_0) ).

fof(c_0_81_082,axiom,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAss(X59,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OFAssRed1_0) ).

fof(c_0_82_083,axiom,
    ! [X70,X71,X59,X11,X13,X23,X7,X24] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OTryCatch(X59,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OTryRed_0) ).

fof(c_0_83_084,axiom,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X18)
      | ~ c_WellType_OWT(X7,X15,X12,X18) ),
    file('<stdin>',cls_WTTry_0) ).

fof(c_0_84_085,axiom,
    ! [X19,X46,X47,X48,X59,X11,X12,X7,X75,X38] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X11,X47,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OFAssThrow2_0) ).

fof(c_0_85_086,axiom,
    ! [X10,X13,X23,X20,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OBlock(X23,X18,X13,tc_List_Olist(tc_String_Ochar)),X20)
      | ~ c_WellTypeRT_OWTrt(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(X18,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X13,X20) ),
    file('<stdin>',cls_WTrtBlock_0) ).

fof(c_0_86_087,axiom,
    ! [X10,X11,X12,X16,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrtFAssNT_0) ).

fof(c_0_87_088,axiom,
    ! [X10,X11,X12,X16,X7,X75,X15,X38] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).

fof(c_0_88_089,axiom,
    ! [X73,X80,X56,X42,X37,X43,X3] :
      ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X73,X37,X42,X3,X43),X56,X80,X3,X43) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X73,X56,X80,X3,X43),X37,X42,X3,X43)
      | X37 = X56 ),
    file('<stdin>',cls_fun__upd__twist_0) ).

fof(c_0_89_090,axiom,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellType_OWT(X7,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X18)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I5_J_1) ).

fof(c_0_90_091,axiom,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_ONT)
      | X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_1) ).

fof(c_0_91_092,axiom,
    ! [X71,X81,X41,X42,X36,X37,X43,X3] :
      ( c_in(c_Pair(X42,X41,X43,X43),X71,tc_prod(X43,X43))
      | c_in(c_Pair(X37,X36,X3,X3),X81,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X37,X42,X3,X43),c_Pair(X36,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43))) ),
    file('<stdin>',cls_in__lex__prod_1) ).

fof(c_0_92_093,axiom,
    ! [X44,X10,X45,X7,X3] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X7,X45,X10,X44,X3),X45,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X45,tc_Value_Oval,tc_Type_Oty) ),
    file('<stdin>',cls_confs__conv__map_1) ).

fof(c_0_93_094,axiom,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( X18 = c_Type_Oty_OVoid
      | X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_0) ).

fof(c_0_94_095,axiom,
    ! [X71,X81,X41,X42,X36,X37,X43,X3] :
      ( X37 = X36
      | c_in(c_Pair(X37,X36,X3,X3),X81,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X37,X42,X3,X43),c_Pair(X36,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43))) ),
    file('<stdin>',cls_in__lex__prod_0) ).

fof(c_0_95_096,axiom,
    ! [X50,X46,X47,X48,X11,X12,X13,X72,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X72,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X11,X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OBinOpThrow2_0) ).

fof(c_0_96_097,axiom,
    ! [X47,X48,X59,X11,X12,X7,X75,X38] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OFAssThrow1_0) ).

fof(c_0_97_098,axiom,
    ! [X50,X47,X48,X11,X12,X23,X7,X24] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_Try_0) ).

fof(c_0_98_099,axiom,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14) ),
    file('<stdin>',cls_WTrtBinOpEq_0) ).

fof(c_0_99_100,axiom,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I5_J_0) ).

fof(c_0_100_101,axiom,
    ! [X51,X52,X42,X37,X43,X3] :
      ( c_Map_Omap__le(c_Fun_Ofun__upd(X52,X37,X42,X3,tc_Option_Ooption(X43)),c_Fun_Ofun__upd(X51,X37,X42,X3,tc_Option_Ooption(X43)),X3,X43)
      | ~ c_Map_Omap__le(X52,X51,X3,X43) ),
    file('<stdin>',cls_map__le__upd_0) ).

fof(c_0_101_102,axiom,
    ! [X44,X10,X45,X5,X7,X3] :
      ( c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X45,tc_Value_Oval,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X5,X45,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X5,tc_Value_Oval,tc_Type_Oty) ),
    file('<stdin>',cls_confs__widens_0) ).

fof(c_0_102_103,axiom,
    ! [X19,X46,X47,X48,X11,X12,X49,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X49,X12,tc_List_Olist(tc_String_Ochar)),X48,X11,X46)
      | ~ c_BigStep_Oeval(X7,X12,X47,X11,X46)
      | ~ c_BigStep_Oeval(X7,X49,X48,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_Seq_0) ).

fof(c_0_103_104,axiom,
    ! [X70,X71,X59,X56,X42,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),X71,X59,X70)
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X42,c_Expr_Oexp_OSeq(X56,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    file('<stdin>',cls_unfold__while_1) ).

fof(c_0_104_105,axiom,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OSeq(X12,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).

fof(c_0_105_106,axiom,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OSeq(X12,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14) ),
    file('<stdin>',cls_WTrtSeq_0) ).

fof(c_0_106_107,axiom,
    ! [X10,X13,X56,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X56,X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean) ),
    file('<stdin>',cls_WTrtWhile_0) ).

fof(c_0_107_108,axiom,
    ! [X10,X13,X56,X18,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X56,X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I20_J_0) ).

fof(c_0_108_109,axiom,
    ! [X4,X5,X6,X7,X3] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X6,X4,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X5,X4,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X6,X5,tc_Type_Oty,tc_Type_Oty) ),
    file('<stdin>',cls_widens__trans_0) ).

fof(c_0_109_110,axiom,
    ! [X70,X71,X59,X56,X42,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X42,c_Expr_Oexp_OSeq(X56,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X71,X59,X70)
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    file('<stdin>',cls_unfold__while_0) ).

fof(c_0_110_111,axiom,
    ! [X63,X67,X53,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X53,X63,X3,X43)
      | ~ c_in(c_Pair(X9,X67,X3,X43),X22,tc_prod(X3,X43)) ),
    file('<stdin>',cls_rel__list__all2__Cons_2) ).

fof(c_0_111_112,axiom,
    ! [X53,X54,X55,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X55,X54,X43),X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X53,X54,X3,X43)
      | ~ c_in(c_Pair(X9,X55,X3,X43),X22,tc_prod(X3,X43)) ),
    file('<stdin>',cls_rel__list__all2__Cons1_3) ).

fof(c_0_112_113,axiom,
    ! [X63,X67,X55,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X55,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X55,X63,X3,X43)
      | ~ c_in(c_Pair(X9,X67,X3,X43),X22,tc_prod(X3,X43)) ),
    file('<stdin>',cls_rel__list__all2__Cons2_3) ).

fof(c_0_113_114,axiom,
    ! [X10,X13,X23,X20,X18,X7,X15] :
      ( hAPP(X15,X23) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X20),X18))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X20) ),
    file('<stdin>',cls_WTrtLAss_0) ).

fof(c_0_114_115,axiom,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,X12,X18)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I5_J_0) ).

fof(c_0_115_116,axiom,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I5_J_2) ).

fof(c_0_116_117,axiom,
    ! [X82,X67,X9,X83,X7,X43,X3] :
      ( c_in(c_Pair(c_Pair(X9,X82,X3,X43),c_Pair(X9,X67,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Recdef_Osame__fst(X7,X83,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43)))
      | ~ c_in(c_Pair(X82,X67,X43,X43),hAPP(X83,X9),tc_prod(X43,X43))
      | ~ hBOOL(hAPP(X7,X9)) ),
    file('<stdin>',cls_same__fstI_0) ).

fof(c_0_117_118,axiom,
    ! [X50,X70,X71,X59,X13,X72,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X72,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X72,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OBinOpRed2_0) ).

fof(c_0_118_119,axiom,
    ! [X19,X37,X18,X7,X75,X15,X38] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OFAss(X37,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I8_J_0) ).

fof(c_0_119_120,axiom,
    ! [X71,X81,X41,X42,X36,X37,X43,X3] :
      ( c_in(c_Pair(c_Pair(X37,X42,X3,X43),c_Pair(X36,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43)))
      | ~ c_in(c_Pair(X37,X36,X3,X3),X81,tc_prod(X3,X3)) ),
    file('<stdin>',cls_in__lex__prod_2) ).

fof(c_0_120_121,axiom,
    ! [X9,X71,X81,X41,X42,X43,X3] :
      ( c_in(c_Pair(c_Pair(X9,X42,X3,X43),c_Pair(X9,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43)))
      | ~ c_in(c_Pair(X42,X41,X43,X43),X71,tc_prod(X43,X43)) ),
    file('<stdin>',cls_in__lex__prod_3) ).

fof(c_0_121_122,axiom,
    ! [X70,X71,X59,X13,X7,X75,X38] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAcc(X59,X75,X38,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OFAccRed_0) ).

fof(c_0_122_123,axiom,
    ! [X70,X71,X66,X59,X13,X7,X84] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCall(X59,X84,X66,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OCallObj_0) ).

fof(c_0_123_124,axiom,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OBinOp(X59,X72,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OBinOpRed1_0) ).

fof(c_0_124_125,axiom,
    ! [X70,X71,X59,X11,X12,X13,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCond(X59,X12,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OCondRed_0) ).

fof(c_0_125_126,axiom,
    ! [X67,X9,X73,X42,X37,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X42,X3),X43,tc_Option_Ooption(X3)),X9) != c_Option_Ooption_OSome(X67,X3)
      | hAPP(X73,X9) = c_Option_Ooption_OSome(X67,X3)
      | X42 = X67 ),
    file('<stdin>',cls_map__upd__Some__unfold_2) ).

fof(c_0_126_127,axiom,
    ! [X67,X9,X73,X42,X37,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X42,X3),X43,tc_Option_Ooption(X3)),X9) != c_Option_Ooption_OSome(X67,X3)
      | hAPP(X73,X9) = c_Option_Ooption_OSome(X67,X3)
      | X9 = X37 ),
    file('<stdin>',cls_map__upd__Some__unfold_0) ).

fof(c_0_127_128,axiom,
    ! [X9,X11,X12,X13,X14,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X9))
      | ~ c_WellType_OWT(X7,X15,X11,X9)
      | ~ c_WellType_OWT(X7,X15,X12,X14)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X14)) ),
    file('<stdin>',cls_WTCond_0) ).

fof(c_0_128_129,axiom,
    ! [X9,X11,X12,X13,X16,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X16))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X9))
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X9)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('<stdin>',cls_WTCond_2) ).

fof(c_0_129_130,axiom,
    ! [X67,X9,X73,X42,X74,X3] :
      ( X42 = X67
      | hAPP(c_Fun_Ofun__upd(X73,X9,c_Option_Ooption_OSome(X42,X74),X3,tc_Option_Ooption(X74)),X9) != c_Option_Ooption_OSome(X67,X74) ),
    file('<stdin>',cls_map__upd__Some__unfold_1) ).

fof(c_0_130_131,axiom,
    ! [X67,X9,X87,X73,X37,X43,X3] :
      ( c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X9,X43),X3,tc_Option_Ooption(X43)) != c_Fun_Ofun__upd(X87,X37,c_Option_Ooption_OSome(X67,X43),X3,tc_Option_Ooption(X43))
      | X9 = X67 ),
    file('<stdin>',cls_map__upd__eqD1_0) ).

fof(c_0_131_132,axiom,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I2_J_0) ).

fof(c_0_132_133,axiom,
    ! [X11,X12,X13,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X11,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I2_J_2) ).

fof(c_0_133_134,axiom,
    ! [X11,X12,X13,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X12,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I2_J_1) ).

fof(c_0_134_135,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I8_J_0) ).

fof(c_0_135_136,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X79 = X78 ),
    file('<stdin>',cls_exp_Osimps_I8_J_1) ).

fof(c_0_136_137,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X77 = X76 ),
    file('<stdin>',cls_exp_Osimps_I8_J_2) ).

fof(c_0_137_138,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I8_J_3) ).

fof(c_0_138_139,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I15_J_3) ).

fof(c_0_139_140,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I15_J_2) ).

fof(c_0_140_141,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X31 = X30 ),
    file('<stdin>',cls_exp_Osimps_I15_J_1) ).

fof(c_0_141_142,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I15_J_0) ).

fof(c_0_142_143,axiom,
    ! [X63,X67,X53,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X53,X63,X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    file('<stdin>',cls_rel__list__all2__Cons_1) ).

fof(c_0_143_144,axiom,
    ! [X47,X48,X98,X59,X13,X7,X84] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCall(X13,X84,X98,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_CallObjThrow_0) ).

fof(c_0_144_145,axiom,
    ! [X47,X48,X59,X13,X7,X75,X38] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OFAccThrow_0) ).

fof(c_0_145_146,axiom,
    ! [X47,X48,X59,X11,X12,X13,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OCondThrow_0) ).

fof(c_0_146_147,axiom,
    ! [X47,X48,X11,X12,X13,X72,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X72,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OBinOpThrow1_0) ).

fof(c_0_147_148,axiom,
    ! [X53,X54,X55,X9,X7,X3] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_List_Olist_OCons(X9,X53,tc_Type_Oty),c_List_Olist_OCons(X55,X54,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X53,X54,tc_Type_Oty,tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X9),X55)) ),
    file('<stdin>',cls_widens__Cons_3) ).

fof(c_0_148_149,axiom,
    ! [X10,X13,X18,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrtFAccNT_0) ).

fof(c_0_149_150,axiom,
    ! [X10,X13,X18,X7,X75,X15,X38] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

fof(c_0_150_151,axiom,
    ! [X10,X13,X18,X7,X25,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X25,X13,X18)
      | ~ c_Map_Omap__le(X15,X25,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    file('<stdin>',cls_WTrt__env__mono_0) ).

fof(c_0_151_152,axiom,
    ! [X63,X67,X55,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X55,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(X7,X55,X63,X3,X43)
      | ~ hBOOL(hAPP(hAPP(X7,X9),X67)) ),
    file('<stdin>',cls_list__all2__Cons2_3) ).

fof(c_0_152_153,axiom,
    ! [X53,X54,X55,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X55,X54,X43),X3,X43)
      | ~ c_List_Olist__all2(X7,X53,X54,X3,X43)
      | ~ hBOOL(hAPP(hAPP(X7,X9),X55)) ),
    file('<stdin>',cls_list__all2__Cons1_3) ).

fof(c_0_153_154,axiom,
    ! [X63,X67,X53,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(X7,X53,X63,X3,X43)
      | ~ hBOOL(hAPP(hAPP(X7,X9),X67)) ),
    file('<stdin>',cls_list__all2__Cons_2) ).

fof(c_0_154_155,axiom,
    ! [X63,X67,X53,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,X53,X63,X3,X43)
      | ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    file('<stdin>',cls_list__all2__Cons_1) ).

fof(c_0_155_156,axiom,
    ! [X10,X13,X18,X7,X15,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Type_Ois__refT(X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,X18) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I2_J_0) ).

fof(c_0_156_157,axiom,
    ! [X10,X13,X18,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Type_Ois__refT(X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    file('<stdin>',cls_WTrtCast_0) ).

fof(c_0_157_158,axiom,
    ! [X44,X17,X10,X5,X7,X3] :
      ( c_List_Olist__all2(c_Conform_Oconf(X7,X17,X3),X44,X5,tc_Value_Oval,tc_Type_Oty)
      | ~ c_Objects_Ohext(X10,X17)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X5,tc_Value_Oval,tc_Type_Oty) ),
    file('<stdin>',cls_confs__hext_0) ).

fof(c_0_158_159,axiom,
    ! [X70,X71,X59,X13,X23,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OLAss(X23,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OLAssRed_0) ).

fof(c_0_159_160,axiom,
    ! [X70,X71,X59,X13,X7,X24] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCast(X24,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OCastRed_0) ).

fof(c_0_160_161,axiom,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OSeq(X59,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OSeqRed_0) ).

fof(c_0_161_162,axiom,
    ! [X47,X48,X59,X13,X23,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OLAssThrow_0) ).

fof(c_0_162_163,axiom,
    ! [X47,X48,X12,X49,X13,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X49,X12,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X49,X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OSeqThrow_0) ).

fof(c_0_163_164,axiom,
    ! [X47,X48,X59,X13,X56,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_WhileCondThrow_0) ).

fof(c_0_164_165,axiom,
    ! [X47,X48,X59,X13,X7,X24] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OCastThrow_0) ).

fof(c_0_165_166,axiom,
    ! [X47,X48,X13,X7,X24] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_CastNull_0) ).

fof(c_0_166_167,axiom,
    ! [X10,X13,X56,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I3_J_1) ).

fof(c_0_167_168,axiom,
    ! [X19,X10,X18,X7,X3] :
      ( c_Objects_Otypeof__h(X10,X19) = c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X7,X18,X10,X19,X3),tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    file('<stdin>',cls_conf__def_0) ).

fof(c_0_168_169,axiom,
    ! [X47,X48,X59,X13,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    file('<stdin>',cls_eval__evals_OThrowThrow_0) ).

fof(c_0_169_170,axiom,
    ! [X70,X71,X59,X13,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    file('<stdin>',cls_redp__redsp_OThrowRed_0) ).

fof(c_0_170_171,axiom,
    ! [X9,X11,X12,X13,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X9))
      | ~ c_WellType_OWT(X7,X15,X11,X9)
      | ~ c_WellType_OWT(X7,X15,X12,X9)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    file('<stdin>',cls_WTCond_1) ).

fof(c_0_171_172,axiom,
    ! [X10,X13,X93,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Type_Ois__refT(X93)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X93) ),
    file('<stdin>',cls_WTrtThrow_0) ).

fof(c_0_172_173,axiom,
    ! [X10,X13,X93,X18,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Type_Ois__refT(X93)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,X93) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I21_J_0) ).

fof(c_0_173_174,axiom,
    ! [X58,X17,X10,X7,X15,X3] :
      ( c_Conform_Olconf(X7,X17,X58,X15,X3)
      | ~ c_Objects_Ohext(X10,X17)
      | ~ c_Conform_Olconf(X7,X10,X58,X15,X3) ),
    file('<stdin>',cls_lconf__hext_0) ).

fof(c_0_174_175,axiom,
    ! [X17,X10,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X17,X15,X13,X18)
      | ~ c_Objects_Ohext(X10,X17)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    file('<stdin>',cls_WTrt__hext__mono_0) ).

fof(c_0_175_176,axiom,
    ! [X10,X13,X18,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,X13,X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    file('<stdin>',cls_wt__wt_H_0) ).

fof(c_0_176_177,axiom,
    ! [X10,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,X18) ),
    file('<stdin>',cls_wt_H__wt_0) ).

fof(c_0_177_178,axiom,
    ! [X8] :
      ( v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),v_T_092_060_094isub_0622____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X8) ),
    file('<stdin>',cls_that_0) ).

fof(c_0_178_179,axiom,
    ! [X63,X67,X53,X9,X22,X43,X3] :
      ( c_in(c_Pair(X9,X67,X3,X43),X22,tc_prod(X3,X43))
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    file('<stdin>',cls_rel__list__all2__Cons_0) ).

fof(c_0_179_180,axiom,
    ! [X11,X12,X16,X14,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X16))
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X14) ),
    file('<stdin>',cls_WTBinOpEq_0) ).

fof(c_0_180_181,axiom,
    ! [X11,X12,X16,X14,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X14))
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X14) ),
    file('<stdin>',cls_WTBinOpEq_1) ).

fof(c_0_181_182,axiom,
    ! [X10,X51,X52,X43,X3] :
      ( c_Map_Omap__le(c_Map_Omap__add(X52,X51,X3,X43),X10,X3,X43)
      | ~ c_Map_Omap__le(X52,c_Map_Omap__add(X52,X51,X3,X43),X3,X43)
      | ~ c_Map_Omap__le(X51,X10,X3,X43)
      | ~ c_Map_Omap__le(X52,X10,X3,X43) ),
    file('<stdin>',cls_map__add__le__mapI_0) ).

fof(c_0_182_183,axiom,
    ! [X67,X9,X73,X42,X37,X43,X3] :
      ( hAPP(X73,X9) != c_Option_Ooption_OSome(X67,X3)
      | X9 = X37
      | hAPP(c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X42,X3),X43,tc_Option_Ooption(X3)),X9) = c_Option_Ooption_OSome(X67,X3) ),
    file('<stdin>',cls_map__upd__Some__unfold_4) ).

fof(c_0_183_184,axiom,
    ! [X81,X56,X42,X37,X3] :
      ( c_in(c_Pair(X37,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X42,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X37,X42,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_rtrancl__trans_0) ).

fof(c_0_184_185,axiom,
    ! [X81,X56,X42,X37,X3] :
      ( c_in(c_Pair(X37,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X42,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X37,X42,X3,X3),X81,tc_prod(X3,X3)) ),
    file('<stdin>',cls_converse__rtrancl__into__rtrancl_0) ).

fof(c_0_185_186,axiom,
    ! [X81,X56,X42,X37,X3] :
      ( c_in(c_Pair(X37,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X42,X56,X3,X3),X81,tc_prod(X3,X3))
      | ~ c_in(c_Pair(X37,X42,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_rtrancl_Ortrancl__into__rtrancl_0) ).

fof(c_0_186_187,axiom,
    ! [X89,X67,X9,X52,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X52,X9,X67,X43,X3),X89) = hAPP(X52,X89)
      | X89 = X9 ),
    file('<stdin>',cls_fun__upd__apply_1) ).

fof(c_0_187_188,axiom,
    ! [X89,X67,X9,X52,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X52,X9,X67,X3,X43),X89) = hAPP(X52,X89)
      | X89 = X9 ),
    file('<stdin>',cls_fun__upd__other_0) ).

fof(c_0_188_189,axiom,
    ! [X63,X67,X53,X9,X7,X43,X3] :
      ( hBOOL(hAPP(hAPP(X7,X9),X67))
      | ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    file('<stdin>',cls_list__all2__Cons_0) ).

fof(c_0_189_190,axiom,
    ! [X10,X13,X18,X7,X15,X38] :
      ( c_Decl_Ois__class(X7,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I6_J_3) ).

fof(c_0_190_191,axiom,
    ! [X10,X13,X18,X7,X15,X38] :
      ( X18 = c_Type_Oty_OClass(X38)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I6_J_0) ).

fof(c_0_191_192,axiom,
    ! [X10,X18,X7,X15,X24] :
      ( c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I10_J_1) ).

fof(c_0_192_193,axiom,
    ! [X19,X10,X13,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OLAss(X19,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I1_J_0) ).

fof(c_0_193_194,axiom,
    ! [X10,X13,X56,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I3_J_0) ).

fof(c_0_194_195,axiom,
    ! [X10,X13,X23,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt_H__elim__cases_0) ).

fof(c_0_195_196,axiom,
    ! [X19,X70,X71,X59,X7] :
      ( X59 = c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar))
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    file('<stdin>',cls_eval__cases_I1_J_0) ).

fof(c_0_196_197,axiom,
    ! [X10,X18,X7,X15,X24] :
      ( X18 = c_Type_Oty_OClass(X24)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt__elim__cases_I10_J_0) ).

fof(c_0_197_198,axiom,
    ! [X19,X70,X71,X59,X7] :
      ( X70 = X71
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    file('<stdin>',cls_eval__cases_I1_J_1) ).

fof(c_0_198_199,axiom,
    ! [X67,X9,X52,X43,X3] :
      ( c_Fun_Ofun__upd(X52,X9,X67,X3,X43) != X52
      | hAPP(X52,X9) = X67 ),
    file('<stdin>',cls_fun__upd__idem__iff_0) ).

fof(c_0_199_200,axiom,
    ! [X63,X53,X3] :
      ( X53 = X63
      | ~ c_List_Olist__all2(c_fequal(X3),X53,X63,X3,X3) ),
    file('<stdin>',cls_list__all2__eq_1) ).

fof(c_0_200_201,axiom,
    ! [X51,X52,X43,X3] :
      ( c_Map_Omap__add(X52,X51,X3,X43) = c_Map_Omap__add(X51,X52,X3,X43)
      | ~ c_Map_Omap__le(X52,c_Map_Omap__add(X52,X51,X3,X43),X3,X43) ),
    file('<stdin>',cls_map__le__iff__map__add__commute_0) ).

fof(c_0_201_202,axiom,
    ! [X19,X10,X20,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X20))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X18),X20))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    file('<stdin>',cls_conf__widen_0) ).

fof(c_0_202_203,axiom,
    ! [X10,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_WellType_OWT(X7,X15,X13,X18) ),
    file('<stdin>',cls_WT__implies__WTrt_0) ).

fof(c_0_203_204,axiom,
    ! [X51,X52,X43,X3] :
      ( c_Map_Omap__add(X52,X51,X3,X43) != c_Map_Omap__add(X51,X52,X3,X43)
      | c_Map_Omap__le(X52,c_Map_Omap__add(X52,X51,X3,X43),X3,X43) ),
    file('<stdin>',cls_map__le__iff__map__add__commute_1) ).

fof(c_0_204_205,axiom,
    ! [X10,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('<stdin>',cls_WTrtNew_0) ).

fof(c_0_205_206,axiom,
    ! [X10,X7,X15,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I1_J_0) ).

fof(c_0_206_207,axiom,
    ! [X11,X12,X13,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I2_J_0) ).

fof(c_0_207_208,axiom,
    ! [X10,X51,X52,X43,X3] :
      ( c_Map_Omap__le(X51,X10,X3,X43)
      | ~ c_Map_Omap__le(c_Map_Omap__add(X52,X51,X3,X43),X10,X3,X43) ),
    file('<stdin>',cls_map__add__le__mapE_0) ).

fof(c_0_208_209,axiom,
    ! [X19,X17,X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X17,X3),X19),X18))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18))
      | ~ c_Objects_Ohext(X10,X17) ),
    file('<stdin>',cls_conf__hext_0) ).

fof(c_0_209_210,axiom,
    ! [X9,X90,X91,X43,X3] :
      ( hAPP(X90,X91) != c_Option_Ooption_OSome(X9,X3)
      | c_Fun_Ofun__upd(X90,X91,c_Option_Ooption_OSome(X9,X3),X43,tc_Option_Ooption(X3)) = X90 ),
    file('<stdin>',cls_map__upd__triv_0) ).

fof(c_0_210_211,axiom,
    ! [X19,X10,X18,X7,X15] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrtVal_0) ).

fof(c_0_211_212,axiom,
    ! [X19,X10,X18,X7,X15] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I3_J_0) ).

fof(c_0_212_213,axiom,
    ! [X11,X12,X16,X14,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OSeq(X12,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X14) ),
    file('<stdin>',cls_WTSeq_0) ).

fof(c_0_213_214,axiom,
    ! [X13,X56,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X7,X15,X56,X18)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean) ),
    file('<stdin>',cls_WTWhile_0) ).

fof(c_0_214_215,axiom,
    ! [X13,X18,X7,X25,X15] :
      ( c_WellType_OWT(X7,X25,X13,X18)
      | ~ c_Map_Omap__le(X15,X25,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellType_OWT(X7,X15,X13,X18) ),
    file('<stdin>',cls_wt__env__mono_0) ).

fof(c_0_215_216,axiom,
    ! [X60,X61,X62,X43,X3] :
      ( c_Map_Omap__le(X62,X60,X3,X43)
      | ~ c_Map_Omap__le(X61,X60,X3,X43)
      | ~ c_Map_Omap__le(X62,X61,X3,X43) ),
    file('<stdin>',cls_map__le__trans_0) ).

fof(c_0_216_217,axiom,
    ! [X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Type_Oty_ONT),X18))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),c_Value_Oval_ONull),X18)) ),
    file('<stdin>',cls_conf__Null_0) ).

fof(c_0_217_218,axiom,
    ! [X9,X87,X73,X91,X43,X3] :
      ( hAPP(c_Map_Omap__add(X73,X87,X43,X3),X91) != c_Option_Ooption_OSome(X9,X3)
      | hAPP(X73,X91) = c_Option_Ooption_OSome(X9,X3)
      | hAPP(X87,X91) = c_Option_Ooption_OSome(X9,X3) ),
    file('<stdin>',cls_map__add__SomeD_1) ).

fof(c_0_218_219,axiom,
    ! [X9,X19,X10,X18,X7,X3] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X9,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X9),X18)) ),
    file('<stdin>',cls_conf__def_2) ).

fof(c_0_219_220,axiom,
    ! [X13,X56,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I3_J_1) ).

fof(c_0_220_221,axiom,
    ! [X19,X10,X7,X3] :
      ( X19 = c_Value_Oval_ONull
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),c_Type_Oty_ONT)) ),
    file('<stdin>',cls_conf__NT_0) ).

fof(c_0_221_222,axiom,
    ! [X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),c_Value_Oval_ONull),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Type_Oty_ONT),X18)) ),
    file('<stdin>',cls_conf__Null_1) ).

fof(c_0_222_223,axiom,
    ! [X51,X52,X43,X3] :
      ( X52 = X51
      | ~ c_Map_Omap__le(X51,X52,X3,X43)
      | ~ c_Map_Omap__le(X52,X51,X3,X43) ),
    file('<stdin>',cls_map__le__antisym_0) ).

fof(c_0_223_224,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OFAcc(X69,X79,X77,X3) != c_Expr_Oexp_OFAcc(X68,X78,X76,X3)
      | X77 = X76 ),
    file('<stdin>',cls_exp_Osimps_I7_J_2) ).

fof(c_0_224_225,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OFAcc(X69,X79,X77,X3) != c_Expr_Oexp_OFAcc(X68,X78,X76,X3)
      | X79 = X78 ),
    file('<stdin>',cls_exp_Osimps_I7_J_1) ).

fof(c_0_225_226,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OFAcc(X69,X79,X77,X3) != c_Expr_Oexp_OFAcc(X68,X78,X76,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I7_J_0) ).

fof(c_0_226_227,axiom,
    ! [X94,X95,X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OBlock(X37,X95,X69,X3) != c_Expr_Oexp_OBlock(X36,X94,X68,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I10_J_2) ).

fof(c_0_227_228,axiom,
    ! [X94,X95,X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OBlock(X37,X95,X69,X3) != c_Expr_Oexp_OBlock(X36,X94,X68,X3)
      | X95 = X94 ),
    file('<stdin>',cls_exp_Osimps_I10_J_1) ).

fof(c_0_228_229,axiom,
    ! [X94,X95,X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OBlock(X37,X95,X69,X3) != c_Expr_Oexp_OBlock(X36,X94,X68,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I10_J_0) ).

fof(c_0_229_230,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OCall(X69,X79,X77,X3) != c_Expr_Oexp_OCall(X68,X78,X76,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I9_J_0) ).

fof(c_0_230_231,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OCall(X69,X79,X77,X3) != c_Expr_Oexp_OCall(X68,X78,X76,X3)
      | X79 = X78 ),
    file('<stdin>',cls_exp_Osimps_I9_J_1) ).

fof(c_0_231_232,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OCall(X69,X79,X77,X3) != c_Expr_Oexp_OCall(X68,X78,X76,X3)
      | X77 = X76 ),
    file('<stdin>',cls_exp_Osimps_I9_J_2) ).

fof(c_0_232_233,axiom,
    ! [X32,X33,X34,X35,X88,X72,X3] :
      ( c_Expr_Oexp_OBinOp(X35,X72,X33,X3) != c_Expr_Oexp_OBinOp(X34,X88,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I4_J_2) ).

fof(c_0_233_234,axiom,
    ! [X32,X33,X34,X35,X88,X72,X3] :
      ( c_Expr_Oexp_OBinOp(X35,X72,X33,X3) != c_Expr_Oexp_OBinOp(X34,X88,X32,X3)
      | X72 = X88 ),
    file('<stdin>',cls_exp_Osimps_I4_J_1) ).

fof(c_0_234_235,axiom,
    ! [X32,X33,X34,X35,X88,X72,X3] :
      ( c_Expr_Oexp_OBinOp(X35,X72,X33,X3) != c_Expr_Oexp_OBinOp(X34,X88,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I4_J_0) ).

fof(c_0_235_236,axiom,
    ! [X41,X42,X36,X37,X43,X3] :
      ( c_Pair(X37,X42,X3,X43) != c_Pair(X36,X41,X3,X43)
      | X37 = X36 ),
    file('<stdin>',cls_Pair__eq_0) ).

fof(c_0_236_237,axiom,
    ! [X41,X42,X36,X37,X43,X3] :
      ( c_Pair(X37,X42,X3,X43) != c_Pair(X36,X41,X3,X43)
      | X42 = X41 ),
    file('<stdin>',cls_Pair__eq_1) ).

fof(c_0_237_238,axiom,
    ! [X39,X40,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OCond(X35,X33,X40,X3) != c_Expr_Oexp_OCond(X34,X32,X39,X3)
      | X40 = X39 ),
    file('<stdin>',cls_exp_Osimps_I12_J_2) ).

fof(c_0_238_239,axiom,
    ! [X39,X40,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OCond(X35,X33,X40,X3) != c_Expr_Oexp_OCond(X34,X32,X39,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I12_J_1) ).

fof(c_0_239_240,axiom,
    ! [X39,X40,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OCond(X35,X33,X40,X3) != c_Expr_Oexp_OCond(X34,X32,X39,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I12_J_0) ).

fof(c_0_240_241,axiom,
    ! [X21,X18,X22,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X22),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X21),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X22),X21)) ),
    file('<stdin>',cls_widen__trans_0) ).

fof(c_0_241_242,axiom,
    ! [X13,X18,X7,X15,X38] :
      ( c_Decl_Ois__class(X7,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I6_J_2) ).

fof(c_0_242_243,axiom,
    ! [X13,X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OClass(X24)) ),
    file('<stdin>',cls_WTThrow_0) ).

fof(c_0_243_244,axiom,
    ! [X13,X18,X7,X15,X38] :
      ( X18 = c_Type_Oty_OClass(X38)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I6_J_0) ).

fof(c_0_244_245,axiom,
    ! [X18,X7,X15,X24] :
      ( c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I10_J_1) ).

fof(c_0_245_246,axiom,
    ! [X13,X23,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I1_J_0) ).

fof(c_0_246_247,axiom,
    ! [X13,X56,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I3_J_0) ).

fof(c_0_247_248,axiom,
    ! [X92,X87,X73,X91,X43,X3] :
      ( hAPP(X87,X91) != c_Option_Ooption_OSome(X92,X3)
      | hAPP(c_Map_Omap__add(X73,X87,X43,X3),X91) = c_Option_Ooption_OSome(X92,X3) ),
    file('<stdin>',cls_map__add__find__right_0) ).

fof(c_0_248_249,axiom,
    ! [X9,X87,X73,X91,X43,X3] :
      ( hAPP(X87,X91) != c_Option_Ooption_OSome(X9,X3)
      | hAPP(c_Map_Omap__add(X73,X87,X43,X3),X91) = c_Option_Ooption_OSome(X9,X3) ),
    file('<stdin>',cls_map__add__Some__iff_2) ).

fof(c_0_249_250,axiom,
    ! [X19,X10,X18,X7,X3] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    file('<stdin>',cls_typeof__conf_0) ).

fof(c_0_250_251,axiom,
    ! [X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('<stdin>',cls_WTNew_0) ).

fof(c_0_251_252,axiom,
    ! [X18,X7,X15,X24] :
      ( X18 = c_Type_Oty_OClass(X24)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I10_J_0) ).

fof(c_0_252_253,axiom,
    ! [X13,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    file('<stdin>',cls_WT__elim__cases_I4_J_0) ).

fof(c_0_253_254,axiom,
    ! [X18,X7,X24,X3] :
      ( X18 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Type_Oty_OClass(X24)),X18)) ),
    file('<stdin>',cls_Class__widen_0) ).

fof(c_0_254_255,axiom,
    ! [X81,X97,X3] :
      ( c_in(X97,c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(X97,X81,tc_prod(X3,X3)) ),
    file('<stdin>',cls_r__into__rtrancl_0) ).

fof(c_0_255_256,axiom,
    ! [X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OLAss(X37,X69,X3) != c_Expr_Oexp_OLAss(X36,X68,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I6_J_1) ).

fof(c_0_256_257,axiom,
    ! [X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OLAss(X37,X69,X3) != c_Expr_Oexp_OLAss(X36,X68,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I6_J_0) ).

fof(c_0_257_258,axiom,
    ! [X30,X31,X36,X37,X3] :
      ( c_List_Olist_OCons(X37,X31,X3) != c_List_Olist_OCons(X36,X30,X3)
      | X37 = X36 ),
    file('<stdin>',cls_list_Oinject_0) ).

fof(c_0_258_259,axiom,
    ! [X30,X31,X36,X37,X3] :
      ( c_List_Olist_OCons(X37,X31,X3) != c_List_Olist_OCons(X36,X30,X3)
      | X31 = X30 ),
    file('<stdin>',cls_list_Oinject_1) ).

fof(c_0_259_260,axiom,
    ! [X30,X31,X68,X69,X3] :
      ( c_Expr_Oexp_OCast(X31,X69,X3) != c_Expr_Oexp_OCast(X30,X68,X3)
      | X31 = X30 ),
    file('<stdin>',cls_exp_Osimps_I2_J_0) ).

fof(c_0_260_261,axiom,
    ! [X30,X31,X68,X69,X3] :
      ( c_Expr_Oexp_OCast(X31,X69,X3) != c_Expr_Oexp_OCast(X30,X68,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I2_J_1) ).

fof(c_0_261_262,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OWhile(X35,X33,X3) != c_Expr_Oexp_OWhile(X34,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I13_J_0) ).

fof(c_0_262_263,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OWhile(X35,X33,X3) != c_Expr_Oexp_OWhile(X34,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I13_J_1) ).

fof(c_0_263_264,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OSeq(X35,X33,X3) != c_Expr_Oexp_OSeq(X34,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I11_J_1) ).

fof(c_0_264_265,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OSeq(X35,X33,X3) != c_Expr_Oexp_OSeq(X34,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I11_J_0) ).

fof(c_0_265_266,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_266_267,axiom,
    ! [X9,X22,X3] :
      ( hBOOL(hAPP(X22,X9))
      | ~ c_in(X9,X22,X3) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_267_268,axiom,
    ! [X9,X22,X3] :
      ( c_in(X9,X22,X3)
      | ~ hBOOL(hAPP(X22,X9)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_268_269,axiom,
    ! [X19,X17,X10,X18] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | ~ c_Objects_Ohext(X10,X17)
      | c_Objects_Otypeof__h(X17,X19) = c_Option_Ooption_OSome(X18,tc_Type_Oty) ),
    file('<stdin>',cls_hext__typeof__mono_0) ).

fof(c_0_269_270,axiom,
    ! [X64,X17,X10] :
      ( c_Objects_Ohext(X10,X64)
      | ~ c_Objects_Ohext(X17,X64)
      | ~ c_Objects_Ohext(X10,X17) ),
    file('<stdin>',cls_hext__trans_0) ).

fof(c_0_270_271,axiom,
    ! [X68,X69,X3] :
      ( c_Expr_Oexp_Othrow(X69,X3) != c_Expr_Oexp_Othrow(X68,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I14_J_0) ).

fof(c_0_271_272,axiom,
    ! [X36,X37,X3] :
      ( c_Option_Ooption_OSome(X37,X3) != c_Option_Ooption_OSome(X36,X3)
      | X37 = X36 ),
    file('<stdin>',cls_option_Oinject_0) ).

fof(c_0_272_273,axiom,
    ! [X30,X31,X3] :
      ( c_Expr_Oexp_Onew(X31,X3) != c_Expr_Oexp_Onew(X30,X3)
      | X31 = X30 ),
    file('<stdin>',cls_exp_Osimps_I1_J_0) ).

fof(c_0_273_274,axiom,
    ! [X28,X29,X3] :
      ( c_Expr_Oexp_OVal(X29,X3) != c_Expr_Oexp_OVal(X28,X3)
      | X29 = X28 ),
    file('<stdin>',cls_exp_Osimps_I3_J_0) ).

fof(c_0_274_275,axiom,
    ! [X30,X31] :
      ( c_Type_Oty_OClass(X31) != c_Type_Oty_OClass(X30)
      | X31 = X30 ),
    file('<stdin>',cls_ty_Oinject_0) ).

fof(c_0_275_276,plain,
    ! [X10,X11,X12,X23,X18,X7,X15,X24] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X24,X15,X7,X18,X23,X12,X11,X10)),X18))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_276_277,plain,
    ! [X10,X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X24,X15,X7,X18,X23,X12,X11,X10))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_277_278,plain,
    ! [X19,X46,X47,X48,X11,X12,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X12,X75,X38,X11,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(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X12,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(X19,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(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(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_278_279,plain,
    ! [X50,X46,X47,X48,X11,X12,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X12,X72,X11,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(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X12,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(X50,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(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(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_279_280,plain,
    ! [X50,X46,X47,X48,X86,X11,X12,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X12,X11,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(X86,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X11,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)))),c_Pair(X86,X46,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X12,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(X50,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(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(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_280_281,plain,
    ! [X57,X85,X58,X17,X10,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X85,X58,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(X59,c_Pair(X17,c_Map_Omap__add(X85,X57,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(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_281_282,plain,
    ! [X57,X85,X58,X17,X10,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X85,X58,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(X59,c_Pair(X17,c_Map_Omap__add(X85,X57,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(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_282_283,plain,
    ! [X19,X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_283_284,plain,
    ! [X70,X71,X59,X11,X13,X23,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_284_285,plain,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_285_286,plain,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_286_287,plain,
    ! [X19,X70,X71,X11,X13,X23,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_287_288,plain,
    ! [X19,X70,X71,X59,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X72,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X72,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_288_289,plain,
    ! [X70,X71,X66,X59,X13,X7,X84] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X84,X66,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_289_290,plain,
    ! [X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_290_291,plain,
    ! [X70,X71,X59,X11,X12,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X12,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_291_292,plain,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X72,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_292_293,plain,
    ! [X47,X96,X66,X13,X37,X7,X84] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X96,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,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(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(X13,X96,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,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(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(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_293_294,plain,
    ! [X70,X71,X13,X37,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_294_295,plain,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_295_296,plain,
    ! [X70,X71,X11,X12,X13,X37,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_296_297,plain,
    ! [X70,X71,X59,X13,X23,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X23,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_297_298,plain,
    ! [X70,X71,X59,X13,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X24,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_298_299,plain,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_299_300,plain,
    ! [X70,X71,X13,X37,X23,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_300_301,plain,
    ! [X70,X71,X13,X56,X42,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X13,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X42,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X13,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_301_302,plain,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_302_303,plain,
    ! [X70,X71,X13,X37,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_303_304,plain,
    ! [X70,X71,X13,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_304_305,plain,
    ! [X70,X71,X13,X37,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X37,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_305_306,plain,
    ! [X70,X71,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_306_307,plain,
    ! [X19,X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_307_308,plain,
    ! [X70,X71,X59,X11,X13,X23,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_308_309,plain,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_309_310,plain,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_310_311,plain,
    ! [X50,X70,X71,X59,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X72,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X72,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_311_312,plain,
    ! [X70,X71,X59,X11,X12,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X12,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_312_313,plain,
    ! [X70,X71,X66,X59,X13,X7,X84] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X84,X66,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_313_314,plain,
    ! [X70,X71,X59,X13,X7,X75,X38] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X75,X38,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_314_315,plain,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X72,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_315_316,plain,
    ! [X70,X71,X59,X13,X7,X24] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X24,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_316_317,plain,
    ! [X70,X71,X59,X13,X23,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X23,X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_317_318,plain,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,X11,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_318_319,plain,
    ! [X70,X71,X59,X13,X7] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X59,tc_List_Olist(tc_String_Ochar)),X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_319_320,plain,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X38,X15,X75,X7,X13,X10,X19)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_320_321,plain,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( X18 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X38,X15,X75,X7,X13,X10,X19)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_321_322,plain,
    ! [X57,X58,X17,X10,X59,X13,X18,X7,X15] :
      ( c_Conform_Olconf(X7,X17,X57,X15,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Olconf(X7,X10,X58,X15,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_322_323,plain,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_323_324,plain,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10)))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_324_325,plain,
    ! [X57,X58,X17,X10,X59,X13,X18,X7,X15] :
      ( c_Conform_Ohconf(X7,X17,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Ohconf(X7,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_325_326,plain,
    ! [X57,X58,X17,X10,X59,X13,X7] :
      ( c_Objects_Ohext(X10,X17)
      | ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_326_327,plain,
    ! [X70,X71,X59,X13,X18,X7,X15] :
      ( c_TypeSafe__Mirabelle_Osconf(X7,X15,X70)
      | ~ c_TypeSafe__Mirabelle_Osconf(X7,X15,X71)
      | ~ c_WellTypeRT_OWTrt(X7,c_State_Ohp(X71),X15,X13,X18)
      | ~ c_in(c_Pair(c_Pair(X13,X71,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X70,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_327_328,plain,
    ! [X11,X12,X13,X18,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_328_329,plain,
    ! [X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_329_330,plain,
    ! [X11,X12,X13,X18,X7,X15] :
      ( X18 = c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11)))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_330_331,plain,
    ! [X10,X11,X12,X16,X18,X7,X75,X15,X38,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X18))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,c_Type_Oty_OClass(X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_331_332,plain,
    ! [X10,X11,X12,X16,X18,X7,X75,X15,X38,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X18))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_Type_Oty_OClass(X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_332_333,plain,
    ! [X26,X27] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X27,v_P,X26,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X26))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X27,v_e_092_060_094isub_0622____,X26)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X27,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_57]) ).

fof(c_0_333_334,plain,
    ! [X18,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X18))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_58]) ).

fof(c_0_334_335,plain,
    ! [X18,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X18))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_59]) ).

fof(c_0_335_336,plain,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X15,X7,X18,X12,X11,X10))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_336_337,plain,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X15,X7,X18,X12,X11,X10))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_337_338,plain,
    ! [X10,X13,X18,X7,X75,X15,X38,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OClass(X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_338_339,plain,
    ! [X10,X13,X18,X7,X75,X15,X38,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_TypeRel_Ohas__field(X7,X24,X75,X18,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OClass(X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_339_340,plain,
    ! [X10,X11,X12,X23,X16,X14,X7,X15,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X16))
      | ~ c_Progress_OWTrt_H(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_340_341,plain,
    ! [X10,X11,X12,X23,X16,X14,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X16))
      | ~ c_WellTypeRT_OWTrt(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_341_342,plain,
    ! [X19,X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Conform_Osko__Conform__Xconf__def__1__1(X7,X18,X10,X19,X3)),X18))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_342_343,plain,
    ! [X57,X58,X17,X10,X65,X66,X7] :
      ( c_Objects_Ohext(X10,X17)
      | ~ c_BigStep_Oevals(X7,X66,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X65,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_67]) ).

fof(c_0_343_344,plain,
    ! [X57,X58,X17,X10,X59,X13,X7] :
      ( c_Objects_Ohext(X10,X17)
      | ~ c_BigStep_Oeval(X7,X13,c_Pair(X10,X58,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X59,c_Pair(X17,X57,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_68]) ).

fof(c_0_344_345,plain,
    ! [X18,X15] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X15,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_69]) ).

fof(c_0_345_346,plain,
    ! [X18,X15] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X15,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X15,v_P,X18,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X15,v_e_092_060_094isub_0622____,X18)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X15,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_70]) ).

fof(c_0_346_347,plain,
    ! [X26,X27] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X27,v_e_092_060_094isub_0622_H____,v_sko__local__XIH__1(X27,v_P,X26,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X27,v_e_092_060_094isub_0622____,X26)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X27,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_71]) ).

fof(c_0_347_348,plain,
    ! [X19,X10,X11,X23,X16,X14,X18,X7,X15] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X14,tc_Type_Oty)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OBlock(X23,X18,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X23,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X11,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_Progress_OWTrt_H(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(X18,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X16)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_348_349,plain,
    ! [X9,X10,X11,X12,X13,X16,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X16))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X9))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_349_350,plain,
    ! [X9,X10,X11,X12,X13,X14,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X9))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_350_351,plain,
    ! [X9,X10,X11,X12,X13,X16,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X16))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X9))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_351_352,plain,
    ! [X9,X10,X11,X12,X13,X14,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X9))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_352_353,plain,
    ! [X10,X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_353_354,plain,
    ! [X9,X10,X11,X12,X13,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X9))
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X9)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_354_355,plain,
    ! [X9,X10,X11,X12,X13,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X9))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X9)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_355_356,plain,
    ! [X19,X70,X71,X59,X13,X7,X75,X38] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X75,X38,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_356_357,plain,
    ! [X70,X71,X59,X11,X13,X7,X75,X38] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(X13,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAss(X59,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_357_358,plain,
    ! [X70,X71,X59,X11,X13,X23,X7,X24] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OTryCatch(X59,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_358_359,plain,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X18)
      | ~ c_WellType_OWT(X7,X15,X12,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_359_360,plain,
    ! [X19,X46,X47,X48,X59,X11,X12,X7,X75,X38] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X11,X47,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_360_361,plain,
    ! [X10,X13,X23,X20,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OBlock(X23,X18,X13,tc_List_Olist(tc_String_Ochar)),X20)
      | ~ c_WellTypeRT_OWTrt(X7,X10,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(X18,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X13,X20) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_361_362,plain,
    ! [X10,X11,X12,X16,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_362_363,plain,
    ! [X10,X11,X12,X16,X7,X75,X15,X38] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_363_364,axiom,
    ! [X73,X80,X56,X42,X37,X43,X3] :
      ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X73,X37,X42,X3,X43),X56,X80,X3,X43) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X73,X56,X80,X3,X43),X37,X42,X3,X43)
      | X37 = X56 ),
    c_0_88 ).

fof(c_0_364_365,plain,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellType_OWT(X7,c_Fun_Ofun__upd(X15,X23,c_Option_Ooption_OSome(c_Type_Oty_OClass(X24),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X11,X18)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_365_366,plain,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_ONT)
      | X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_366_367,plain,
    ! [X71,X81,X41,X42,X36,X37,X43,X3] :
      ( c_in(c_Pair(X42,X41,X43,X43),X71,tc_prod(X43,X43))
      | c_in(c_Pair(X37,X36,X3,X3),X81,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X37,X42,X3,X43),c_Pair(X36,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43))) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_367_368,plain,
    ! [X44,X10,X45,X7,X3] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X7,X45,X10,X44,X3),X45,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X45,tc_Value_Oval,tc_Type_Oty) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_368_369,plain,
    ! [X19,X10,X13,X18,X7,X75,X15,X38] :
      ( X18 = c_Type_Oty_OVoid
      | X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_369_370,plain,
    ! [X71,X81,X41,X42,X36,X37,X43,X3] :
      ( X37 = X36
      | c_in(c_Pair(X37,X36,X3,X3),X81,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X37,X42,X3,X43),c_Pair(X36,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43))) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_370_371,plain,
    ! [X50,X46,X47,X48,X11,X12,X13,X72,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X72,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X11,X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_371_372,plain,
    ! [X47,X48,X59,X11,X12,X7,X75,X38] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X75,X38,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_372_373,plain,
    ! [X50,X47,X48,X11,X12,X23,X7,X24] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_373_374,plain,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_374_375,plain,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_375_376,plain,
    ! [X51,X52,X42,X37,X43,X3] :
      ( c_Map_Omap__le(c_Fun_Ofun__upd(X52,X37,X42,X3,tc_Option_Ooption(X43)),c_Fun_Ofun__upd(X51,X37,X42,X3,tc_Option_Ooption(X43)),X3,X43)
      | ~ c_Map_Omap__le(X52,X51,X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_376_377,plain,
    ! [X44,X10,X45,X5,X7,X3] :
      ( c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X45,tc_Value_Oval,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X5,X45,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X5,tc_Value_Oval,tc_Type_Oty) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_377_378,plain,
    ! [X19,X46,X47,X48,X11,X12,X49,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X49,X12,tc_List_Olist(tc_String_Ochar)),X48,X11,X46)
      | ~ c_BigStep_Oeval(X7,X12,X47,X11,X46)
      | ~ c_BigStep_Oeval(X7,X49,X48,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_378_379,plain,
    ! [X70,X71,X59,X56,X42,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),X71,X59,X70)
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X42,c_Expr_Oexp_OSeq(X56,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_379_380,plain,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OSeq(X12,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X11,X16)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_380_381,plain,
    ! [X10,X11,X12,X16,X14,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OSeq(X12,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X11,X16)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_381_382,plain,
    ! [X10,X13,X56,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X56,X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_382_383,plain,
    ! [X10,X13,X56,X18,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X56,X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_OBoolean) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_383_384,plain,
    ! [X4,X5,X6,X7,X3] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X6,X4,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X5,X4,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X6,X5,tc_Type_Oty,tc_Type_Oty) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_384_385,plain,
    ! [X70,X71,X59,X56,X42,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X42,c_Expr_Oexp_OSeq(X56,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X71,X59,X70)
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X42,X56,tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_385_386,plain,
    ! [X63,X67,X53,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X53,X63,X3,X43)
      | ~ c_in(c_Pair(X9,X67,X3,X43),X22,tc_prod(X3,X43)) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_386_387,plain,
    ! [X53,X54,X55,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X55,X54,X43),X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X53,X54,X3,X43)
      | ~ c_in(c_Pair(X9,X55,X3,X43),X22,tc_prod(X3,X43)) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_387_388,plain,
    ! [X63,X67,X55,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X55,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X55,X63,X3,X43)
      | ~ c_in(c_Pair(X9,X67,X3,X43),X22,tc_prod(X3,X43)) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_388_389,plain,
    ! [X10,X13,X23,X20,X18,X7,X15] :
      ( hAPP(X15,X23) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X20),X18))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X20) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_389_390,plain,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,X12,X18)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_390_391,plain,
    ! [X11,X12,X23,X18,X7,X15,X24] :
      ( c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_391_392,plain,
    ! [X82,X67,X9,X83,X7,X43,X3] :
      ( c_in(c_Pair(c_Pair(X9,X82,X3,X43),c_Pair(X9,X67,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Recdef_Osame__fst(X7,X83,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43)))
      | ~ c_in(c_Pair(X82,X67,X43,X43),hAPP(X83,X9),tc_prod(X43,X43))
      | ~ hBOOL(hAPP(X7,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_392_393,plain,
    ! [X50,X70,X71,X59,X13,X72,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X72,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X72,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_393_394,plain,
    ! [X19,X37,X18,X7,X75,X15,X38] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OFAss(X37,X75,X38,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_394_395,plain,
    ! [X71,X81,X41,X42,X36,X37,X43,X3] :
      ( c_in(c_Pair(c_Pair(X37,X42,X3,X43),c_Pair(X36,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43)))
      | ~ c_in(c_Pair(X37,X36,X3,X3),X81,tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_395_396,plain,
    ! [X9,X71,X81,X41,X42,X43,X3] :
      ( c_in(c_Pair(c_Pair(X9,X42,X3,X43),c_Pair(X9,X41,X3,X43),tc_prod(X3,X43),tc_prod(X3,X43)),c_Wellfounded_Olex__prod(X81,X71,X3,X43),tc_prod(tc_prod(X3,X43),tc_prod(X3,X43)))
      | ~ c_in(c_Pair(X42,X41,X43,X43),X71,tc_prod(X43,X43)) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_396_397,plain,
    ! [X70,X71,X59,X13,X7,X75,X38] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAcc(X59,X75,X38,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_397_398,plain,
    ! [X70,X71,X66,X59,X13,X7,X84] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCall(X13,X84,X66,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCall(X59,X84,X66,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_398_399,plain,
    ! [X70,X71,X59,X11,X13,X72,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(X13,X72,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OBinOp(X59,X72,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_399_400,plain,
    ! [X70,X71,X59,X11,X12,X13,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCond(X59,X12,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_400_401,axiom,
    ! [X67,X9,X73,X42,X37,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X42,X3),X43,tc_Option_Ooption(X3)),X9) != c_Option_Ooption_OSome(X67,X3)
      | hAPP(X73,X9) = c_Option_Ooption_OSome(X67,X3)
      | X42 = X67 ),
    c_0_125 ).

fof(c_0_401_402,axiom,
    ! [X67,X9,X73,X42,X37,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X42,X3),X43,tc_Option_Ooption(X3)),X9) != c_Option_Ooption_OSome(X67,X3)
      | hAPP(X73,X9) = c_Option_Ooption_OSome(X67,X3)
      | X9 = X37 ),
    c_0_126 ).

fof(c_0_402_403,plain,
    ! [X9,X11,X12,X13,X14,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X9))
      | ~ c_WellType_OWT(X7,X15,X11,X9)
      | ~ c_WellType_OWT(X7,X15,X12,X14)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_403_404,plain,
    ! [X9,X11,X12,X13,X16,X7,X15] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X16))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X9))
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X9)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_404_405,axiom,
    ! [X67,X9,X73,X42,X74,X3] :
      ( X42 = X67
      | hAPP(c_Fun_Ofun__upd(X73,X9,c_Option_Ooption_OSome(X42,X74),X3,tc_Option_Ooption(X74)),X9) != c_Option_Ooption_OSome(X67,X74) ),
    c_0_129 ).

fof(c_0_405_406,axiom,
    ! [X67,X9,X87,X73,X37,X43,X3] :
      ( c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X9,X43),X3,tc_Option_Ooption(X43)) != c_Fun_Ofun__upd(X87,X37,c_Option_Ooption_OSome(X67,X43),X3,tc_Option_Ooption(X43))
      | X9 = X67 ),
    c_0_130 ).

fof(c_0_406_407,plain,
    ! [X10,X11,X12,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_407_408,plain,
    ! [X11,X12,X13,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X11,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X15,X7,X18,X12,X11))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_408_409,plain,
    ! [X11,X12,X13,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X12,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X15,X7,X18,X12,X11))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_409_410,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X35 = X34 ),
    c_0_134 ).

fof(c_0_410_411,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X79 = X78 ),
    c_0_135 ).

fof(c_0_411_412,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X77 = X76 ),
    c_0_136 ).

fof(c_0_412_413,axiom,
    ! [X76,X77,X78,X79,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OFAss(X35,X79,X77,X33,X3) != c_Expr_Oexp_OFAss(X34,X78,X76,X32,X3)
      | X33 = X32 ),
    c_0_137 ).

fof(c_0_413_414,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X33 = X32 ),
    c_0_138 ).

fof(c_0_414_415,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X37 = X36 ),
    c_0_139 ).

fof(c_0_415_416,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X31 = X30 ),
    c_0_140 ).

fof(c_0_416_417,axiom,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X3] :
      ( c_Expr_Oexp_OTryCatch(X35,X31,X37,X33,X3) != c_Expr_Oexp_OTryCatch(X34,X30,X36,X32,X3)
      | X35 = X34 ),
    c_0_141 ).

fof(c_0_417_418,plain,
    ! [X63,X67,X53,X9,X22,X43,X3] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),X53,X63,X3,X43)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_418_419,plain,
    ! [X47,X48,X98,X59,X13,X7,X84] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCall(X13,X84,X98,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_419_420,plain,
    ! [X47,X48,X59,X13,X7,X75,X38] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_420_421,plain,
    ! [X47,X48,X59,X11,X12,X13,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_421_422,plain,
    ! [X47,X48,X11,X12,X13,X72,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X72,X11,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X12,X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_422_423,plain,
    ! [X53,X54,X55,X9,X7,X3] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_List_Olist_OCons(X9,X53,tc_Type_Oty),c_List_Olist_OCons(X55,X54,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X53,X54,tc_Type_Oty,tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X9),X55)) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_423_424,plain,
    ! [X10,X13,X18,X7,X75,X15,X38] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_424_425,plain,
    ! [X10,X13,X18,X7,X75,X15,X38] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X75,X38,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_425_426,plain,
    ! [X10,X13,X18,X7,X25,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X25,X13,X18)
      | ~ c_Map_Omap__le(X15,X25,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_426_427,plain,
    ! [X63,X67,X55,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X55,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(X7,X55,X63,X3,X43)
      | ~ hBOOL(hAPP(hAPP(X7,X9),X67)) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_427_428,plain,
    ! [X53,X54,X55,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X55,X54,X43),X3,X43)
      | ~ c_List_Olist__all2(X7,X53,X54,X3,X43)
      | ~ hBOOL(hAPP(hAPP(X7,X9),X55)) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_428_429,plain,
    ! [X63,X67,X53,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43)
      | ~ c_List_Olist__all2(X7,X53,X63,X3,X43)
      | ~ hBOOL(hAPP(hAPP(X7,X9),X67)) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_429_430,plain,
    ! [X63,X67,X53,X9,X7,X43,X3] :
      ( c_List_Olist__all2(X7,X53,X63,X3,X43)
      | ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_430_431,plain,
    ! [X10,X13,X18,X7,X15,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Type_Ois__refT(X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_431_432,plain,
    ! [X10,X13,X18,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Type_Ois__refT(X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_432_433,plain,
    ! [X44,X17,X10,X5,X7,X3] :
      ( c_List_Olist__all2(c_Conform_Oconf(X7,X17,X3),X44,X5,tc_Value_Oval,tc_Type_Oty)
      | ~ c_Objects_Ohext(X10,X17)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X44,X5,tc_Value_Oval,tc_Type_Oty) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_433_434,plain,
    ! [X70,X71,X59,X13,X23,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OLAss(X23,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_434_435,plain,
    ! [X70,X71,X59,X13,X7,X24] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCast(X24,X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_435_436,plain,
    ! [X70,X71,X59,X11,X13,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OSeq(X59,X11,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_436_437,plain,
    ! [X47,X48,X59,X13,X23,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_437_438,plain,
    ! [X47,X48,X12,X49,X13,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X49,X12,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X49,X48,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_438_439,plain,
    ! [X47,X48,X59,X13,X56,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_439_440,plain,
    ! [X47,X48,X59,X13,X7,X24] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_440_441,plain,
    ! [X47,X48,X13,X7,X24] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_441_442,plain,
    ! [X10,X13,X56,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_442_443,plain,
    ! [X19,X10,X18,X7,X3] :
      ( c_Objects_Otypeof__h(X10,X19) = c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X7,X18,X10,X19,X3),tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_443_444,plain,
    ! [X47,X48,X59,X13,X7] :
      ( c_BigStep_Oeval(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47)
      | ~ c_BigStep_Oeval(X7,X13,X48,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X47) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_444_445,plain,
    ! [X70,X71,X59,X13,X7] :
      ( c_SmallStep_Oredp(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X70)
      | ~ c_SmallStep_Oredp(X7,X13,X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_445_446,plain,
    ! [X9,X11,X12,X13,X7,X15] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),X9))
      | ~ c_WellType_OWT(X7,X15,X11,X9)
      | ~ c_WellType_OWT(X7,X15,X12,X9)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_446_447,plain,
    ! [X10,X13,X93,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Type_Ois__refT(X93)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X93) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_447_448,plain,
    ! [X10,X13,X93,X18,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X18)
      | ~ c_Type_Ois__refT(X93)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,X93) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_448_449,plain,
    ! [X58,X17,X10,X7,X15,X3] :
      ( c_Conform_Olconf(X7,X17,X58,X15,X3)
      | ~ c_Objects_Ohext(X10,X17)
      | ~ c_Conform_Olconf(X7,X10,X58,X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_449_450,plain,
    ! [X17,X10,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X17,X15,X13,X18)
      | ~ c_Objects_Ohext(X10,X17)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_450_451,plain,
    ! [X10,X13,X18,X7,X15] :
      ( c_Progress_OWTrt_H(X7,X10,X15,X13,X18)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_451_452,plain,
    ! [X10,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_Progress_OWTrt_H(X7,X10,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_452_453,plain,
    ! [X8] :
      ( v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),v_T_092_060_094isub_0622____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X8) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_453_454,plain,
    ! [X63,X67,X53,X9,X22,X43,X3] :
      ( c_in(c_Pair(X9,X67,X3,X43),X22,tc_prod(X3,X43))
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X43),c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_454_455,plain,
    ! [X11,X12,X16,X14,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14),X16))
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_455_456,plain,
    ! [X11,X12,X16,X14,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OBinOp(X12,c_Expr_Obop_OEq,X11,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X14))
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_456_457,plain,
    ! [X10,X51,X52,X43,X3] :
      ( c_Map_Omap__le(c_Map_Omap__add(X52,X51,X3,X43),X10,X3,X43)
      | ~ c_Map_Omap__le(X52,c_Map_Omap__add(X52,X51,X3,X43),X3,X43)
      | ~ c_Map_Omap__le(X51,X10,X3,X43)
      | ~ c_Map_Omap__le(X52,X10,X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_457_458,axiom,
    ! [X67,X9,X73,X42,X37,X43,X3] :
      ( hAPP(X73,X9) != c_Option_Ooption_OSome(X67,X3)
      | X9 = X37
      | hAPP(c_Fun_Ofun__upd(X73,X37,c_Option_Ooption_OSome(X42,X3),X43,tc_Option_Ooption(X3)),X9) = c_Option_Ooption_OSome(X67,X3) ),
    c_0_182 ).

fof(c_0_458_459,plain,
    ! [X81,X56,X42,X37,X3] :
      ( c_in(c_Pair(X37,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X42,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X37,X42,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_459_460,plain,
    ! [X81,X56,X42,X37,X3] :
      ( c_in(c_Pair(X37,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X42,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X37,X42,X3,X3),X81,tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_460_461,plain,
    ! [X81,X56,X42,X37,X3] :
      ( c_in(c_Pair(X37,X56,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X42,X56,X3,X3),X81,tc_prod(X3,X3))
      | ~ c_in(c_Pair(X37,X42,X3,X3),c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_461_462,axiom,
    ! [X89,X67,X9,X52,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X52,X9,X67,X43,X3),X89) = hAPP(X52,X89)
      | X89 = X9 ),
    c_0_186 ).

fof(c_0_462_463,axiom,
    ! [X89,X67,X9,X52,X43,X3] :
      ( hAPP(c_Fun_Ofun__upd(X52,X9,X67,X3,X43),X89) = hAPP(X52,X89)
      | X89 = X9 ),
    c_0_187 ).

fof(c_0_463_464,plain,
    ! [X63,X67,X53,X9,X7,X43,X3] :
      ( hBOOL(hAPP(hAPP(X7,X9),X67))
      | ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X53,X3),c_List_Olist_OCons(X67,X63,X43),X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_464_465,plain,
    ! [X10,X13,X18,X7,X15,X38] :
      ( c_Decl_Ois__class(X7,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_465_466,plain,
    ! [X10,X13,X18,X7,X15,X38] :
      ( X18 = c_Type_Oty_OClass(X38)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_466_467,plain,
    ! [X10,X18,X7,X15,X24] :
      ( c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_467_468,plain,
    ! [X19,X10,X13,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OLAss(X19,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_468_469,plain,
    ! [X10,X13,X56,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_469_470,plain,
    ! [X10,X13,X23,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_470_471,plain,
    ! [X19,X70,X71,X59,X7] :
      ( X59 = c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar))
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_471_472,plain,
    ! [X10,X18,X7,X15,X24] :
      ( X18 = c_Type_Oty_OClass(X24)
      | ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_472_473,plain,
    ! [X19,X70,X71,X59,X7] :
      ( X70 = X71
      | ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X71,X59,X70) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_473_474,axiom,
    ! [X67,X9,X52,X43,X3] :
      ( c_Fun_Ofun__upd(X52,X9,X67,X3,X43) != X52
      | hAPP(X52,X9) = X67 ),
    c_0_198 ).

fof(c_0_474_475,plain,
    ! [X63,X53,X3] :
      ( X53 = X63
      | ~ c_List_Olist__all2(c_fequal(X3),X53,X63,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_475_476,plain,
    ! [X51,X52,X43,X3] :
      ( c_Map_Omap__add(X52,X51,X3,X43) = c_Map_Omap__add(X51,X52,X3,X43)
      | ~ c_Map_Omap__le(X52,c_Map_Omap__add(X52,X51,X3,X43),X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_476_477,plain,
    ! [X19,X10,X20,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X20))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X18),X20))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_477_478,plain,
    ! [X10,X13,X18,X7,X15] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,X13,X18)
      | ~ c_WellType_OWT(X7,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_478_479,axiom,
    ! [X51,X52,X43,X3] :
      ( c_Map_Omap__add(X52,X51,X3,X43) != c_Map_Omap__add(X51,X52,X3,X43)
      | c_Map_Omap__le(X52,c_Map_Omap__add(X52,X51,X3,X43),X3,X43) ),
    c_0_203 ).

fof(c_0_479_480,plain,
    ! [X10,X7,X15,X24] :
      ( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,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_204]) ).

fof(c_0_480_481,plain,
    ! [X10,X7,X15,X24] :
      ( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,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_205]) ).

fof(c_0_481_482,plain,
    ! [X11,X12,X13,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_482_483,plain,
    ! [X10,X51,X52,X43,X3] :
      ( c_Map_Omap__le(X51,X10,X3,X43)
      | ~ c_Map_Omap__le(c_Map_Omap__add(X52,X51,X3,X43),X10,X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_483_484,plain,
    ! [X19,X17,X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X17,X3),X19),X18))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18))
      | ~ c_Objects_Ohext(X10,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_484_485,axiom,
    ! [X9,X90,X91,X43,X3] :
      ( hAPP(X90,X91) != c_Option_Ooption_OSome(X9,X3)
      | c_Fun_Ofun__upd(X90,X91,c_Option_Ooption_OSome(X9,X3),X43,tc_Option_Ooption(X3)) = X90 ),
    c_0_209 ).

fof(c_0_485_486,axiom,
    ! [X19,X10,X18,X7,X15] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    c_0_210 ).

fof(c_0_486_487,axiom,
    ! [X19,X10,X18,X7,X15] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X18) ),
    c_0_211 ).

fof(c_0_487_488,plain,
    ! [X11,X12,X16,X14,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OSeq(X12,X11,tc_List_Olist(tc_String_Ochar)),X16)
      | ~ c_WellType_OWT(X7,X15,X11,X16)
      | ~ c_WellType_OWT(X7,X15,X12,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_488_489,plain,
    ! [X13,X56,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X7,X15,X56,X18)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_489_490,plain,
    ! [X13,X18,X7,X25,X15] :
      ( c_WellType_OWT(X7,X25,X13,X18)
      | ~ c_Map_Omap__le(X15,X25,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellType_OWT(X7,X15,X13,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_490_491,plain,
    ! [X60,X61,X62,X43,X3] :
      ( c_Map_Omap__le(X62,X60,X3,X43)
      | ~ c_Map_Omap__le(X61,X60,X3,X43)
      | ~ c_Map_Omap__le(X62,X61,X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_491_492,plain,
    ! [X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Type_Oty_ONT),X18))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),c_Value_Oval_ONull),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_492_493,axiom,
    ! [X9,X87,X73,X91,X43,X3] :
      ( hAPP(c_Map_Omap__add(X73,X87,X43,X3),X91) != c_Option_Ooption_OSome(X9,X3)
      | hAPP(X73,X91) = c_Option_Ooption_OSome(X9,X3)
      | hAPP(X87,X91) = c_Option_Ooption_OSome(X9,X3) ),
    c_0_217 ).

fof(c_0_493_494,plain,
    ! [X9,X19,X10,X18,X7,X3] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X9,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X9),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_494_495,plain,
    ! [X13,X56,X18,X7,X15] :
      ( c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_495_496,plain,
    ! [X19,X10,X7,X3] :
      ( X19 = c_Value_Oval_ONull
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),c_Type_Oty_ONT)) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_496_497,plain,
    ! [X10,X18,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),c_Value_Oval_ONull),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Type_Oty_ONT),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_497_498,plain,
    ! [X51,X52,X43,X3] :
      ( X52 = X51
      | ~ c_Map_Omap__le(X51,X52,X3,X43)
      | ~ c_Map_Omap__le(X52,X51,X3,X43) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_498_499,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OFAcc(X69,X79,X77,X3) != c_Expr_Oexp_OFAcc(X68,X78,X76,X3)
      | X77 = X76 ),
    c_0_223 ).

fof(c_0_499_500,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OFAcc(X69,X79,X77,X3) != c_Expr_Oexp_OFAcc(X68,X78,X76,X3)
      | X79 = X78 ),
    c_0_224 ).

fof(c_0_500_501,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OFAcc(X69,X79,X77,X3) != c_Expr_Oexp_OFAcc(X68,X78,X76,X3)
      | X69 = X68 ),
    c_0_225 ).

fof(c_0_501_502,axiom,
    ! [X94,X95,X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OBlock(X37,X95,X69,X3) != c_Expr_Oexp_OBlock(X36,X94,X68,X3)
      | X69 = X68 ),
    c_0_226 ).

fof(c_0_502_503,axiom,
    ! [X94,X95,X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OBlock(X37,X95,X69,X3) != c_Expr_Oexp_OBlock(X36,X94,X68,X3)
      | X95 = X94 ),
    c_0_227 ).

fof(c_0_503_504,axiom,
    ! [X94,X95,X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OBlock(X37,X95,X69,X3) != c_Expr_Oexp_OBlock(X36,X94,X68,X3)
      | X37 = X36 ),
    c_0_228 ).

fof(c_0_504_505,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OCall(X69,X79,X77,X3) != c_Expr_Oexp_OCall(X68,X78,X76,X3)
      | X69 = X68 ),
    c_0_229 ).

fof(c_0_505_506,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OCall(X69,X79,X77,X3) != c_Expr_Oexp_OCall(X68,X78,X76,X3)
      | X79 = X78 ),
    c_0_230 ).

fof(c_0_506_507,axiom,
    ! [X76,X77,X78,X79,X68,X69,X3] :
      ( c_Expr_Oexp_OCall(X69,X79,X77,X3) != c_Expr_Oexp_OCall(X68,X78,X76,X3)
      | X77 = X76 ),
    c_0_231 ).

fof(c_0_507_508,axiom,
    ! [X32,X33,X34,X35,X88,X72,X3] :
      ( c_Expr_Oexp_OBinOp(X35,X72,X33,X3) != c_Expr_Oexp_OBinOp(X34,X88,X32,X3)
      | X33 = X32 ),
    c_0_232 ).

fof(c_0_508_509,axiom,
    ! [X32,X33,X34,X35,X88,X72,X3] :
      ( c_Expr_Oexp_OBinOp(X35,X72,X33,X3) != c_Expr_Oexp_OBinOp(X34,X88,X32,X3)
      | X72 = X88 ),
    c_0_233 ).

fof(c_0_509_510,axiom,
    ! [X32,X33,X34,X35,X88,X72,X3] :
      ( c_Expr_Oexp_OBinOp(X35,X72,X33,X3) != c_Expr_Oexp_OBinOp(X34,X88,X32,X3)
      | X35 = X34 ),
    c_0_234 ).

fof(c_0_510_511,axiom,
    ! [X41,X42,X36,X37,X43,X3] :
      ( c_Pair(X37,X42,X3,X43) != c_Pair(X36,X41,X3,X43)
      | X37 = X36 ),
    c_0_235 ).

fof(c_0_511_512,axiom,
    ! [X41,X42,X36,X37,X43,X3] :
      ( c_Pair(X37,X42,X3,X43) != c_Pair(X36,X41,X3,X43)
      | X42 = X41 ),
    c_0_236 ).

fof(c_0_512_513,axiom,
    ! [X39,X40,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OCond(X35,X33,X40,X3) != c_Expr_Oexp_OCond(X34,X32,X39,X3)
      | X40 = X39 ),
    c_0_237 ).

fof(c_0_513_514,axiom,
    ! [X39,X40,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OCond(X35,X33,X40,X3) != c_Expr_Oexp_OCond(X34,X32,X39,X3)
      | X33 = X32 ),
    c_0_238 ).

fof(c_0_514_515,axiom,
    ! [X39,X40,X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OCond(X35,X33,X40,X3) != c_Expr_Oexp_OCond(X34,X32,X39,X3)
      | X35 = X34 ),
    c_0_239 ).

fof(c_0_515_516,plain,
    ! [X21,X18,X22,X7,X3] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X22),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X21),X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X22),X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_516_517,plain,
    ! [X13,X18,X7,X15,X38] :
      ( c_Decl_Ois__class(X7,X38,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_517_518,plain,
    ! [X13,X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X7,X15,X13,c_Type_Oty_OClass(X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_518_519,plain,
    ! [X13,X18,X7,X15,X38] :
      ( X18 = c_Type_Oty_OClass(X38)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCast(X38,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_519_520,plain,
    ! [X18,X7,X15,X24] :
      ( c_Decl_Ois__class(X7,X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_520_521,plain,
    ! [X13,X23,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_521_522,plain,
    ! [X13,X56,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X56,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_522_523,axiom,
    ! [X92,X87,X73,X91,X43,X3] :
      ( hAPP(X87,X91) != c_Option_Ooption_OSome(X92,X3)
      | hAPP(c_Map_Omap__add(X73,X87,X43,X3),X91) = c_Option_Ooption_OSome(X92,X3) ),
    c_0_247 ).

fof(c_0_523_524,axiom,
    ! [X9,X87,X73,X91,X43,X3] :
      ( hAPP(X87,X91) != c_Option_Ooption_OSome(X9,X3)
      | hAPP(c_Map_Omap__add(X73,X87,X43,X3),X91) = c_Option_Ooption_OSome(X9,X3) ),
    c_0_248 ).

fof(c_0_524_525,axiom,
    ! [X19,X10,X18,X7,X3] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X7,X10,X3),X19),X18)) ),
    c_0_249 ).

fof(c_0_525_526,plain,
    ! [X7,X15,X24] :
      ( c_WellType_OWT(X7,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X24))
      | ~ c_Decl_Ois__class(X7,X24,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_250]) ).

fof(c_0_526_527,plain,
    ! [X18,X7,X15,X24] :
      ( X18 = c_Type_Oty_OClass(X24)
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_Onew(X24,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_527_528,plain,
    ! [X13,X18,X7,X15] :
      ( X18 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_528_529,plain,
    ! [X18,X7,X24,X3] :
      ( X18 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X18))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),c_Type_Oty_OClass(X24)),X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_529_530,plain,
    ! [X81,X97,X3] :
      ( c_in(X97,c_Transitive__Closure_Ortrancl(X81,X3),tc_prod(X3,X3))
      | ~ c_in(X97,X81,tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_530_531,axiom,
    ! [X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OLAss(X37,X69,X3) != c_Expr_Oexp_OLAss(X36,X68,X3)
      | X69 = X68 ),
    c_0_255 ).

fof(c_0_531_532,axiom,
    ! [X68,X69,X36,X37,X3] :
      ( c_Expr_Oexp_OLAss(X37,X69,X3) != c_Expr_Oexp_OLAss(X36,X68,X3)
      | X37 = X36 ),
    c_0_256 ).

fof(c_0_532_533,axiom,
    ! [X30,X31,X36,X37,X3] :
      ( c_List_Olist_OCons(X37,X31,X3) != c_List_Olist_OCons(X36,X30,X3)
      | X37 = X36 ),
    c_0_257 ).

fof(c_0_533_534,axiom,
    ! [X30,X31,X36,X37,X3] :
      ( c_List_Olist_OCons(X37,X31,X3) != c_List_Olist_OCons(X36,X30,X3)
      | X31 = X30 ),
    c_0_258 ).

fof(c_0_534_535,axiom,
    ! [X30,X31,X68,X69,X3] :
      ( c_Expr_Oexp_OCast(X31,X69,X3) != c_Expr_Oexp_OCast(X30,X68,X3)
      | X31 = X30 ),
    c_0_259 ).

fof(c_0_535_536,axiom,
    ! [X30,X31,X68,X69,X3] :
      ( c_Expr_Oexp_OCast(X31,X69,X3) != c_Expr_Oexp_OCast(X30,X68,X3)
      | X69 = X68 ),
    c_0_260 ).

fof(c_0_536_537,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OWhile(X35,X33,X3) != c_Expr_Oexp_OWhile(X34,X32,X3)
      | X35 = X34 ),
    c_0_261 ).

fof(c_0_537_538,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OWhile(X35,X33,X3) != c_Expr_Oexp_OWhile(X34,X32,X3)
      | X33 = X32 ),
    c_0_262 ).

fof(c_0_538_539,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OSeq(X35,X33,X3) != c_Expr_Oexp_OSeq(X34,X32,X3)
      | X33 = X32 ),
    c_0_263 ).

fof(c_0_539_540,axiom,
    ! [X32,X33,X34,X35,X3] :
      ( c_Expr_Oexp_OSeq(X35,X33,X3) != c_Expr_Oexp_OSeq(X34,X32,X3)
      | X35 = X34 ),
    c_0_264 ).

fof(c_0_540_541,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_541_542,plain,
    ! [X9,X22,X3] :
      ( hBOOL(hAPP(X22,X9))
      | ~ c_in(X9,X22,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_542_543,plain,
    ! [X9,X22,X3] :
      ( c_in(X9,X22,X3)
      | ~ hBOOL(hAPP(X22,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_543_544,plain,
    ! [X19,X17,X10,X18] :
      ( c_Objects_Otypeof__h(X10,X19) != c_Option_Ooption_OSome(X18,tc_Type_Oty)
      | ~ c_Objects_Ohext(X10,X17)
      | c_Objects_Otypeof__h(X17,X19) = c_Option_Ooption_OSome(X18,tc_Type_Oty) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_544_545,plain,
    ! [X64,X17,X10] :
      ( c_Objects_Ohext(X10,X64)
      | ~ c_Objects_Ohext(X17,X64)
      | ~ c_Objects_Ohext(X10,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_545_546,axiom,
    ! [X68,X69,X3] :
      ( c_Expr_Oexp_Othrow(X69,X3) != c_Expr_Oexp_Othrow(X68,X3)
      | X69 = X68 ),
    c_0_270 ).

fof(c_0_546_547,axiom,
    ! [X36,X37,X3] :
      ( c_Option_Ooption_OSome(X37,X3) != c_Option_Ooption_OSome(X36,X3)
      | X37 = X36 ),
    c_0_271 ).

fof(c_0_547_548,axiom,
    ! [X30,X31,X3] :
      ( c_Expr_Oexp_Onew(X31,X3) != c_Expr_Oexp_Onew(X30,X3)
      | X31 = X30 ),
    c_0_272 ).

fof(c_0_548_549,axiom,
    ! [X28,X29,X3] :
      ( c_Expr_Oexp_OVal(X29,X3) != c_Expr_Oexp_OVal(X28,X3)
      | X29 = X28 ),
    c_0_273 ).

fof(c_0_549_550,axiom,
    ! [X30,X31] :
      ( c_Type_Oty_OClass(X31) != c_Type_Oty_OClass(X30)
      | X31 = X30 ),
    c_0_274 ).

fof(c_0_550_551,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X30,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X32,X31,X30,X29,X28,X27,X26,X25)),X29))
      | ~ c_WellTypeRT_OWTrt(X30,X25,X31,c_Expr_Oexp_OTryCatch(X27,X32,X28,X26,tc_List_Olist(tc_String_Ochar)),X29) ),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_551_552,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X30,X25,X31,X27,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X32,X31,X30,X29,X28,X27,X26,X25))
      | ~ c_WellTypeRT_OWTrt(X30,X25,X31,c_Expr_Oexp_OTryCatch(X27,X32,X28,X26,tc_List_Olist(tc_String_Ochar)),X29) ),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_552_553,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X81,X84,X85,X80,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)))),c_Pair(c_Expr_Oexp_Othrow(X82,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X83),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X80,X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X82,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X83),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X81,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)))),c_Pair(c_Expr_Oexp_OVal(X76,tc_List_Olist(tc_String_Ochar)),X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X83),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_277])])]) ).

fof(c_0_553_554,plain,
    ! [X73,X74,X75,X76,X77,X78,X79,X80,X81] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X78,X80,X77,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)))),c_Pair(c_Expr_Oexp_Othrow(X79,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,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)))),c_Pair(c_Expr_Oexp_Othrow(X79,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(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)))),c_Pair(c_Expr_Oexp_OVal(X73,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(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_278]) ).

fof(c_0_554_555,plain,
    ! [X87,X88,X89,X90,X91,X92,X93,X94] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X93,X92,tc_List_Olist(tc_String_Ochar)),X90,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X91,X88,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X94),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X92,X89,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X91,X88,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X94),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X93,X90,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X87,tc_List_Olist(tc_String_Ochar)),X89,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X94),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_279]) ).

fof(c_0_555_556,plain,
    ! [X86,X87,X88,X89,X90,X91,X92,X93] :
      ( c_in(c_Pair(c_Pair(X92,c_Pair(X90,c_Map_Omap__add(X87,X88,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(X91,c_Pair(X89,c_Map_Omap__add(X87,X86,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(X93),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X92,c_Pair(X90,X88,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X91,c_Pair(X89,X86,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X93),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_280]) ).

fof(c_0_556_557,plain,
    ! [X86,X87,X88,X89,X90,X91,X92,X93] :
      ( c_in(c_Pair(c_Pair(X92,c_Pair(X90,c_Map_Omap__add(X87,X88,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(X91,c_Pair(X89,c_Map_Omap__add(X87,X86,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(X93),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X92,c_Pair(X90,X88,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X91,c_Pair(X89,X86,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X93),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_281]) ).

fof(c_0_557_558,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X76,tc_List_Olist(tc_String_Ochar)),X82,X83,X80,tc_List_Olist(tc_String_Ochar)),X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X76,tc_List_Olist(tc_String_Ochar)),X82,X83,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X80,X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_282])])]) ).

fof(c_0_558_559,plain,
    ! [X72,X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X76,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_283])])]) ).

fof(c_0_559_560,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X80,X82,X83,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_OFAss(X78,X82,X83,X79,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(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X80,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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_284])])]) ).

fof(c_0_560_561,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X80,X82,X83,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_Othrow(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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X80,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(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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X81),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_285])])]) ).

fof(c_0_561_562,plain,
    ! [X72,X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X76,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X72,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X72,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_562_563,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X78,X77,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)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X78,X76,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X79),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,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)))),c_Pair(X76,X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X79),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_287]) ).

fof(c_0_563_564,plain,
    ! [X85,X86,X87,X88,X89,X90,X91] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X89,X91,X87,tc_List_Olist(tc_String_Ochar)),X86,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X88,X91,X87,tc_List_Olist(tc_String_Ochar)),X85,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X90),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X89,X86,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X88,X85,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X90),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_564_565,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X79,X81,X82,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_OFAcc(X78,X81,X82,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(X80),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X80),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_289])])]) ).

fof(c_0_565_566,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X77,X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,X76,X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_290]) ).

fof(c_0_566_567,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X77,X78,X76,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,X78,X76,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X79),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X79),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_567_568,plain,
    ! [X97,X98,X99,X100,X101,X102,X103] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X100,X103,X99,tc_List_Olist(tc_String_Ochar)),X98,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X101,tc_List_Olist(tc_String_Ochar)),X97,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X102),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X100,X98,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X101,tc_List_Olist(tc_String_Ochar)),X97,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X102),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_292])])]) ).

fof(c_0_568_569,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X78,X81,X82,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(X79,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(X80),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X78,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(X79,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(X80),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_293])])]) ).

fof(c_0_569_570,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X77,X78,X76,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X79),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X79),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_294]) ).

fof(c_0_570_571,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X76,X75,X74,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X77,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X77,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X78),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_295]) ).

fof(c_0_571_572,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X76,X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_296]) ).

fof(c_0_572_573,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X77,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X77,X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_297])])]) ).

fof(c_0_573_574,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_298]) ).

fof(c_0_574_575,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X76,X74,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X74,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_299]) ).

fof(c_0_575_576,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_300]) ).

fof(c_0_576_577,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X77),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_301]) ).

fof(c_0_577_578,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X77,X74,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X74,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_302])])]) ).

fof(c_0_578_579,plain,
    ! [X72,X73,X74,X75,X76] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X76,X74,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X75),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X74,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X75),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_303])])]) ).

fof(c_0_579_580,plain,
    ! [X72,X73,X74,X75,X76] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X74,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X74,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_304]) ).

fof(c_0_580_581,plain,
    ! [X72,X73,X74,X75,X76] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X76),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_305]) ).

fof(c_0_581_582,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X76,tc_List_Olist(tc_String_Ochar)),X82,X83,X80,tc_List_Olist(tc_String_Ochar)),X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X76,tc_List_Olist(tc_String_Ochar)),X82,X83,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(X80,X78,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_306])])]) ).

fof(c_0_582_583,plain,
    ! [X72,X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X76,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X78),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X78),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_307])])]) ).

fof(c_0_583_584,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X80,X82,X83,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_OFAss(X78,X82,X83,X79,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(X80,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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_308])])]) ).

fof(c_0_584_585,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X25,X24,X23,X21,X20,X19)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X25,X24,X23,X21,X20,X19)))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X25,X24,X23,X21,X20,X19)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X25,X24,X23,X21,X20,X19)))
      | ~ c_WellTypeRT_OWTrt(X24,X19,X25,c_Expr_Oexp_OCond(X22,X21,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_585_586,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X78,X77,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)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X78,X76,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X79),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,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)))),c_Pair(X76,X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X79),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_310]) ).

fof(c_0_586_587,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X77,X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,X76,X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X78),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X78),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_311]) ).

fof(c_0_587_588,plain,
    ! [X85,X86,X87,X88,X89,X90,X91] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X89,X91,X87,tc_List_Olist(tc_String_Ochar)),X86,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X88,X91,X87,tc_List_Olist(tc_String_Ochar)),X85,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X90),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X89,X86,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X88,X85,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X90),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_312])])]) ).

fof(c_0_588_589,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X79,X81,X82,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_OFAcc(X78,X81,X82,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(X80),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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(X80),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_589_590,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X77,X78,X76,tc_List_Olist(tc_String_Ochar)),X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X75,X78,X76,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X79),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X77,X74,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X79),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_314]) ).

fof(c_0_590_591,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X77,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X77,X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X76),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X76),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_591_592,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X76,X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X77),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X77),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_316]) ).

fof(c_0_592_593,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,X75,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X77),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X76,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X77),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_593_594,plain,
    ! [X72,X73,X74,X75,X76] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X75,tc_List_Olist(tc_String_Ochar)),X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X74,tc_List_Olist(tc_String_Ochar)),X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X76),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X76),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_594_595,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_WellTypeRT_OWTrt(X80,X77,X82,X78,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X80,X77,X82,X78,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X83,X82,X81,X80,X78,X77,X76)))
      | ~ c_WellTypeRT_OWTrt(X80,X77,X82,c_Expr_Oexp_OFAss(X78,X81,X83,X76,tc_List_Olist(tc_String_Ochar)),X79) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_319])])]) ).

fof(c_0_595_596,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( X79 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X80,X77,X82,X78,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X83,X82,X81,X80,X78,X77,X76)))
      | ~ c_WellTypeRT_OWTrt(X80,X77,X82,c_Expr_Oexp_OFAss(X78,X81,X83,X76,tc_List_Olist(tc_String_Ochar)),X79) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_320])])]) ).

fof(c_0_596_597,plain,
    ! [X60,X61,X62,X63,X64,X65,X66,X67,X68] :
      ( c_Conform_Olconf(X67,X62,X60,X68,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Olconf(X67,X63,X61,X68,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X67,X63,X68,X65,X66)
      | ~ c_in(c_Pair(c_Pair(X65,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(X64,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(X67),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_597_598,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( X23 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X25,X24,X23,X21,X20,X19)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X25,X24,X23,X21,X20,X19)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X25,X24,X23,X21,X20,X19)))
      | ~ c_WellTypeRT_OWTrt(X24,X19,X25,c_Expr_Oexp_OCond(X22,X21,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_598_599,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( X23 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X25,X24,X23,X21,X20,X19)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X24,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X25,X24,X23,X21,X20,X19)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X25,X24,X23,X21,X20,X19)))
      | ~ c_WellTypeRT_OWTrt(X24,X19,X25,c_Expr_Oexp_OCond(X22,X21,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_599_600,plain,
    ! [X60,X61,X62,X63,X64,X65,X66,X67,X68] :
      ( c_Conform_Ohconf(X67,X62,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Ohconf(X67,X63,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X67,X63,X68,X65,X66)
      | ~ c_in(c_Pair(c_Pair(X65,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(X64,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(X67),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_324])])]) ).

fof(c_0_600_601,plain,
    ! [X60,X61,X62,X63,X64,X65,X66] :
      ( c_Objects_Ohext(X63,X62)
      | ~ c_in(c_Pair(c_Pair(X65,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(X64,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(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)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_325])])]) ).

fof(c_0_601_602,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( c_TypeSafe__Mirabelle_Osconf(X77,X78,X72)
      | ~ c_TypeSafe__Mirabelle_Osconf(X77,X78,X73)
      | ~ c_WellTypeRT_OWTrt(X77,c_State_Ohp(X73),X78,X75,X76)
      | ~ c_in(c_Pair(c_Pair(X75,X73,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X74,X72,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X77),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_326]) ).

fof(c_0_602_603,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X24,X23,X22,X20,X19)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X24,X23,X22,X20,X19)))
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X24,X23,X22,X20,X19)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X24,X23,X22,X20,X19)))
      | ~ c_WellType_OWT(X23,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_603_604,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( X22 = c_WellType_Osko__WellType__XWT__elim__cases__2__2(X24,X23,X22,X20,X19)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X24,X23,X22,X20,X19)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X24,X23,X22,X20,X19)))
      | ~ c_WellType_OWT(X23,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_604_605,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( X22 = c_WellType_Osko__WellType__XWT__elim__cases__2__1(X24,X23,X22,X20,X19)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X24,X23,X22,X20,X19)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X24,X23,X22,X20,X19)))
      | ~ c_WellType_OWT(X23,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_605_606,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
      ( c_Progress_OWTrt_H(X81,X76,X83,c_Expr_Oexp_OFAss(X78,X82,X84,X77,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X81,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X79),X80))
      | ~ c_Progress_OWTrt_H(X81,X76,X83,X77,X79)
      | ~ c_TypeRel_Ohas__field(X81,X85,X82,X80,X84,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X81,X76,X83,X78,c_Type_Oty_OClass(X85)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_330])])]) ).

fof(c_0_606_607,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
      ( c_WellTypeRT_OWTrt(X81,X76,X83,c_Expr_Oexp_OFAss(X78,X82,X84,X77,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X81,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X79),X80))
      | ~ c_WellTypeRT_OWTrt(X81,X76,X83,X77,X79)
      | ~ c_TypeRel_Ohas__field(X81,X85,X82,X80,X84,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X81,X76,X83,X78,c_Type_Oty_OClass(X85)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_331])])]) ).

fof(c_0_607_608,plain,
    ! [X28,X29] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X29,v_P,X28,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X28))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X29,v_e_092_060_094isub_0622____,X28)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X29,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_332]) ).

fof(c_0_608_609,plain,
    ! [X19,X20] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X20,v_P,X19,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X19))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X20,v_e_092_060_094isub_0622____,X19)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X20,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_333]) ).

fof(c_0_609_610,plain,
    ! [X19,X20] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X20,v_P,X19,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X19))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X20,v_e_092_060_094isub_0622____,X19)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X20,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_334]) ).

fof(c_0_610_611,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_WellTypeRT_OWTrt(X24,X19,X25,X20,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X25,X24,X23,X21,X20,X19))
      | ~ c_WellTypeRT_OWTrt(X24,X19,X25,c_Expr_Oexp_OCond(X22,X21,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_611_612,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_WellTypeRT_OWTrt(X24,X19,X25,X21,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X25,X24,X23,X21,X20,X19))
      | ~ c_WellTypeRT_OWTrt(X24,X19,X25,c_Expr_Oexp_OCond(X22,X21,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_612_613,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_WellTypeRT_OWTrt(X79,X76,X81,c_Expr_Oexp_OFAcc(X77,X80,X82,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_TypeRel_Ohas__field(X79,X83,X80,X78,X82,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X79,X76,X81,X77,c_Type_Oty_OClass(X83)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_337])])]) ).

fof(c_0_613_614,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_Progress_OWTrt_H(X79,X76,X81,c_Expr_Oexp_OFAcc(X77,X80,X82,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_TypeRel_Ohas__field(X79,X83,X80,X78,X82,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X79,X76,X81,X77,c_Type_Oty_OClass(X83)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_338])])]) ).

fof(c_0_614_615,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( c_Progress_OWTrt_H(X31,X25,X32,c_Expr_Oexp_OTryCatch(X27,X33,X28,X26,tc_List_Olist(tc_String_Ochar)),X29)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X31,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X30),X29))
      | ~ c_Progress_OWTrt_H(X31,X25,c_Fun_Ofun__upd(X32,X28,c_Option_Ooption_OSome(c_Type_Oty_OClass(X33),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X26,X29)
      | ~ c_Progress_OWTrt_H(X31,X25,X32,X27,X30) ),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_615_616,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( c_WellTypeRT_OWTrt(X31,X25,X32,c_Expr_Oexp_OTryCatch(X27,X33,X28,X26,tc_List_Olist(tc_String_Ochar)),X29)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X31,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X30),X29))
      | ~ c_WellTypeRT_OWTrt(X31,X25,c_Fun_Ofun__upd(X32,X28,c_Option_Ooption_OSome(c_Type_Oty_OClass(X33),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X26,X29)
      | ~ c_WellTypeRT_OWTrt(X31,X25,X32,X27,X30) ),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_616_617,plain,
    ! [X20,X21,X22,X23,X24] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,X24),c_Conform_Osko__Conform__Xconf__def__1__1(X23,X22,X21,X20,X24)),X22))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X23,X21,X24),X20),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_617_618,plain,
    ! [X67,X68,X69,X70,X71,X72,X73] :
      ( c_Objects_Ohext(X70,X69)
      | ~ c_BigStep_Oevals(X73,X72,c_Pair(X70,X68,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X71,c_Pair(X69,X67,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_342])])]) ).

fof(c_0_618_619,plain,
    ! [X60,X61,X62,X63,X64,X65,X66] :
      ( c_Objects_Ohext(X63,X62)
      | ~ c_BigStep_Oeval(X66,X65,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))),X64,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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_343])])]) ).

fof(c_0_619_620,plain,
    ! [X19,X20] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X20,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X20,v_P,X19,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X20,v_e_092_060_094isub_0622____,X19)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X20,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_344]) ).

fof(c_0_620_621,plain,
    ! [X19,X20] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X20,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X20,v_P,X19,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X20,v_e_092_060_094isub_0622____,X19)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X20,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_345]) ).

fof(c_0_621_622,plain,
    ! [X28,X29] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X29,v_e_092_060_094isub_0622_H____,v_sko__local__XIH__1(X29,v_P,X28,v_e_092_060_094isub_0622_H____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X29,v_e_092_060_094isub_0622____,X28)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X29,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_346]) ).

fof(c_0_622_623,plain,
    ! [X24,X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_Objects_Otypeof__h(X25,X24) != c_Option_Ooption_OSome(X29,tc_Type_Oty)
      | c_Progress_OWTrt_H(X31,X25,X32,c_Expr_Oexp_OBlock(X27,X30,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X27,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X26,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X28)
      | ~ c_Progress_OWTrt_H(X31,X25,c_Fun_Ofun__upd(X32,X27,c_Option_Ooption_OSome(X30,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X26,X28)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X31,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X29),X30)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_347])])]) ).

fof(c_0_623_624,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X17),X22))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X22),X17))
      | ~ c_Progress_OWTrt_H(X23,X18,X24,X19,X22)
      | ~ c_Progress_OWTrt_H(X23,X18,X24,X20,X17)
      | ~ c_Progress_OWTrt_H(X23,X18,X24,X21,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X23,X18,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_348])])]) ).

fof(c_0_624_625,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X22,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X21),X16))
      | ~ c_Progress_OWTrt_H(X22,X17,X23,X18,X16)
      | ~ c_Progress_OWTrt_H(X22,X17,X23,X19,X21)
      | ~ c_Progress_OWTrt_H(X22,X17,X23,X20,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X22,X17,X23,c_Expr_Oexp_OCond(X20,X19,X18,tc_List_Olist(tc_String_Ochar)),X16)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X22,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_349])])]) ).

fof(c_0_625_626,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X17),X22))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X23,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X22),X17))
      | ~ c_WellTypeRT_OWTrt(X23,X18,X24,X19,X22)
      | ~ c_WellTypeRT_OWTrt(X23,X18,X24,X20,X17)
      | ~ c_WellTypeRT_OWTrt(X23,X18,X24,X21,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X23,X18,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_350])])]) ).

fof(c_0_626_627,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X22,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X21),X16))
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X18,X16)
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X19,X21)
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X20,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X22,X17,X23,c_Expr_Oexp_OCond(X20,X19,X18,tc_List_Olist(tc_String_Ochar)),X16)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X22,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_351])])]) ).

fof(c_0_627_628,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X30,X25,c_Fun_Ofun__upd(X31,X28,c_Option_Ooption_OSome(c_Type_Oty_OClass(X32),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X26,X29)
      | ~ c_WellTypeRT_OWTrt(X30,X25,X31,c_Expr_Oexp_OTryCatch(X27,X32,X28,X26,tc_List_Olist(tc_String_Ochar)),X29) ),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_628_629,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X16))
      | ~ c_Progress_OWTrt_H(X21,X17,X22,X18,X16)
      | ~ c_Progress_OWTrt_H(X21,X17,X22,X19,X16)
      | ~ c_Progress_OWTrt_H(X21,X17,X22,X20,c_Type_Oty_OBoolean)
      | c_Progress_OWTrt_H(X21,X17,X22,c_Expr_Oexp_OCond(X20,X19,X18,tc_List_Olist(tc_String_Ochar)),X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_353])])]) ).

fof(c_0_629_630,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X16))
      | ~ c_WellTypeRT_OWTrt(X21,X17,X22,X18,X16)
      | ~ c_WellTypeRT_OWTrt(X21,X17,X22,X19,X16)
      | ~ c_WellTypeRT_OWTrt(X21,X17,X22,X20,c_Type_Oty_OBoolean)
      | c_WellTypeRT_OWTrt(X21,X17,X22,c_Expr_Oexp_OCond(X20,X19,X18,tc_List_Olist(tc_String_Ochar)),X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_354])])]) ).

fof(c_0_630_631,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_SmallStep_Oredp(X81,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X76,tc_List_Olist(tc_String_Ochar)),X82,X83,X80,tc_List_Olist(tc_String_Ochar)),X78,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X76,tc_List_Olist(tc_String_Ochar)),X82,X83,X79,tc_List_Olist(tc_String_Ochar)),X77)
      | ~ c_SmallStep_Oredp(X81,X80,X78,X79,X77) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_355])])]) ).

fof(c_0_631_632,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_SmallStep_Oredp(X81,c_Expr_Oexp_OFAss(X80,X82,X83,X79,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_OFAss(X78,X82,X83,X79,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_SmallStep_Oredp(X81,X80,X77,X78,X76) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_356])])]) ).

fof(c_0_632_633,plain,
    ! [X72,X73,X74,X75,X76,X77,X78,X79] :
      ( c_SmallStep_Oredp(X78,c_Expr_Oexp_OTryCatch(X76,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_OTryCatch(X74,X79,X77,X75,tc_List_Olist(tc_String_Ochar)),X72)
      | ~ c_SmallStep_Oredp(X78,X76,X73,X74,X72) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_357])])]) ).

fof(c_0_633_634,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_WellType_OWT(X29,X30,c_Expr_Oexp_OTryCatch(X26,X31,X27,X25,tc_List_Olist(tc_String_Ochar)),X28)
      | ~ c_Decl_Ois__class(X29,X31,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X29,c_Fun_Ofun__upd(X30,X27,c_Option_Ooption_OSome(c_Type_Oty_OClass(X31),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X25,X28)
      | ~ c_WellType_OWT(X29,X30,X26,X28) ),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_634_635,plain,
    ! [X76,X77,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)),X77)
      | ~ c_BigStep_Oeval(X83,X81,X78,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X77)
      | ~ c_BigStep_Oeval(X83,X82,X79,c_Expr_Oexp_OVal(X76,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_635_636,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( c_WellTypeRT_OWTrt(X29,X24,X30,c_Expr_Oexp_OBlock(X26,X28,X25,tc_List_Olist(tc_String_Ochar)),X27)
      | ~ c_WellTypeRT_OWTrt(X29,X24,c_Fun_Ofun__upd(X30,X26,c_Option_Ooption_OSome(X28,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_636_637,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_WellTypeRT_OWTrt(X80,X76,X82,c_Expr_Oexp_OFAss(X78,X81,X83,X77,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X80,X76,X82,X77,X79)
      | ~ c_WellTypeRT_OWTrt(X80,X76,X82,X78,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_361])])]) ).

fof(c_0_637_638,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_Progress_OWTrt_H(X80,X76,X82,c_Expr_Oexp_OFAss(X78,X81,X83,X77,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X80,X76,X82,X77,X79)
      | ~ c_Progress_OWTrt_H(X80,X76,X82,X78,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_362])])]) ).

fof(c_0_638_639,plain,
    ! [X81,X82,X83,X84,X85,X86,X87] :
      ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X81,X85,X84,X87,X86),X83,X82,X87,X86) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X81,X83,X82,X87,X86),X85,X84,X87,X86)
      | X85 = X83 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_363])])]) ).

fof(c_0_639_640,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_WellType_OWT(X29,c_Fun_Ofun__upd(X30,X27,c_Option_Ooption_OSome(c_Type_Oty_OClass(X31),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X25,X28)
      | ~ c_WellType_OWT(X29,X30,c_Expr_Oexp_OTryCatch(X26,X31,X27,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_640_641,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_WellTypeRT_OWTrt(X80,X77,X82,X78,c_Type_Oty_ONT)
      | X79 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X80,X77,X82,c_Expr_Oexp_OFAss(X78,X81,X83,X76,tc_List_Olist(tc_String_Ochar)),X79) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_365])])]) ).

fof(c_0_641_642,plain,
    ! [X82,X83,X84,X85,X86,X87,X88,X89] :
      ( c_in(c_Pair(X85,X84,X88,X88),X82,tc_prod(X88,X88))
      | c_in(c_Pair(X87,X86,X89,X89),X83,tc_prod(X89,X89))
      | ~ c_in(c_Pair(c_Pair(X87,X85,X89,X88),c_Pair(X86,X84,X89,X88),tc_prod(X89,X88),tc_prod(X89,X88)),c_Wellfounded_Olex__prod(X83,X82,X89,X88),tc_prod(tc_prod(X89,X88),tc_prod(X89,X88))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_366])])]) ).

fof(c_0_642_643,plain,
    ! [X46,X47,X48,X49,X50] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X49,X50),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X49,X48,X47,X46,X50),X48,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X49,X47,X50),X46,X48,tc_Value_Oval,tc_Type_Oty) ),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_643_644,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( X79 = c_Type_Oty_OVoid
      | X79 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X80,X77,X82,c_Expr_Oexp_OFAss(X78,X81,X83,X76,tc_List_Olist(tc_String_Ochar)),X79) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_368])])]) ).

fof(c_0_644_645,plain,
    ! [X82,X83,X84,X85,X86,X87,X88,X89] :
      ( X87 = X86
      | c_in(c_Pair(X87,X86,X89,X89),X83,tc_prod(X89,X89))
      | ~ c_in(c_Pair(c_Pair(X87,X85,X89,X88),c_Pair(X86,X84,X89,X88),tc_prod(X89,X88),tc_prod(X89,X88)),c_Wellfounded_Olex__prod(X83,X82,X89,X88),tc_prod(tc_prod(X89,X88),tc_prod(X89,X88))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_369])])]) ).

fof(c_0_645_646,plain,
    ! [X73,X74,X75,X76,X77,X78,X79,X80,X81] :
      ( c_BigStep_Oeval(X81,c_Expr_Oexp_OBinOp(X78,X80,X77,tc_List_Olist(tc_String_Ochar)),X76,c_Expr_Oexp_Othrow(X79,tc_List_Olist(tc_String_Ochar)),X74)
      | ~ c_BigStep_Oeval(X81,X77,X75,c_Expr_Oexp_Othrow(X79,tc_List_Olist(tc_String_Ochar)),X74)
      | ~ c_BigStep_Oeval(X81,X78,X76,c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X75) ),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_646_647,plain,
    ! [X76,X77,X78,X79,X80,X81,X82,X83] :
      ( c_BigStep_Oeval(X81,c_Expr_Oexp_OFAss(X80,X82,X83,X79,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X78,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X81,X80,X77,c_Expr_Oexp_Othrow(X78,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_371])])]) ).

fof(c_0_647_648,plain,
    ! [X51,X52,X53,X54,X55,X56,X57,X58] :
      ( c_BigStep_Oeval(X57,c_Expr_Oexp_OTryCatch(X55,X58,X56,X54,tc_List_Olist(tc_String_Ochar)),X53,c_Expr_Oexp_OVal(X51,tc_List_Olist(tc_String_Ochar)),X52)
      | ~ c_BigStep_Oeval(X57,X55,X53,c_Expr_Oexp_OVal(X51,tc_List_Olist(tc_String_Ochar)),X52) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_372])])]) ).

fof(c_0_648_649,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] :
      ( c_WellTypeRT_OWTrt(X22,X17,X23,c_Expr_Oexp_OBinOp(X19,c_Expr_Obop_OEq,X18,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X18,X20)
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_649_650,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] :
      ( c_Progress_OWTrt_H(X22,X17,X23,c_Expr_Oexp_OBinOp(X19,c_Expr_Obop_OEq,X18,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ 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_374]) ).

fof(c_0_650_651,plain,
    ! [X53,X54,X55,X56,X57,X58] :
      ( c_Map_Omap__le(c_Fun_Ofun__upd(X54,X56,X55,X58,tc_Option_Ooption(X57)),c_Fun_Ofun__upd(X53,X56,X55,X58,tc_Option_Ooption(X57)),X58,X57)
      | ~ c_Map_Omap__le(X54,X53,X58,X57) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_651_652,plain,
    ! [X46,X47,X48,X49,X50,X51] :
      ( c_List_Olist__all2(c_Conform_Oconf(X50,X47,X51),X46,X48,tc_Value_Oval,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X50,X51),X49,X48,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X50,X47,X51),X46,X49,tc_Value_Oval,tc_Type_Oty) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_652_653,plain,
    ! [X50,X51,X52,X53,X54,X55,X56,X57] :
      ( c_BigStep_Oeval(X57,c_Expr_Oexp_OSeq(X56,X55,tc_List_Olist(tc_String_Ochar)),X53,X54,X51)
      | ~ c_BigStep_Oeval(X57,X55,X52,X54,X51)
      | ~ c_BigStep_Oeval(X57,X56,X53,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X52) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_653_654,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_BigStep_Oeval(X77,c_Expr_Oexp_OWhile(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,X74,X72)
      | ~ c_BigStep_Oeval(X77,c_Expr_Oexp_OCond(X76,c_Expr_Oexp_OSeq(X75,c_Expr_Oexp_OWhile(X76,X75,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X73,X74,X72) ),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_654_655,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_379]) ).

fof(c_0_655_656,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_380]) ).

fof(c_0_656_657,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( c_WellTypeRT_OWTrt(X61,X57,X62,c_Expr_Oexp_OWhile(X58,X59,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X61,X57,X62,X59,X60)
      | ~ c_WellTypeRT_OWTrt(X61,X57,X62,X58,c_Type_Oty_OBoolean) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_657_658,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( c_Progress_OWTrt_H(X61,X57,X62,c_Expr_Oexp_OWhile(X58,X59,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X61,X57,X62,X59,X60)
      | ~ c_Progress_OWTrt_H(X61,X57,X62,X58,c_Type_Oty_OBoolean) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_658_659,plain,
    ! [X8,X9,X10,X11,X12] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X11,X12),X10,X8,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X11,X12),X9,X8,tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X11,X12),X10,X9,tc_Type_Oty,tc_Type_Oty) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_659_660,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_BigStep_Oeval(X77,c_Expr_Oexp_OCond(X76,c_Expr_Oexp_OSeq(X75,c_Expr_Oexp_OWhile(X76,X75,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X73,X74,X72)
      | ~ c_BigStep_Oeval(X77,c_Expr_Oexp_OWhile(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,X74,X72) ),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_660_661,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),X70,X68,X74,X73)
      | ~ c_in(c_Pair(X71,X69,X74,X73),X72,tc_prod(X74,X73)) ),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_661_662,plain,
    ! [X56,X57,X58,X59,X60,X61,X62] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X60,X62,X61),c_List_Olist_OCons(X59,X56,X62),c_List_Olist_OCons(X58,X57,X61),X62,X61)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X60,X62,X61),X56,X57,X62,X61)
      | ~ c_in(c_Pair(X59,X58,X62,X61),X60,tc_prod(X62,X61)) ),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_662_663,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),X70,X68,X74,X73)
      | ~ c_in(c_Pair(X71,X69,X74,X73),X72,tc_prod(X74,X73)) ),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_663_664,plain,
    ! [X24,X25,X26,X27,X28,X29,X30] :
      ( hAPP(X30,X26) != c_Option_Ooption_OSome(X28,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X29,X24,X30,c_Expr_Oexp_OLAss(X26,X25,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X29,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X27),X28))
      | ~ c_WellTypeRT_OWTrt(X29,X24,X30,X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_664_665,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_WellType_OWT(X29,X30,X26,X28)
      | ~ c_WellType_OWT(X29,X30,c_Expr_Oexp_OTryCatch(X26,X31,X27,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_389])])]) ).

fof(c_0_665_666,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_Decl_Ois__class(X29,X31,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X29,X30,c_Expr_Oexp_OTryCatch(X26,X31,X27,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_666_667,plain,
    ! [X84,X85,X86,X87,X88,X89,X90] :
      ( c_in(c_Pair(c_Pair(X86,X84,X90,X89),c_Pair(X86,X85,X90,X89),tc_prod(X90,X89),tc_prod(X90,X89)),c_Recdef_Osame__fst(X88,X87,X90,X89),tc_prod(tc_prod(X90,X89),tc_prod(X90,X89)))
      | ~ c_in(c_Pair(X84,X85,X89,X89),hAPP(X87,X86),tc_prod(X89,X89))
      | ~ hBOOL(hAPP(X88,X86)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_391])])]) ).

fof(c_0_667_668,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_SmallStep_Oredp(X79,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X78,X77,tc_List_Olist(tc_String_Ochar)),X75,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X73,tc_List_Olist(tc_String_Ochar)),X78,X76,tc_List_Olist(tc_String_Ochar)),X74)
      | ~ c_SmallStep_Oredp(X79,X77,X75,X76,X74) ),
    inference(variable_rename,[status(thm)],[c_0_392]) ).

fof(c_0_668_669,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( X78 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X79,X81,c_Expr_Oexp_OFAss(X77,X80,X82,X76,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_393])])]) ).

fof(c_0_669_670,plain,
    ! [X82,X83,X84,X85,X86,X87,X88,X89] :
      ( c_in(c_Pair(c_Pair(X87,X85,X89,X88),c_Pair(X86,X84,X89,X88),tc_prod(X89,X88),tc_prod(X89,X88)),c_Wellfounded_Olex__prod(X83,X82,X89,X88),tc_prod(tc_prod(X89,X88),tc_prod(X89,X88)))
      | ~ c_in(c_Pair(X87,X86,X89,X89),X83,tc_prod(X89,X89)) ),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_670_671,plain,
    ! [X82,X83,X84,X85,X86,X87,X88] :
      ( c_in(c_Pair(c_Pair(X82,X86,X88,X87),c_Pair(X82,X85,X88,X87),tc_prod(X88,X87),tc_prod(X88,X87)),c_Wellfounded_Olex__prod(X84,X83,X88,X87),tc_prod(tc_prod(X88,X87),tc_prod(X88,X87)))
      | ~ c_in(c_Pair(X86,X85,X87,X87),X83,tc_prod(X87,X87)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_395])])]) ).

fof(c_0_671_672,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_SmallStep_Oredp(X80,c_Expr_Oexp_OFAcc(X79,X81,X82,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_OFAcc(X78,X81,X82,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_SmallStep_Oredp(X80,X79,X77,X78,X76) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_396])])]) ).

fof(c_0_672_673,plain,
    ! [X85,X86,X87,X88,X89,X90,X91] :
      ( c_SmallStep_Oredp(X90,c_Expr_Oexp_OCall(X89,X91,X87,tc_List_Olist(tc_String_Ochar)),X86,c_Expr_Oexp_OCall(X88,X91,X87,tc_List_Olist(tc_String_Ochar)),X85)
      | ~ c_SmallStep_Oredp(X90,X89,X86,X88,X85) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_397])])]) ).

fof(c_0_673_674,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_SmallStep_Oredp(X79,c_Expr_Oexp_OBinOp(X77,X78,X76,tc_List_Olist(tc_String_Ochar)),X74,c_Expr_Oexp_OBinOp(X75,X78,X76,tc_List_Olist(tc_String_Ochar)),X73)
      | ~ c_SmallStep_Oredp(X79,X77,X74,X75,X73) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_674_675,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( c_SmallStep_Oredp(X78,c_Expr_Oexp_OCond(X77,X76,X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_OCond(X74,X76,X75,tc_List_Olist(tc_String_Ochar)),X72)
      | ~ c_SmallStep_Oredp(X78,X77,X73,X74,X72) ),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_675_676,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( hAPP(c_Fun_Ofun__upd(X76,X78,c_Option_Ooption_OSome(X77,X80),X79,tc_Option_Ooption(X80)),X75) != c_Option_Ooption_OSome(X74,X80)
      | hAPP(X76,X75) = c_Option_Ooption_OSome(X74,X80)
      | X77 = X74 ),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_676_677,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( hAPP(c_Fun_Ofun__upd(X76,X78,c_Option_Ooption_OSome(X77,X80),X79,tc_Option_Ooption(X80)),X75) != c_Option_Ooption_OSome(X74,X80)
      | hAPP(X76,X75) = c_Option_Ooption_OSome(X74,X80)
      | X75 = X78 ),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_677_678,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X20),X16))
      | ~ c_WellType_OWT(X21,X22,X17,X16)
      | ~ c_WellType_OWT(X21,X22,X18,X20)
      | ~ c_WellType_OWT(X21,X22,X19,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X21,X22,c_Expr_Oexp_OCond(X19,X18,X17,tc_List_Olist(tc_String_Ochar)),X16)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X20)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_402])])]) ).

fof(c_0_678_679,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X22,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X17),X21))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X22,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X21),X17))
      | ~ c_WellType_OWT(X22,X23,X18,X21)
      | ~ c_WellType_OWT(X22,X23,X19,X17)
      | ~ c_WellType_OWT(X22,X23,X20,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X22,X23,c_Expr_Oexp_OCond(X20,X19,X18,tc_List_Olist(tc_String_Ochar)),X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_403])])]) ).

fof(c_0_679_680,plain,
    ! [X75,X76,X77,X78,X79,X80] :
      ( X78 = X75
      | hAPP(c_Fun_Ofun__upd(X77,X76,c_Option_Ooption_OSome(X78,X79),X80,tc_Option_Ooption(X79)),X76) != c_Option_Ooption_OSome(X75,X79) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_404])])]) ).

fof(c_0_680_681,plain,
    ! [X88,X89,X90,X91,X92,X93,X94] :
      ( c_Fun_Ofun__upd(X91,X92,c_Option_Ooption_OSome(X89,X93),X94,tc_Option_Ooption(X93)) != c_Fun_Ofun__upd(X90,X92,c_Option_Ooption_OSome(X88,X93),X94,tc_Option_Ooption(X93))
      | X89 = X88 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_405])])]) ).

fof(c_0_681_682,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_WellTypeRT_OWTrt(X24,X19,X25,X22,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X24,X19,X25,c_Expr_Oexp_OCond(X22,X21,X20,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_682_683,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( c_WellType_OWT(X23,X24,X19,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X24,X23,X22,X20,X19))
      | ~ c_WellType_OWT(X23,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_683_684,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( c_WellType_OWT(X23,X24,X20,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X24,X23,X22,X20,X19))
      | ~ c_WellType_OWT(X23,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_684_685,plain,
    ! [X80,X81,X82,X83,X84,X85,X86,X87,X88] :
      ( c_Expr_Oexp_OFAss(X87,X83,X81,X85,X88) != c_Expr_Oexp_OFAss(X86,X82,X80,X84,X88)
      | X87 = X86 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_409])])]) ).

fof(c_0_685_686,plain,
    ! [X80,X81,X82,X83,X84,X85,X86,X87,X88] :
      ( c_Expr_Oexp_OFAss(X87,X83,X81,X85,X88) != c_Expr_Oexp_OFAss(X86,X82,X80,X84,X88)
      | X83 = X82 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_410])])]) ).

fof(c_0_686_687,plain,
    ! [X80,X81,X82,X83,X84,X85,X86,X87,X88] :
      ( c_Expr_Oexp_OFAss(X87,X83,X81,X85,X88) != c_Expr_Oexp_OFAss(X86,X82,X80,X84,X88)
      | X81 = X80 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_411])])]) ).

fof(c_0_687_688,plain,
    ! [X80,X81,X82,X83,X84,X85,X86,X87,X88] :
      ( c_Expr_Oexp_OFAss(X87,X83,X81,X85,X88) != c_Expr_Oexp_OFAss(X86,X82,X80,X84,X88)
      | X85 = X84 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_412])])]) ).

fof(c_0_688_689,plain,
    ! [X38,X39,X40,X41,X42,X43,X44,X45,X46] :
      ( c_Expr_Oexp_OTryCatch(X43,X39,X45,X41,X46) != c_Expr_Oexp_OTryCatch(X42,X38,X44,X40,X46)
      | X41 = X40 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_413])])]) ).

fof(c_0_689_690,plain,
    ! [X38,X39,X40,X41,X42,X43,X44,X45,X46] :
      ( c_Expr_Oexp_OTryCatch(X43,X39,X45,X41,X46) != c_Expr_Oexp_OTryCatch(X42,X38,X44,X40,X46)
      | X45 = X44 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_414])])]) ).

fof(c_0_690_691,plain,
    ! [X38,X39,X40,X41,X42,X43,X44,X45,X46] :
      ( c_Expr_Oexp_OTryCatch(X43,X39,X45,X41,X46) != c_Expr_Oexp_OTryCatch(X42,X38,X44,X40,X46)
      | X39 = X38 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_415])])]) ).

fof(c_0_691_692,plain,
    ! [X38,X39,X40,X41,X42,X43,X44,X45,X46] :
      ( c_Expr_Oexp_OTryCatch(X43,X39,X45,X41,X46) != c_Expr_Oexp_OTryCatch(X42,X38,X44,X40,X46)
      | X43 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_416])])]) ).

fof(c_0_692_693,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),X70,X68,X74,X73)
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_693_694,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_418])])]) ).

fof(c_0_694_695,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_BigStep_Oeval(X80,c_Expr_Oexp_OFAcc(X79,X81,X82,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X78,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X80,X79,X77,c_Expr_Oexp_Othrow(X78,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_419])])]) ).

fof(c_0_695_696,plain,
    ! [X60,X61,X62,X63,X64,X65,X66] :
      ( c_BigStep_Oeval(X66,c_Expr_Oexp_OCond(X65,X64,X63,tc_List_Olist(tc_String_Ochar)),X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60)
      | ~ c_BigStep_Oeval(X66,X65,X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_696_697,plain,
    ! [X73,X74,X75,X76,X77,X78,X79] :
      ( c_BigStep_Oeval(X79,c_Expr_Oexp_OBinOp(X76,X78,X75,tc_List_Olist(tc_String_Ochar)),X74,c_Expr_Oexp_Othrow(X77,tc_List_Olist(tc_String_Ochar)),X73)
      | ~ c_BigStep_Oeval(X79,X76,X74,c_Expr_Oexp_Othrow(X77,tc_List_Olist(tc_String_Ochar)),X73) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_697_698,plain,
    ! [X56,X57,X58,X59,X60,X61] :
      ( c_List_Olist__all2(c_TypeRel_Owiden(X60,X61),c_List_Olist_OCons(X59,X56,tc_Type_Oty),c_List_Olist_OCons(X58,X57,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
      | ~ c_List_Olist__all2(c_TypeRel_Owiden(X60,X61),X56,X57,tc_Type_Oty,tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X60,X61),X59),X58)) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_698_699,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_WellTypeRT_OWTrt(X79,X76,X81,c_Expr_Oexp_OFAcc(X77,X80,X82,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_WellTypeRT_OWTrt(X79,X76,X81,X77,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_423])])]) ).

fof(c_0_699_700,plain,
    ! [X76,X77,X78,X79,X80,X81,X82] :
      ( c_Progress_OWTrt_H(X79,X76,X81,c_Expr_Oexp_OFAcc(X77,X80,X82,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_Progress_OWTrt_H(X79,X76,X81,X77,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_424])])]) ).

fof(c_0_700_701,plain,
    ! [X26,X27,X28,X29,X30,X31] :
      ( c_WellTypeRT_OWTrt(X29,X26,X30,X27,X28)
      | ~ c_Map_Omap__le(X31,X30,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,X27,X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_425])])]) ).

fof(c_0_701_702,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_List_Olist__all2(X72,c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73)
      | ~ c_List_Olist__all2(X72,X70,X68,X74,X73)
      | ~ hBOOL(hAPP(hAPP(X72,X71),X69)) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_702_703,plain,
    ! [X56,X57,X58,X59,X60,X61,X62] :
      ( c_List_Olist__all2(X60,c_List_Olist_OCons(X59,X56,X62),c_List_Olist_OCons(X58,X57,X61),X62,X61)
      | ~ c_List_Olist__all2(X60,X56,X57,X62,X61)
      | ~ hBOOL(hAPP(hAPP(X60,X59),X58)) ),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_703_704,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_List_Olist__all2(X72,c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73)
      | ~ c_List_Olist__all2(X72,X70,X68,X74,X73)
      | ~ hBOOL(hAPP(hAPP(X72,X71),X69)) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_704_705,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_List_Olist__all2(X72,X70,X68,X74,X73)
      | ~ c_List_Olist__all2(X72,c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73) ),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_705_706,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( c_Progress_OWTrt_H(X28,X25,X29,c_Expr_Oexp_OCast(X30,X26,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X30))
      | ~ c_Decl_Ois__class(X28,X30,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Type_Ois__refT(X27)
      | ~ c_Progress_OWTrt_H(X28,X25,X29,X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_706_707,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( c_WellTypeRT_OWTrt(X28,X25,X29,c_Expr_Oexp_OCast(X30,X26,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X30))
      | ~ c_Decl_Ois__class(X28,X30,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Type_Ois__refT(X27)
      | ~ c_WellTypeRT_OWTrt(X28,X25,X29,X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_707_708,plain,
    ! [X45,X46,X47,X48,X49,X50] :
      ( c_List_Olist__all2(c_Conform_Oconf(X49,X46,X50),X45,X48,tc_Value_Oval,tc_Type_Oty)
      | ~ c_Objects_Ohext(X47,X46)
      | ~ c_List_Olist__all2(c_Conform_Oconf(X49,X47,X50),X45,X48,tc_Value_Oval,tc_Type_Oty) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_708_709,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_SmallStep_Oredp(X77,c_Expr_Oexp_OLAss(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_OLAss(X76,X74,tc_List_Olist(tc_String_Ochar)),X72)
      | ~ c_SmallStep_Oredp(X77,X75,X73,X74,X72) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_709_710,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_SmallStep_Oredp(X76,c_Expr_Oexp_OCast(X77,X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_OCast(X77,X74,tc_List_Olist(tc_String_Ochar)),X72)
      | ~ c_SmallStep_Oredp(X76,X75,X73,X74,X72) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_434])])]) ).

fof(c_0_710_711,plain,
    ! [X72,X73,X74,X75,X76,X77] :
      ( c_SmallStep_Oredp(X77,c_Expr_Oexp_OSeq(X76,X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_OSeq(X74,X75,tc_List_Olist(tc_String_Ochar)),X72)
      | ~ c_SmallStep_Oredp(X77,X76,X73,X74,X72) ),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_711_712,plain,
    ! [X60,X61,X62,X63,X64,X65] :
      ( c_BigStep_Oeval(X65,c_Expr_Oexp_OLAss(X64,X63,tc_List_Olist(tc_String_Ochar)),X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60)
      | ~ c_BigStep_Oeval(X65,X63,X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_712_713,plain,
    ! [X50,X51,X52,X53,X54,X55] :
      ( c_BigStep_Oeval(X55,c_Expr_Oexp_OSeq(X53,X52,tc_List_Olist(tc_String_Ochar)),X51,c_Expr_Oexp_Othrow(X54,tc_List_Olist(tc_String_Ochar)),X50)
      | ~ c_BigStep_Oeval(X55,X53,X51,c_Expr_Oexp_Othrow(X54,tc_List_Olist(tc_String_Ochar)),X50) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_713_714,plain,
    ! [X60,X61,X62,X63,X64,X65] :
      ( c_BigStep_Oeval(X65,c_Expr_Oexp_OWhile(X63,X64,tc_List_Olist(tc_String_Ochar)),X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60)
      | ~ c_BigStep_Oeval(X65,X63,X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_714_715,plain,
    ! [X60,X61,X62,X63,X64,X65] :
      ( c_BigStep_Oeval(X64,c_Expr_Oexp_OCast(X65,X63,tc_List_Olist(tc_String_Ochar)),X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60)
      | ~ c_BigStep_Oeval(X64,X63,X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_439])])]) ).

fof(c_0_715_716,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_BigStep_Oeval(X52,c_Expr_Oexp_OCast(X53,X51,tc_List_Olist(tc_String_Ochar)),X50,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X49)
      | ~ c_BigStep_Oeval(X52,X51,X50,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X49) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_440])])]) ).

fof(c_0_716_717,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( c_WellTypeRT_OWTrt(X61,X57,X62,X58,c_Type_Oty_OBoolean)
      | ~ c_WellTypeRT_OWTrt(X61,X57,X62,c_Expr_Oexp_OWhile(X58,X59,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_717_718,plain,
    ! [X20,X21,X22,X23,X24] :
      ( c_Objects_Otypeof__h(X21,X20) = c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X23,X22,X21,X20,X24),tc_Type_Oty)
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X23,X21,X24),X20),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_718_719,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_BigStep_Oeval(X64,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60)
      | ~ c_BigStep_Oeval(X64,X63,X61,c_Expr_Oexp_Othrow(X62,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_719_720,plain,
    ! [X72,X73,X74,X75,X76] :
      ( c_SmallStep_Oredp(X76,c_Expr_Oexp_Othrow(X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_Othrow(X74,tc_List_Olist(tc_String_Ochar)),X72)
      | ~ c_SmallStep_Oredp(X76,X75,X73,X74,X72) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_720_721,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X20,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X16),X16))
      | ~ c_WellType_OWT(X20,X21,X17,X16)
      | ~ c_WellType_OWT(X20,X21,X18,X16)
      | ~ c_WellType_OWT(X20,X21,X19,c_Type_Oty_OBoolean)
      | c_WellType_OWT(X20,X21,c_Expr_Oexp_OCond(X19,X18,X17,tc_List_Olist(tc_String_Ochar)),X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_445])])]) ).

fof(c_0_721_722,plain,
    ! [X94,X95,X96,X97,X98,X99] :
      ( c_WellTypeRT_OWTrt(X98,X94,X99,c_Expr_Oexp_Othrow(X95,tc_List_Olist(tc_String_Ochar)),X97)
      | ~ c_Type_Ois__refT(X96)
      | ~ c_WellTypeRT_OWTrt(X98,X94,X99,X95,X96) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_722_723,plain,
    ! [X94,X95,X96,X97,X98,X99] :
      ( c_Progress_OWTrt_H(X98,X94,X99,c_Expr_Oexp_Othrow(X95,tc_List_Olist(tc_String_Ochar)),X97)
      | ~ c_Type_Ois__refT(X96)
      | ~ c_Progress_OWTrt_H(X98,X94,X99,X95,X96) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_723_724,plain,
    ! [X59,X60,X61,X62,X63,X64] :
      ( c_Conform_Olconf(X62,X60,X59,X63,X64)
      | ~ c_Objects_Ohext(X61,X60)
      | ~ c_Conform_Olconf(X62,X61,X59,X63,X64) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_724_725,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( c_WellTypeRT_OWTrt(X23,X19,X24,X21,X22)
      | ~ c_Objects_Ohext(X20,X19)
      | ~ c_WellTypeRT_OWTrt(X23,X20,X24,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_725_726,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_Progress_OWTrt_H(X22,X19,X23,X20,X21)
      | ~ c_WellTypeRT_OWTrt(X22,X19,X23,X20,X21) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_726_727,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_WellTypeRT_OWTrt(X22,X19,X23,X20,X21)
      | ~ c_Progress_OWTrt_H(X22,X19,X23,X20,X21) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_727_728,plain,
    ! [X9] :
      ( v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X9),v_T_092_060_094isub_0622____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_452])])]) ).

fof(c_0_728_729,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_in(c_Pair(X71,X69,X74,X73),X72,tc_prod(X74,X73))
      | ~ c_List_Olist__all2(c_Aux_Ofun__of(X72,X74,X73),c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_729_730,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( c_WellType_OWT(X21,X22,c_Expr_Oexp_OBinOp(X18,c_Expr_Obop_OEq,X17,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X20),X19))
      | ~ c_WellType_OWT(X21,X22,X17,X19)
      | ~ c_WellType_OWT(X21,X22,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_730_731,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( c_WellType_OWT(X21,X22,c_Expr_Oexp_OBinOp(X18,c_Expr_Obop_OEq,X17,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X19),X20))
      | ~ c_WellType_OWT(X21,X22,X17,X19)
      | ~ c_WellType_OWT(X21,X22,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_731_732,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_Map_Omap__le(c_Map_Omap__add(X55,X54,X57,X56),X53,X57,X56)
      | ~ c_Map_Omap__le(X55,c_Map_Omap__add(X55,X54,X57,X56),X57,X56)
      | ~ c_Map_Omap__le(X54,X53,X57,X56)
      | ~ c_Map_Omap__le(X55,X53,X57,X56) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_732_733,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( hAPP(X76,X75) != c_Option_Ooption_OSome(X74,X80)
      | X75 = X78
      | hAPP(c_Fun_Ofun__upd(X76,X78,c_Option_Ooption_OSome(X77,X80),X79,tc_Option_Ooption(X80)),X75) = c_Option_Ooption_OSome(X74,X80) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_733_734,plain,
    ! [X82,X83,X84,X85,X86] :
      ( c_in(c_Pair(X85,X83,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86))
      | ~ c_in(c_Pair(X84,X83,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86))
      | ~ c_in(c_Pair(X85,X84,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86)) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_734_735,plain,
    ! [X82,X83,X84,X85,X86] :
      ( c_in(c_Pair(X85,X83,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86))
      | ~ c_in(c_Pair(X84,X83,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86))
      | ~ c_in(c_Pair(X85,X84,X86,X86),X82,tc_prod(X86,X86)) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_735_736,plain,
    ! [X82,X83,X84,X85,X86] :
      ( c_in(c_Pair(X85,X83,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86))
      | ~ c_in(c_Pair(X84,X83,X86,X86),X82,tc_prod(X86,X86))
      | ~ c_in(c_Pair(X85,X84,X86,X86),c_Transitive__Closure_Ortrancl(X82,X86),tc_prod(X86,X86)) ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_736_737,plain,
    ! [X90,X91,X92,X93,X94,X95] :
      ( hAPP(c_Fun_Ofun__upd(X93,X92,X91,X94,X95),X90) = hAPP(X93,X90)
      | X90 = X92 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_461])])]) ).

fof(c_0_737_738,plain,
    ! [X90,X91,X92,X93,X94,X95] :
      ( hAPP(c_Fun_Ofun__upd(X93,X92,X91,X95,X94),X90) = hAPP(X93,X90)
      | X90 = X92 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_462])])]) ).

fof(c_0_738_739,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( hBOOL(hAPP(hAPP(X72,X71),X69))
      | ~ c_List_Olist__all2(X72,c_List_Olist_OCons(X71,X70,X74),c_List_Olist_OCons(X69,X68,X73),X74,X73) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_463])])]) ).

fof(c_0_739_740,plain,
    ! [X39,X40,X41,X42,X43,X44] :
      ( c_Decl_Ois__class(X42,X44,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X42,X39,X43,c_Expr_Oexp_OCast(X44,X40,tc_List_Olist(tc_String_Ochar)),X41) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_740_741,plain,
    ! [X39,X40,X41,X42,X43,X44] :
      ( X41 = c_Type_Oty_OClass(X44)
      | ~ c_WellTypeRT_OWTrt(X42,X39,X43,c_Expr_Oexp_OCast(X44,X40,tc_List_Olist(tc_String_Ochar)),X41) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_741_742,plain,
    ! [X25,X26,X27,X28,X29] :
      ( c_Decl_Ois__class(X27,X29,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X27,X25,X28,c_Expr_Oexp_Onew(X29,tc_List_Olist(tc_String_Ochar)),X26) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_742_743,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( X23 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X24,X21,X25,c_Expr_Oexp_OLAss(X20,X22,tc_List_Olist(tc_String_Ochar)),X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_467])])]) ).

fof(c_0_743_744,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( X60 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X61,X57,X62,c_Expr_Oexp_OWhile(X58,X59,tc_List_Olist(tc_String_Ochar)),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_468])])]) ).

fof(c_0_744_745,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( X27 = c_Type_Oty_OVoid
      | ~ c_Progress_OWTrt_H(X28,X24,X29,c_Expr_Oexp_OLAss(X26,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_469])])]) ).

fof(c_0_745_746,plain,
    ! [X72,X73,X74,X75,X76] :
      ( X75 = c_Expr_Oexp_OVal(X72,tc_List_Olist(tc_String_Ochar))
      | ~ c_BigStep_Oeval(X76,c_Expr_Oexp_OVal(X72,tc_List_Olist(tc_String_Ochar)),X74,X75,X73) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_470])])]) ).

fof(c_0_746_747,plain,
    ! [X25,X26,X27,X28,X29] :
      ( X26 = c_Type_Oty_OClass(X29)
      | ~ c_WellTypeRT_OWTrt(X27,X25,X28,c_Expr_Oexp_Onew(X29,tc_List_Olist(tc_String_Ochar)),X26) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_747_748,plain,
    ! [X72,X73,X74,X75,X76] :
      ( X73 = X74
      | ~ c_BigStep_Oeval(X76,c_Expr_Oexp_OVal(X72,tc_List_Olist(tc_String_Ochar)),X74,X75,X73) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_472])])]) ).

fof(c_0_748_749,plain,
    ! [X68,X69,X70,X71,X72] :
      ( c_Fun_Ofun__upd(X70,X69,X68,X72,X71) != X70
      | hAPP(X70,X69) = X68 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_473])])]) ).

fof(c_0_749_750,plain,
    ! [X64,X65,X66] :
      ( X65 = X64
      | ~ c_List_Olist__all2(c_fequal(X66),X65,X64,X66,X66) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_474])])]) ).

fof(c_0_750_751,plain,
    ! [X53,X54,X55,X56] :
      ( c_Map_Omap__add(X54,X53,X56,X55) = c_Map_Omap__add(X53,X54,X56,X55)
      | ~ c_Map_Omap__le(X54,c_Map_Omap__add(X54,X53,X56,X55),X56,X55) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_751_752,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X25,X22,X26),X21),X23))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X25,X26),X24),X23))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X25,X22,X26),X21),X24)) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_752_753,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_WellTypeRT_OWTrt(X22,X19,X23,X20,X21)
      | ~ c_WellType_OWT(X22,X23,X20,X21) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_753_754,plain,
    ! [X53,X54,X55,X56] :
      ( c_Map_Omap__add(X54,X53,X56,X55) != c_Map_Omap__add(X53,X54,X56,X55)
      | c_Map_Omap__le(X54,c_Map_Omap__add(X54,X53,X56,X55),X56,X55) ),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_754_755,plain,
    ! [X25,X26,X27,X28] :
      ( c_WellTypeRT_OWTrt(X26,X25,X27,c_Expr_Oexp_Onew(X28,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X28))
      | ~ c_Decl_Ois__class(X26,X28,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_479]) ).

fof(c_0_755_756,plain,
    ! [X25,X26,X27,X28] :
      ( c_Progress_OWTrt_H(X26,X25,X27,c_Expr_Oexp_Onew(X28,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X28))
      | ~ c_Decl_Ois__class(X26,X28,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_480]) ).

fof(c_0_756_757,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( c_WellType_OWT(X23,X24,X21,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X23,X24,c_Expr_Oexp_OCond(X21,X20,X19,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_757_758,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_Map_Omap__le(X54,X53,X57,X56)
      | ~ c_Map_Omap__le(c_Map_Omap__add(X55,X54,X57,X56),X53,X57,X56) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_758_759,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X24,X21,X25),X20),X23))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X24,X22,X25),X20),X23))
      | ~ c_Objects_Ohext(X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_759_760,plain,
    ! [X92,X93,X94,X95,X96] :
      ( hAPP(X93,X94) != c_Option_Ooption_OSome(X92,X96)
      | c_Fun_Ofun__upd(X93,X94,c_Option_Ooption_OSome(X92,X96),X95,tc_Option_Ooption(X96)) = X93 ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_760_761,plain,
    ! [X20,X21,X22,X23,X24] :
      ( c_Objects_Otypeof__h(X21,X20) != c_Option_Ooption_OSome(X22,tc_Type_Oty)
      | c_WellTypeRT_OWTrt(X23,X21,X24,c_Expr_Oexp_OVal(X20,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_485])])]) ).

fof(c_0_761_762,plain,
    ! [X20,X21,X22,X23,X24] :
      ( c_Objects_Otypeof__h(X21,X20) != c_Option_Ooption_OSome(X22,tc_Type_Oty)
      | c_Progress_OWTrt_H(X23,X21,X24,c_Expr_Oexp_OVal(X20,tc_List_Olist(tc_String_Ochar)),X22) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_486])])]) ).

fof(c_0_762_763,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_487]) ).

fof(c_0_763_764,plain,
    ! [X57,X58,X59,X60,X61] :
      ( c_WellType_OWT(X60,X61,c_Expr_Oexp_OWhile(X57,X58,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X60,X61,X58,X59)
      | ~ c_WellType_OWT(X60,X61,X57,c_Type_Oty_OBoolean) ),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_764_765,plain,
    ! [X26,X27,X28,X29,X30] :
      ( c_WellType_OWT(X28,X29,X26,X27)
      | ~ c_Map_Omap__le(X30,X29,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellType_OWT(X28,X30,X26,X27) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_489])])]) ).

fof(c_0_765_766,plain,
    ! [X63,X64,X65,X66,X67] :
      ( c_Map_Omap__le(X65,X63,X67,X66)
      | ~ c_Map_Omap__le(X64,X63,X67,X66)
      | ~ c_Map_Omap__le(X65,X64,X67,X66) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_766_767,plain,
    ! [X19,X20,X21,X22] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,X22),c_Type_Oty_ONT),X20))
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X21,X19,X22),c_Value_Oval_ONull),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_767_768,plain,
    ! [X92,X93,X94,X95,X96,X97] :
      ( hAPP(c_Map_Omap__add(X94,X93,X96,X97),X95) != c_Option_Ooption_OSome(X92,X97)
      | hAPP(X94,X95) = c_Option_Ooption_OSome(X92,X97)
      | hAPP(X93,X95) = c_Option_Ooption_OSome(X92,X97) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_768_769,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( c_Objects_Otypeof__h(X22,X21) != c_Option_Ooption_OSome(X20,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X24,X22,X25),X21),X23))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X24,X25),X20),X23)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_493])])]) ).

fof(c_0_769_770,plain,
    ! [X57,X58,X59,X60,X61] :
      ( c_WellType_OWT(X60,X61,X57,c_Type_Oty_OBoolean)
      | ~ c_WellType_OWT(X60,X61,c_Expr_Oexp_OWhile(X57,X58,tc_List_Olist(tc_String_Ochar)),X59) ),
    inference(variable_rename,[status(thm)],[c_0_494]) ).

fof(c_0_770_771,plain,
    ! [X20,X21,X22,X23] :
      ( X20 = c_Value_Oval_ONull
      | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X22,X21,X23),X20),c_Type_Oty_ONT)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_495])])]) ).

fof(c_0_771_772,plain,
    ! [X19,X20,X21,X22] :
      ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X21,X19,X22),c_Value_Oval_ONull),X20))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,X22),c_Type_Oty_ONT),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_772_773,plain,
    ! [X53,X54,X55,X56] :
      ( X54 = X53
      | ~ c_Map_Omap__le(X53,X54,X56,X55)
      | ~ c_Map_Omap__le(X54,X53,X56,X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_497])])]) ).

fof(c_0_773_774,plain,
    ! [X80,X81,X82,X83,X84,X85,X86] :
      ( c_Expr_Oexp_OFAcc(X85,X83,X81,X86) != c_Expr_Oexp_OFAcc(X84,X82,X80,X86)
      | X81 = X80 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_498])])]) ).

fof(c_0_774_775,plain,
    ! [X80,X81,X82,X83,X84,X85,X86] :
      ( c_Expr_Oexp_OFAcc(X85,X83,X81,X86) != c_Expr_Oexp_OFAcc(X84,X82,X80,X86)
      | X83 = X82 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_499])])]) ).

fof(c_0_775_776,plain,
    ! [X80,X81,X82,X83,X84,X85,X86] :
      ( c_Expr_Oexp_OFAcc(X85,X83,X81,X86) != c_Expr_Oexp_OFAcc(X84,X82,X80,X86)
      | X85 = X84 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_500])])]) ).

fof(c_0_776_777,plain,
    ! [X96,X97,X98,X99,X100,X101,X102] :
      ( c_Expr_Oexp_OBlock(X101,X97,X99,X102) != c_Expr_Oexp_OBlock(X100,X96,X98,X102)
      | X99 = X98 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_501])])]) ).

fof(c_0_777_778,plain,
    ! [X96,X97,X98,X99,X100,X101,X102] :
      ( c_Expr_Oexp_OBlock(X101,X97,X99,X102) != c_Expr_Oexp_OBlock(X100,X96,X98,X102)
      | X97 = X96 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_502])])]) ).

fof(c_0_778_779,plain,
    ! [X96,X97,X98,X99,X100,X101,X102] :
      ( c_Expr_Oexp_OBlock(X101,X97,X99,X102) != c_Expr_Oexp_OBlock(X100,X96,X98,X102)
      | X101 = X100 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_503])])]) ).

fof(c_0_779_780,plain,
    ! [X80,X81,X82,X83,X84,X85,X86] :
      ( c_Expr_Oexp_OCall(X85,X83,X81,X86) != c_Expr_Oexp_OCall(X84,X82,X80,X86)
      | X85 = X84 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_504])])]) ).

fof(c_0_780_781,plain,
    ! [X80,X81,X82,X83,X84,X85,X86] :
      ( c_Expr_Oexp_OCall(X85,X83,X81,X86) != c_Expr_Oexp_OCall(X84,X82,X80,X86)
      | X83 = X82 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_505])])]) ).

fof(c_0_781_782,plain,
    ! [X80,X81,X82,X83,X84,X85,X86] :
      ( c_Expr_Oexp_OCall(X85,X83,X81,X86) != c_Expr_Oexp_OCall(X84,X82,X80,X86)
      | X81 = X80 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_506])])]) ).

fof(c_0_782_783,plain,
    ! [X89,X90,X91,X92,X93,X94,X95] :
      ( c_Expr_Oexp_OBinOp(X92,X94,X90,X95) != c_Expr_Oexp_OBinOp(X91,X93,X89,X95)
      | X90 = X89 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_507])])]) ).

fof(c_0_783_784,plain,
    ! [X89,X90,X91,X92,X93,X94,X95] :
      ( c_Expr_Oexp_OBinOp(X92,X94,X90,X95) != c_Expr_Oexp_OBinOp(X91,X93,X89,X95)
      | X94 = X93 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_508])])]) ).

fof(c_0_784_785,plain,
    ! [X89,X90,X91,X92,X93,X94,X95] :
      ( c_Expr_Oexp_OBinOp(X92,X94,X90,X95) != c_Expr_Oexp_OBinOp(X91,X93,X89,X95)
      | X92 = X91 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_509])])]) ).

fof(c_0_785_786,plain,
    ! [X44,X45,X46,X47,X48,X49] :
      ( c_Pair(X47,X45,X49,X48) != c_Pair(X46,X44,X49,X48)
      | X47 = X46 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_510])])]) ).

fof(c_0_786_787,plain,
    ! [X44,X45,X46,X47,X48,X49] :
      ( c_Pair(X47,X45,X49,X48) != c_Pair(X46,X44,X49,X48)
      | X45 = X44 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_511])])]) ).

fof(c_0_787_788,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( c_Expr_Oexp_OCond(X46,X44,X42,X47) != c_Expr_Oexp_OCond(X45,X43,X41,X47)
      | X42 = X41 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_512])])]) ).

fof(c_0_788_789,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( c_Expr_Oexp_OCond(X46,X44,X42,X47) != c_Expr_Oexp_OCond(X45,X43,X41,X47)
      | X44 = X43 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_513])])]) ).

fof(c_0_789_790,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( c_Expr_Oexp_OCond(X46,X44,X42,X47) != c_Expr_Oexp_OCond(X45,X43,X41,X47)
      | X46 = X45 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_514])])]) ).

fof(c_0_790_791,plain,
    ! [X23,X24,X25,X26,X27] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X26,X27),X25),X24))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X26,X27),X23),X24))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X26,X27),X25),X23)) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_791_792,plain,
    ! [X39,X40,X41,X42,X43] :
      ( c_Decl_Ois__class(X41,X43,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X41,X42,c_Expr_Oexp_OCast(X43,X39,tc_List_Olist(tc_String_Ochar)),X40) ),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_792_793,plain,
    ! [X25,X26,X27,X28] :
      ( c_WellType_OWT(X26,X27,c_Expr_Oexp_Othrow(X25,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X26,X27,X25,c_Type_Oty_OClass(X28)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_517])])]) ).

fof(c_0_793_794,plain,
    ! [X39,X40,X41,X42,X43] :
      ( X40 = c_Type_Oty_OClass(X43)
      | ~ c_WellType_OWT(X41,X42,c_Expr_Oexp_OCast(X43,X39,tc_List_Olist(tc_String_Ochar)),X40) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_794_795,plain,
    ! [X25,X26,X27,X28] :
      ( c_Decl_Ois__class(X26,X28,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X26,X27,c_Expr_Oexp_Onew(X28,tc_List_Olist(tc_String_Ochar)),X25) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_795_796,plain,
    ! [X24,X25,X26,X27,X28] :
      ( X26 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X27,X28,c_Expr_Oexp_OLAss(X25,X24,tc_List_Olist(tc_String_Ochar)),X26) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_520])])]) ).

fof(c_0_796_797,plain,
    ! [X57,X58,X59,X60,X61] :
      ( X59 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X60,X61,c_Expr_Oexp_OWhile(X57,X58,tc_List_Olist(tc_String_Ochar)),X59) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_521])])]) ).

fof(c_0_797_798,plain,
    ! [X93,X94,X95,X96,X97,X98] :
      ( hAPP(X94,X96) != c_Option_Ooption_OSome(X93,X98)
      | hAPP(c_Map_Omap__add(X95,X94,X97,X98),X96) = c_Option_Ooption_OSome(X93,X98) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_798_799,plain,
    ! [X92,X93,X94,X95,X96,X97] :
      ( hAPP(X93,X95) != c_Option_Ooption_OSome(X92,X97)
      | hAPP(c_Map_Omap__add(X94,X93,X96,X97),X95) = c_Option_Ooption_OSome(X92,X97) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_799_800,plain,
    ! [X20,X21,X22,X23,X24] :
      ( c_Objects_Otypeof__h(X21,X20) != c_Option_Ooption_OSome(X22,tc_Type_Oty)
      | hBOOL(hAPP(hAPP(c_Conform_Oconf(X23,X21,X24),X20),X22)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_524])])]) ).

fof(c_0_800_801,plain,
    ! [X25,X26,X27] :
      ( c_WellType_OWT(X25,X26,c_Expr_Oexp_Onew(X27,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X27))
      | ~ c_Decl_Ois__class(X25,X27,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_525]) ).

fof(c_0_801_802,plain,
    ! [X25,X26,X27,X28] :
      ( X25 = c_Type_Oty_OClass(X28)
      | ~ c_WellType_OWT(X26,X27,c_Expr_Oexp_Onew(X28,tc_List_Olist(tc_String_Ochar)),X25) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_802_803,plain,
    ! [X19,X20,X21,X22] :
      ( X20 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X21,X22,c_Expr_Oexp_Othrow(X19,tc_List_Olist(tc_String_Ochar)),X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_527])])]) ).

fof(c_0_803_804,plain,
    ! [X25,X26,X27,X28] :
      ( X25 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X25))
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X26,X28),c_Type_Oty_OClass(X27)),X25)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_528])])]) ).

fof(c_0_804_805,plain,
    ! [X98,X99,X100] :
      ( c_in(X99,c_Transitive__Closure_Ortrancl(X98,X100),tc_prod(X100,X100))
      | ~ c_in(X99,X98,tc_prod(X100,X100)) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_805_806,plain,
    ! [X70,X71,X72,X73,X74] :
      ( c_Expr_Oexp_OLAss(X73,X71,X74) != c_Expr_Oexp_OLAss(X72,X70,X74)
      | X71 = X70 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_530])])]) ).

fof(c_0_806_807,plain,
    ! [X70,X71,X72,X73,X74] :
      ( c_Expr_Oexp_OLAss(X73,X71,X74) != c_Expr_Oexp_OLAss(X72,X70,X74)
      | X73 = X72 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_531])])]) ).

fof(c_0_807_808,plain,
    ! [X38,X39,X40,X41,X42] :
      ( c_List_Olist_OCons(X41,X39,X42) != c_List_Olist_OCons(X40,X38,X42)
      | X41 = X40 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_532])])]) ).

fof(c_0_808_809,plain,
    ! [X38,X39,X40,X41,X42] :
      ( c_List_Olist_OCons(X41,X39,X42) != c_List_Olist_OCons(X40,X38,X42)
      | X39 = X38 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_533])])]) ).

fof(c_0_809_810,plain,
    ! [X70,X71,X72,X73,X74] :
      ( c_Expr_Oexp_OCast(X71,X73,X74) != c_Expr_Oexp_OCast(X70,X72,X74)
      | X71 = X70 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_534])])]) ).

fof(c_0_810_811,plain,
    ! [X70,X71,X72,X73,X74] :
      ( c_Expr_Oexp_OCast(X71,X73,X74) != c_Expr_Oexp_OCast(X70,X72,X74)
      | X73 = X72 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_535])])]) ).

fof(c_0_811_812,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_Expr_Oexp_OWhile(X39,X37,X40) != c_Expr_Oexp_OWhile(X38,X36,X40)
      | X39 = X38 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_536])])]) ).

fof(c_0_812_813,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_Expr_Oexp_OWhile(X39,X37,X40) != c_Expr_Oexp_OWhile(X38,X36,X40)
      | X37 = X36 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_537])])]) ).

fof(c_0_813_814,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_Expr_Oexp_OSeq(X39,X37,X40) != c_Expr_Oexp_OSeq(X38,X36,X40)
      | X37 = X36 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_538])])]) ).

fof(c_0_814_815,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_Expr_Oexp_OSeq(X39,X37,X40) != c_Expr_Oexp_OSeq(X38,X36,X40)
      | X39 = X38 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_539])])]) ).

fof(c_0_815_816,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ hBOOL(hAPP(hAPP(c_fequal(X6),X5),X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_540])])]) ).

fof(c_0_816_817,plain,
    ! [X23,X24,X25] :
      ( hBOOL(hAPP(X24,X23))
      | ~ c_in(X23,X24,X25) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_541])])]) ).

fof(c_0_817_818,plain,
    ! [X23,X24,X25] :
      ( c_in(X23,X24,X25)
      | ~ hBOOL(hAPP(X24,X23)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_542])])]) ).

fof(c_0_818_819,plain,
    ! [X20,X21,X22,X23] :
      ( c_Objects_Otypeof__h(X22,X20) != c_Option_Ooption_OSome(X23,tc_Type_Oty)
      | ~ c_Objects_Ohext(X22,X21)
      | c_Objects_Otypeof__h(X21,X20) = c_Option_Ooption_OSome(X23,tc_Type_Oty) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_819_820,plain,
    ! [X65,X66,X67] :
      ( c_Objects_Ohext(X67,X65)
      | ~ c_Objects_Ohext(X66,X65)
      | ~ c_Objects_Ohext(X67,X66) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_820_821,plain,
    ! [X70,X71,X72] :
      ( c_Expr_Oexp_Othrow(X71,X72) != c_Expr_Oexp_Othrow(X70,X72)
      | X71 = X70 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_545])])]) ).

fof(c_0_821_822,plain,
    ! [X38,X39,X40] :
      ( c_Option_Ooption_OSome(X39,X40) != c_Option_Ooption_OSome(X38,X40)
      | X39 = X38 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_546])])]) ).

fof(c_0_822_823,plain,
    ! [X32,X33,X34] :
      ( c_Expr_Oexp_Onew(X33,X34) != c_Expr_Oexp_Onew(X32,X34)
      | X33 = X32 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_547])])]) ).

fof(c_0_823_824,plain,
    ! [X30,X31,X32] :
      ( c_Expr_Oexp_OVal(X31,X32) != c_Expr_Oexp_OVal(X30,X32)
      | X31 = X30 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_548])])]) ).

fof(c_0_824_825,plain,
    ! [X32,X33] :
      ( c_Type_Oty_OClass(X33) != c_Type_Oty_OClass(X32)
      | X33 = X32 ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

cnf(c_0_825_826,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2)),X8))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_826_827,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_827_828,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_552]) ).

cnf(c_0_828_829,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_553]) ).

cnf(c_0_829_830,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_554]) ).

cnf(c_0_830_831,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_555]) ).

cnf(c_0_831_832,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_556]) ).

cnf(c_0_832_833,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_557]) ).

cnf(c_0_833_834,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_558]) ).

cnf(c_0_834_835,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_559]) ).

cnf(c_0_835_836,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_560]) ).

cnf(c_0_836_837,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_561]) ).

cnf(c_0_837_838,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_562]) ).

cnf(c_0_838_839,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_563]) ).

cnf(c_0_839_840,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_564]) ).

cnf(c_0_840_841,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_565]) ).

cnf(c_0_841_842,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_566]) ).

cnf(c_0_842_843,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_567]) ).

cnf(c_0_843_844,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_568]) ).

cnf(c_0_844_845,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_569]) ).

cnf(c_0_845_846,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_570]) ).

cnf(c_0_846_847,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_571]) ).

cnf(c_0_847_848,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_572]) ).

cnf(c_0_848_849,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_573]) ).

cnf(c_0_849_850,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_574]) ).

cnf(c_0_850_851,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(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_575]) ).

cnf(c_0_851_852,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_576]) ).

cnf(c_0_852_853,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_577]) ).

cnf(c_0_853_854,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X5,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_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_578]) ).

cnf(c_0_854_855,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_579]) ).

cnf(c_0_855_856,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_580]) ).

cnf(c_0_856_857,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_581]) ).

cnf(c_0_857_858,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_582]) ).

cnf(c_0_858_859,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_583]) ).

cnf(c_0_859_860,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_860_861,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_585]) ).

cnf(c_0_861_862,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_586]) ).

cnf(c_0_862_863,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_587]) ).

cnf(c_0_863_864,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_588]) ).

cnf(c_0_864_865,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_589]) ).

cnf(c_0_865_866,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_590]) ).

cnf(c_0_866_867,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_591]) ).

cnf(c_0_867_868,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_592]) ).

cnf(c_0_868_869,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_593]) ).

cnf(c_0_869_870,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_594]) ).

cnf(c_0_870_871,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_595]) ).

cnf(c_0_871_872,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_596]) ).

cnf(c_0_872_873,plain,
    ( X7 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_873_874,plain,
    ( X7 = c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_874_875,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_599]) ).

cnf(c_0_875_876,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_600]) ).

cnf(c_0_876_877,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_601]) ).

cnf(c_0_877_878,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_878_879,plain,
    ( X6 = c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_879_880,plain,
    ( X6 = c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_880_881,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_881_882,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_882_883,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_883_884,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_884_885,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_885_886,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_886_887,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_887_888,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_612]) ).

cnf(c_0_888_889,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_613]) ).

cnf(c_0_889_890,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_890_891,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_891_892,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3)),X5))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_892_893,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_617]) ).

cnf(c_0_893_894,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_618]) ).

cnf(c_0_894_895,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_895_896,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_896_897,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_897_898,plain,
    ( c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OBlock(X6,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X6,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X7,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_Progress_OWTrt_H(X1,X4,c_Fun_Ofun__upd(X5,X6,c_Option_Ooption_OSome(X3,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | c_Objects_Otypeof__h(X4,X9) != c_Option_Ooption_OSome(X2,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_898_899,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_899_900,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_900_901,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

cnf(c_0_901_902,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_902_903,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X5),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_627]) ).

cnf(c_0_903_904,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_628]) ).

cnf(c_0_904_905,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_905_906,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_630]) ).

cnf(c_0_906_907,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_631]) ).

cnf(c_0_907_908,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OTryCatch(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_632]) ).

cnf(c_0_908_909,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X6),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X4)
    | ~ c_Decl_Ois__class(X1,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_633]) ).

cnf(c_0_909_910,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_634]) ).

cnf(c_0_910_911,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBlock(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X5,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_635]) ).

cnf(c_0_911_912,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_636]) ).

cnf(c_0_912_913,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_637]) ).

cnf(c_0_913_914,plain,
    ( X1 = X2
    | c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_638]) ).

cnf(c_0_914_915,plain,
    ( c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X4),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,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_639]) ).

cnf(c_0_915_916,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_640]) ).

cnf(c_0_916_917,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_641]) ).

cnf(c_0_917_918,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_918_919,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_643]) ).

cnf(c_0_919_920,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_644]) ).

cnf(c_0_920_921,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_645]) ).

cnf(c_0_921_922,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_646]) ).

cnf(c_0_922_923,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_647]) ).

cnf(c_0_923_924,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_924_925,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ 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_649]) ).

cnf(c_0_925_926,plain,
    ( c_Map_Omap__le(c_Fun_Ofun__upd(X1,X5,X6,X3,tc_Option_Ooption(X4)),c_Fun_Ofun__upd(X2,X5,X6,X3,tc_Option_Ooption(X4)),X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_650]) ).

cnf(c_0_926_927,plain,
    ( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_651]) ).

cnf(c_0_927_928,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_652]) ).

cnf(c_0_928_929,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

cnf(c_0_929_930,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_654]) ).

cnf(c_0_930_931,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_655]) ).

cnf(c_0_931_932,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_932_933,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_933_934,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_658]) ).

cnf(c_0_934_935,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

cnf(c_0_935_936,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_660]) ).

cnf(c_0_936_937,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_937_938,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_662]) ).

cnf(c_0_938_939,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X7,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X6))
    | hAPP(X3,X7) != c_Option_Ooption_OSome(X6,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_939_940,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_664]) ).

cnf(c_0_940_941,plain,
    ( c_Decl_Ois__class(X1,X4,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_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_665]) ).

cnf(c_0_941_942,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_666]) ).

cnf(c_0_942_943,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_667]) ).

cnf(c_0_943_944,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_668]) ).

cnf(c_0_944_945,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_669]) ).

cnf(c_0_945_946,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_670]) ).

cnf(c_0_946_947,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAcc(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_947_948,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCall(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_948_949,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_949_950,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCond(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_674]) ).

cnf(c_0_950_951,plain,
    ( X1 = X2
    | hAPP(X3,X4) = c_Option_Ooption_OSome(X2,X5)
    | hAPP(c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(X1,X5),X7,tc_Option_Ooption(X5)),X4) != c_Option_Ooption_OSome(X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_675]) ).

cnf(c_0_951_952,plain,
    ( X1 = X2
    | hAPP(X3,X1) = c_Option_Ooption_OSome(X4,X5)
    | hAPP(c_Fun_Ofun__upd(X3,X2,c_Option_Ooption_OSome(X6,X5),X7,tc_Option_Ooption(X5)),X1) != c_Option_Ooption_OSome(X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_676]) ).

cnf(c_0_952_953,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_677]) ).

cnf(c_0_953_954,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_678]) ).

cnf(c_0_954_955,plain,
    ( X3 = X6
    | hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X2) != c_Option_Ooption_OSome(X6,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_679]) ).

cnf(c_0_955_956,plain,
    ( X1 = X2
    | c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X1,X5),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,c_Option_Ooption_OSome(X2,X5),X6,tc_Option_Ooption(X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_956_957,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_957_958,plain,
    ( c_WellType_OWT(X1,X2,X5,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_682]) ).

cnf(c_0_958_959,plain,
    ( c_WellType_OWT(X1,X2,X4,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_683]) ).

cnf(c_0_959_960,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_684]) ).

cnf(c_0_960_961,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_685]) ).

cnf(c_0_961_962,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_686]) ).

cnf(c_0_962_963,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_687]) ).

cnf(c_0_963_964,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_688]) ).

cnf(c_0_964_965,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_689]) ).

cnf(c_0_965_966,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_690]) ).

cnf(c_0_966_967,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_691]) ).

cnf(c_0_967_968,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),X5,X7,X2,X3)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_692]) ).

cnf(c_0_968_969,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_693]) ).

cnf(c_0_969_970,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_694]) ).

cnf(c_0_970_971,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_695]) ).

cnf(c_0_971_972,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_696]) ).

cnf(c_0_972_973,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_973_974,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_698]) ).

cnf(c_0_974_975,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_699]) ).

cnf(c_0_975_976,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_700]) ).

cnf(c_0_976_977,plain,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_977_978,plain,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_978_979,plain,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_979_980,plain,
    ( c_List_Olist__all2(X1,X3,X6,X4,X7)
    | ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_980_981,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,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_705]) ).

cnf(c_0_981_982,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,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_706]) ).

cnf(c_0_982_983,plain,
    ( c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_983_984,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OLAss(X6,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_708]) ).

cnf(c_0_984_985,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_709]) ).

cnf(c_0_985_986,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_710]) ).

cnf(c_0_986_987,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_711]) ).

cnf(c_0_987_988,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_712]) ).

cnf(c_0_988_989,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(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_713]) ).

cnf(c_0_989_990,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_714]) ).

cnf(c_0_990_991,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X5,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_715]) ).

cnf(c_0_991_992,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_716]) ).

cnf(c_0_992_993,plain,
    ( c_Objects_Otypeof__h(X2,X4) = c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3),tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_993_994,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_718]) ).

cnf(c_0_994_995,plain,
    ( c_SmallStep_Oredp(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_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_995_996,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_720]) ).

cnf(c_0_996_997,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_721]) ).

cnf(c_0_997_998,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

cnf(c_0_998_999,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_723]) ).

cnf(c_0_999_1000,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_724]) ).

cnf(c_0_1000_1001,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_725]) ).

cnf(c_0_1001_1002,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_726]) ).

cnf(c_0_1002_1003,plain,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T_092_060_094isub_0622____)) ),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_1003_1004,plain,
    ( c_in(c_Pair(X4,X6,X2,X3),X1,tc_prod(X2,X3))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_1004_1005,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X4),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_1005_1006,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_730]) ).

cnf(c_0_1006_1007,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_731]) ).

cnf(c_0_1007_1008,plain,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X6) = c_Option_Ooption_OSome(X7,X4)
    | X6 = X2
    | hAPP(X1,X6) != c_Option_Ooption_OSome(X7,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_1008_1009,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_733]) ).

cnf(c_0_1009_1010,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_734]) ).

cnf(c_0_1010_1011,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_735]) ).

cnf(c_0_1011_1012,plain,
    ( X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_1012_1013,plain,
    ( X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_1013_1014,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_1014_1015,plain,
    ( c_Decl_Ois__class(X1,X4,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_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_739]) ).

cnf(c_0_1015_1016,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_740]) ).

cnf(c_0_1016_1017,plain,
    ( c_Decl_Ois__class(X1,X4,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_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_1017_1018,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_742]) ).

cnf(c_0_1018_1019,plain,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1019_1020,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_744]) ).

cnf(c_0_1020_1021,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_745]) ).

cnf(c_0_1021_1022,plain,
    ( X5 = c_Type_Oty_OClass(X4)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1022_1023,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_747]) ).

cnf(c_0_1023_1024,plain,
    ( hAPP(X1,X2) = X3
    | c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1024_1025,plain,
    ( X2 = X3
    | ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1025_1026,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_750]) ).

cnf(c_0_1026_1027,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1027_1028,plain,
    ( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

cnf(c_0_1028_1029,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_753]) ).

cnf(c_0_1029_1030,plain,
    ( c_WellTypeRT_OWTrt(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,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_754]) ).

cnf(c_0_1030_1031,plain,
    ( c_Progress_OWTrt_H(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,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_755]) ).

cnf(c_0_1031_1032,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_756]) ).

cnf(c_0_1032_1033,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_757]) ).

cnf(c_0_1033_1034,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
    | ~ c_Objects_Ohext(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1034_1035,plain,
    ( c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)) = X1
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1035_1036,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1036_1037,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1037_1038,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_762]) ).

cnf(c_0_1038_1039,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1039_1040,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_764]) ).

cnf(c_0_1040_1041,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_765]) ).

cnf(c_0_1041_1042,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Type_Oty_ONT),X4))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Value_Oval_ONull),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_766]) ).

cnf(c_0_1042_1043,plain,
    ( hAPP(X1,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X5,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) != c_Option_Ooption_OSome(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_767]) ).

cnf(c_0_1043_1044,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X5,X2),X6),X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | c_Objects_Otypeof__h(X5,X6) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

cnf(c_0_1044_1045,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_769]) ).

cnf(c_0_1045_1046,plain,
    ( X4 = c_Value_Oval_ONull
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),c_Type_Oty_ONT)) ),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_1046_1047,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X4,X2),c_Value_Oval_ONull),X3))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_771]) ).

cnf(c_0_1047_1048,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_772]) ).

cnf(c_0_1048_1049,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_773]) ).

cnf(c_0_1049_1050,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_774]) ).

cnf(c_0_1050_1051,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_775]) ).

cnf(c_0_1051_1052,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_776]) ).

cnf(c_0_1052_1053,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_777]) ).

cnf(c_0_1053_1054,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

cnf(c_0_1054_1055,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_779]) ).

cnf(c_0_1055_1056,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_780]) ).

cnf(c_0_1056_1057,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_781]) ).

cnf(c_0_1057_1058,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_782]) ).

cnf(c_0_1058_1059,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_783]) ).

cnf(c_0_1059_1060,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_784]) ).

cnf(c_0_1060_1061,plain,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_785]) ).

cnf(c_0_1061_1062,plain,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1062_1063,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_787]) ).

cnf(c_0_1063_1064,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_788]) ).

cnf(c_0_1064_1065,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_789]) ).

cnf(c_0_1065_1066,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

cnf(c_0_1066_1067,plain,
    ( c_Decl_Ois__class(X1,X3,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_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1067_1068,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_792]) ).

cnf(c_0_1068_1069,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_793]) ).

cnf(c_0_1069_1070,plain,
    ( c_Decl_Ois__class(X1,X3,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_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1070_1071,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_795]) ).

cnf(c_0_1071_1072,plain,
    ( X5 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1072_1073,plain,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1073_1074,plain,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1074_1075,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1075_1076,plain,
    ( c_WellType_OWT(X1,X3,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,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_800]) ).

cnf(c_0_1076_1077,plain,
    ( X4 = c_Type_Oty_OClass(X3)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_801]) ).

cnf(c_0_1077_1078,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_802]) ).

cnf(c_0_1078_1079,plain,
    ( X4 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_OClass(X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_803]) ).

cnf(c_0_1079_1080,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_804]) ).

cnf(c_0_1080_1081,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_805]) ).

cnf(c_0_1081_1082,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_806]) ).

cnf(c_0_1082_1083,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_807]) ).

cnf(c_0_1083_1084,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_808]) ).

cnf(c_0_1084_1085,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_809]) ).

cnf(c_0_1085_1086,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_810]) ).

cnf(c_0_1086_1087,plain,
    ( X1 = X2
    | c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_1087_1088,plain,
    ( X1 = X2
    | c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_812]) ).

cnf(c_0_1088_1089,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_813]) ).

cnf(c_0_1089_1090,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_814]) ).

cnf(c_0_1090_1091,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_815]) ).

cnf(c_0_1091_1092,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_816]) ).

cnf(c_0_1092_1093,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_817]) ).

cnf(c_0_1093_1094,plain,
    ( c_Objects_Otypeof__h(X1,X2) = c_Option_Ooption_OSome(X3,tc_Type_Oty)
    | ~ c_Objects_Ohext(X4,X1)
    | c_Objects_Otypeof__h(X4,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_818]) ).

cnf(c_0_1094_1095,plain,
    ( c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_819]) ).

cnf(c_0_1095_1096,plain,
    ( X1 = X2
    | c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_820]) ).

cnf(c_0_1096_1097,plain,
    ( X1 = X2
    | c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_821]) ).

cnf(c_0_1097_1098,plain,
    ( X1 = X2
    | c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_822]) ).

cnf(c_0_1098_1099,plain,
    ( X1 = X2
    | c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_1099_1100,plain,
    ( X1 = X2
    | c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_824]) ).

cnf(c_0_1100_1101,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2)),X8))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_825,
    [final] ).

cnf(c_0_1101_1102,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_826,
    [final] ).

cnf(c_0_1102_1103,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_827,
    [final] ).

cnf(c_0_1103_1104,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_828,
    [final] ).

cnf(c_0_1104_1105,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_829,
    [final] ).

cnf(c_0_1105_1106,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_830,
    [final] ).

cnf(c_0_1106_1107,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_831,
    [final] ).

cnf(c_0_1107_1108,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_832,
    [final] ).

cnf(c_0_1108_1109,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_833,
    [final] ).

cnf(c_0_1109_1110,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_834,
    [final] ).

cnf(c_0_1110_1111,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_835,
    [final] ).

cnf(c_0_1111_1112,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_836,
    [final] ).

cnf(c_0_1112_1113,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_837,
    [final] ).

cnf(c_0_1113_1114,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_838,
    [final] ).

cnf(c_0_1114_1115,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_839,
    [final] ).

cnf(c_0_1115_1116,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_840,
    [final] ).

cnf(c_0_1116_1117,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_841,
    [final] ).

cnf(c_0_1117_1118,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_842,
    [final] ).

cnf(c_0_1118_1119,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_843,
    [final] ).

cnf(c_0_1119_1120,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_844,
    [final] ).

cnf(c_0_1120_1121,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_845,
    [final] ).

cnf(c_0_1121_1122,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_846,
    [final] ).

cnf(c_0_1122_1123,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_847,
    [final] ).

cnf(c_0_1123_1124,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_848,
    [final] ).

cnf(c_0_1124_1125,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_849,
    [final] ).

cnf(c_0_1125_1126,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(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_850,
    [final] ).

cnf(c_0_1126_1127,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_851,
    [final] ).

cnf(c_0_1127_1128,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_852,
    [final] ).

cnf(c_0_1128_1129,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X5,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_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_853,
    [final] ).

cnf(c_0_1129_1130,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_854,
    [final] ).

cnf(c_0_1130_1131,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_855,
    [final] ).

cnf(c_0_1131_1132,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_856,
    [final] ).

cnf(c_0_1132_1133,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_857,
    [final] ).

cnf(c_0_1133_1134,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_858,
    [final] ).

cnf(c_0_1134_1135,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_859,
    [final] ).

cnf(c_0_1135_1136,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_860,
    [final] ).

cnf(c_0_1136_1137,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_861,
    [final] ).

cnf(c_0_1137_1138,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_862,
    [final] ).

cnf(c_0_1138_1139,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_863,
    [final] ).

cnf(c_0_1139_1140,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_864,
    [final] ).

cnf(c_0_1140_1141,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_865,
    [final] ).

cnf(c_0_1141_1142,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_866,
    [final] ).

cnf(c_0_1142_1143,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_867,
    [final] ).

cnf(c_0_1143_1144,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_868,
    [final] ).

cnf(c_0_1144_1145,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_869,
    [final] ).

cnf(c_0_1145_1146,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_870,
    [final] ).

cnf(c_0_1146_1147,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_871,
    [final] ).

cnf(c_0_1147_1148,plain,
    ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2) = X7
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))) ),
    c_0_872,
    [final] ).

cnf(c_0_1148_1149,plain,
    ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2) = X7
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))) ),
    c_0_873,
    [final] ).

cnf(c_0_1149_1150,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_874,
    [final] ).

cnf(c_0_1150_1151,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_875,
    [final] ).

cnf(c_0_1151_1152,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_876,
    [final] ).

cnf(c_0_1152_1153,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_877,
    [final] ).

cnf(c_0_1153_1154,plain,
    ( c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5) = X6
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))) ),
    c_0_878,
    [final] ).

cnf(c_0_1154_1155,plain,
    ( c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5) = X6
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))) ),
    c_0_879,
    [final] ).

cnf(c_0_1155_1156,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    c_0_880,
    [final] ).

cnf(c_0_1156_1157,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    c_0_881,
    [final] ).

cnf(c_0_1157_1158,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    c_0_882,
    [final] ).

cnf(c_0_1158_1159,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    c_0_883,
    [final] ).

cnf(c_0_1159_1160,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    c_0_884,
    [final] ).

cnf(c_0_1160_1161,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_885,
    [final] ).

cnf(c_0_1161_1162,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_886,
    [final] ).

cnf(c_0_1162_1163,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_887,
    [final] ).

cnf(c_0_1163_1164,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_888,
    [final] ).

cnf(c_0_1164_1165,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    c_0_889,
    [final] ).

cnf(c_0_1165_1166,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    c_0_890,
    [final] ).

cnf(c_0_1166_1167,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3)),X5))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    c_0_891,
    [final] ).

cnf(c_0_1167_1168,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_892,
    [final] ).

cnf(c_0_1168_1169,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_893,
    [final] ).

cnf(c_0_1169_1170,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    c_0_894,
    [final] ).

cnf(c_0_1170_1171,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    c_0_895,
    [final] ).

cnf(c_0_1171_1172,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    c_0_896,
    [final] ).

cnf(c_0_1172_1173,plain,
    ( c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OBlock(X6,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X6,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X7,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_Progress_OWTrt_H(X1,X4,c_Fun_Ofun__upd(X5,X6,c_Option_Ooption_OSome(X3,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | c_Objects_Otypeof__h(X4,X9) != c_Option_Ooption_OSome(X2,tc_Type_Oty) ),
    c_0_897,
    [final] ).

cnf(c_0_1173_1174,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    c_0_898,
    [final] ).

cnf(c_0_1174_1175,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    c_0_899,
    [final] ).

cnf(c_0_1175_1176,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    c_0_900,
    [final] ).

cnf(c_0_1176_1177,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    c_0_901,
    [final] ).

cnf(c_0_1177_1178,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X5),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_902,
    [final] ).

cnf(c_0_1178_1179,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    c_0_903,
    [final] ).

cnf(c_0_1179_1180,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    c_0_904,
    [final] ).

cnf(c_0_1180_1181,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_905,
    [final] ).

cnf(c_0_1181_1182,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_906,
    [final] ).

cnf(c_0_1182_1183,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OTryCatch(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_907,
    [final] ).

cnf(c_0_1183_1184,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X6),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X4)
    | ~ c_Decl_Ois__class(X1,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_908,
    [final] ).

cnf(c_0_1184_1185,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_909,
    [final] ).

cnf(c_0_1185_1186,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBlock(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X5,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,X7) ),
    c_0_910,
    [final] ).

cnf(c_0_1186_1187,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_911,
    [final] ).

cnf(c_0_1187_1188,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_912,
    [final] ).

cnf(c_0_1188_1189,plain,
    ( X1 = X2
    | c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6) ),
    c_0_913,
    [final] ).

cnf(c_0_1189_1190,plain,
    ( c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X4),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,X7)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_914,
    [final] ).

cnf(c_0_1190_1191,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_915,
    [final] ).

cnf(c_0_1191_1192,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_916,
    [final] ).

cnf(c_0_1192_1193,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
    c_0_917,
    [final] ).

cnf(c_0_1193_1194,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_918,
    [final] ).

cnf(c_0_1194_1195,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_919,
    [final] ).

cnf(c_0_1195_1196,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_920,
    [final] ).

cnf(c_0_1196_1197,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_921,
    [final] ).

cnf(c_0_1197_1198,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_922,
    [final] ).

cnf(c_0_1198_1199,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    c_0_923,
    [final] ).

cnf(c_0_1199_1200,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7) ),
    c_0_924,
    [final] ).

cnf(c_0_1200_1201,plain,
    ( c_Map_Omap__le(c_Fun_Ofun__upd(X1,X5,X6,X3,tc_Option_Ooption(X4)),c_Fun_Ofun__upd(X2,X5,X6,X3,tc_Option_Ooption(X4)),X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4) ),
    c_0_925,
    [final] ).

cnf(c_0_1201_1202,plain,
    ( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    c_0_926,
    [final] ).

cnf(c_0_1202_1203,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_927,
    [final] ).

cnf(c_0_1203_1204,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    c_0_928,
    [final] ).

cnf(c_0_1204_1205,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_929,
    [final] ).

cnf(c_0_1205_1206,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_930,
    [final] ).

cnf(c_0_1206_1207,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    c_0_931,
    [final] ).

cnf(c_0_1207_1208,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    c_0_932,
    [final] ).

cnf(c_0_1208_1209,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
    c_0_933,
    [final] ).

cnf(c_0_1209_1210,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    c_0_934,
    [final] ).

cnf(c_0_1210_1211,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    c_0_935,
    [final] ).

cnf(c_0_1211_1212,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    c_0_936,
    [final] ).

cnf(c_0_1212_1213,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    c_0_937,
    [final] ).

cnf(c_0_1213_1214,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X7,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X6))
    | hAPP(X3,X7) != c_Option_Ooption_OSome(X6,tc_Type_Oty) ),
    c_0_938,
    [final] ).

cnf(c_0_1214_1215,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_939,
    [final] ).

cnf(c_0_1215_1216,plain,
    ( c_Decl_Ois__class(X1,X4,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_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_940,
    [final] ).

cnf(c_0_1216_1217,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_941,
    [final] ).

cnf(c_0_1217_1218,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_942,
    [final] ).

cnf(c_0_1218_1219,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_943,
    [final] ).

cnf(c_0_1219_1220,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_944,
    [final] ).

cnf(c_0_1220_1221,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_945,
    [final] ).

cnf(c_0_1221_1222,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAcc(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_946,
    [final] ).

cnf(c_0_1222_1223,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCall(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_947,
    [final] ).

cnf(c_0_1223_1224,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_948,
    [final] ).

cnf(c_0_1224_1225,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCond(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_949,
    [final] ).

cnf(c_0_1225_1226,plain,
    ( X1 = X2
    | hAPP(X3,X4) = c_Option_Ooption_OSome(X2,X5)
    | hAPP(c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(X1,X5),X7,tc_Option_Ooption(X5)),X4) != c_Option_Ooption_OSome(X2,X5) ),
    c_0_950,
    [final] ).

cnf(c_0_1226_1227,plain,
    ( X1 = X2
    | hAPP(X3,X1) = c_Option_Ooption_OSome(X4,X5)
    | hAPP(c_Fun_Ofun__upd(X3,X2,c_Option_Ooption_OSome(X6,X5),X7,tc_Option_Ooption(X5)),X1) != c_Option_Ooption_OSome(X4,X5) ),
    c_0_951,
    [final] ).

cnf(c_0_1227_1228,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    c_0_952,
    [final] ).

cnf(c_0_1228_1229,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    c_0_953,
    [final] ).

cnf(c_0_1229_1230,plain,
    ( X3 = X6
    | hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X2) != c_Option_Ooption_OSome(X6,X4) ),
    c_0_954,
    [final] ).

cnf(c_0_1230_1231,plain,
    ( X1 = X2
    | c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X1,X5),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,c_Option_Ooption_OSome(X2,X5),X6,tc_Option_Ooption(X5)) ),
    c_0_955,
    [final] ).

cnf(c_0_1231_1232,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_956,
    [final] ).

cnf(c_0_1232_1233,plain,
    ( c_WellType_OWT(X1,X2,X5,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_957,
    [final] ).

cnf(c_0_1233_1234,plain,
    ( c_WellType_OWT(X1,X2,X4,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_958,
    [final] ).

cnf(c_0_1234_1235,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
    c_0_959,
    [final] ).

cnf(c_0_1235_1236,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
    c_0_960,
    [final] ).

cnf(c_0_1236_1237,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
    c_0_961,
    [final] ).

cnf(c_0_1237_1238,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
    c_0_962,
    [final] ).

cnf(c_0_1238_1239,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
    c_0_963,
    [final] ).

cnf(c_0_1239_1240,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
    c_0_964,
    [final] ).

cnf(c_0_1240_1241,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
    c_0_965,
    [final] ).

cnf(c_0_1241_1242,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
    c_0_966,
    [final] ).

cnf(c_0_1242_1243,plain,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),X5,X7,X2,X3)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3) ),
    c_0_967,
    [final] ).

cnf(c_0_1243_1244,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_968,
    [final] ).

cnf(c_0_1244_1245,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_969,
    [final] ).

cnf(c_0_1245_1246,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_970,
    [final] ).

cnf(c_0_1246_1247,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_971,
    [final] ).

cnf(c_0_1247_1248,plain,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    c_0_972,
    [final] ).

cnf(c_0_1248_1249,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_973,
    [final] ).

cnf(c_0_1249_1250,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_974,
    [final] ).

cnf(c_0_1250_1251,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_975,
    [final] ).

cnf(c_0_1251_1252,plain,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    c_0_976,
    [final] ).

cnf(c_0_1252_1253,plain,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    c_0_977,
    [final] ).

cnf(c_0_1253_1254,plain,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    c_0_978,
    [final] ).

cnf(c_0_1254_1255,plain,
    ( c_List_Olist__all2(X1,X3,X6,X4,X7)
    | ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
    c_0_979,
    [final] ).

cnf(c_0_1255_1256,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_980,
    [final] ).

cnf(c_0_1256_1257,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_981,
    [final] ).

cnf(c_0_1257_1258,plain,
    ( c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_Objects_Ohext(X2,X6) ),
    c_0_982,
    [final] ).

cnf(c_0_1258_1259,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OLAss(X6,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_983,
    [final] ).

cnf(c_0_1259_1260,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_984,
    [final] ).

cnf(c_0_1260_1261,plain,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_985,
    [final] ).

cnf(c_0_1261_1262,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_986,
    [final] ).

cnf(c_0_1262_1263,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_987,
    [final] ).

cnf(c_0_1263_1264,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(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_988,
    [final] ).

cnf(c_0_1264_1265,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_989,
    [final] ).

cnf(c_0_1265_1266,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X5,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4) ),
    c_0_990,
    [final] ).

cnf(c_0_1266_1267,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_991,
    [final] ).

cnf(c_0_1267_1268,plain,
    ( c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3),tc_Type_Oty) = c_Objects_Otypeof__h(X2,X4)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    c_0_992,
    [final] ).

cnf(c_0_1268_1269,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_993,
    [final] ).

cnf(c_0_1269_1270,plain,
    ( c_SmallStep_Oredp(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_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    c_0_994,
    [final] ).

cnf(c_0_1270_1271,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6)) ),
    c_0_995,
    [final] ).

cnf(c_0_1271_1272,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5) ),
    c_0_996,
    [final] ).

cnf(c_0_1272_1273,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5) ),
    c_0_997,
    [final] ).

cnf(c_0_1273_1274,plain,
    ( c_Conform_Olconf(X1,X6,X3,X4,X5)
    | ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    c_0_998,
    [final] ).

cnf(c_0_1274_1275,plain,
    ( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    c_0_999,
    [final] ).

cnf(c_0_1275_1276,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
    c_0_1000,
    [final] ).

cnf(c_0_1276_1277,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
    c_0_1001,
    [final] ).

cnf(c_0_1277_1278,plain,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T_092_060_094isub_0622____)) ),
    c_0_1002,
    [final] ).

cnf(c_0_1278_1279,plain,
    ( c_in(c_Pair(X4,X6,X2,X3),X1,tc_prod(X2,X3))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3) ),
    c_0_1003,
    [final] ).

cnf(c_0_1279_1280,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X4),X6)) ),
    c_0_1004,
    [final] ).

cnf(c_0_1280_1281,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X4)) ),
    c_0_1005,
    [final] ).

cnf(c_0_1281_1282,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_1006,
    [final] ).

cnf(c_0_1282_1283,plain,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X6) = c_Option_Ooption_OSome(X7,X4)
    | X6 = X2
    | hAPP(X1,X6) != c_Option_Ooption_OSome(X7,X4) ),
    c_0_1007,
    [final] ).

cnf(c_0_1283_1284,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_1008,
    [final] ).

cnf(c_0_1284_1285,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_1009,
    [final] ).

cnf(c_0_1285_1286,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_1010,
    [final] ).

cnf(c_0_1286_1287,plain,
    ( X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
    c_0_1011,
    [final] ).

cnf(c_0_1287_1288,plain,
    ( X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
    c_0_1012,
    [final] ).

cnf(c_0_1288_1289,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
    c_0_1013,
    [final] ).

cnf(c_0_1289_1290,plain,
    ( c_Decl_Ois__class(X1,X4,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_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_1014,
    [final] ).

cnf(c_0_1290_1291,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_1015,
    [final] ).

cnf(c_0_1291_1292,plain,
    ( c_Decl_Ois__class(X1,X4,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_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_1016,
    [final] ).

cnf(c_0_1292_1293,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_1017,
    [final] ).

cnf(c_0_1293_1294,plain,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_1018,
    [final] ).

cnf(c_0_1294_1295,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_1019,
    [final] ).

cnf(c_0_1295_1296,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_1020,
    [final] ).

cnf(c_0_1296_1297,plain,
    ( X5 = c_Type_Oty_OClass(X4)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_1021,
    [final] ).

cnf(c_0_1297_1298,plain,
    ( X5 = X3
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    c_0_1022,
    [final] ).

cnf(c_0_1298_1299,plain,
    ( hAPP(X1,X2) = X3
    | c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
    c_0_1023,
    [final] ).

cnf(c_0_1299_1300,plain,
    ( X2 = X3
    | ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
    c_0_1024,
    [final] ).

cnf(c_0_1300_1301,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_1025,
    [final] ).

cnf(c_0_1301_1302,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
    c_0_1026,
    [final] ).

cnf(c_0_1302_1303,plain,
    ( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4) ),
    c_0_1027,
    [final] ).

cnf(c_0_1303_1304,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_1028,
    [final] ).

cnf(c_0_1304_1305,plain,
    ( c_WellTypeRT_OWTrt(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_1029,
    [final] ).

cnf(c_0_1305_1306,plain,
    ( c_Progress_OWTrt_H(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_1030,
    [final] ).

cnf(c_0_1306_1307,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_1031,
    [final] ).

cnf(c_0_1307_1308,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_1032,
    [final] ).

cnf(c_0_1308_1309,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
    | ~ c_Objects_Ohext(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
    c_0_1033,
    [final] ).

cnf(c_0_1309_1310,plain,
    ( c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)) = X1
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    c_0_1034,
    [final] ).

cnf(c_0_1310_1311,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    c_0_1035,
    [final] ).

cnf(c_0_1311_1312,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    c_0_1036,
    [final] ).

cnf(c_0_1312_1313,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_1037,
    [final] ).

cnf(c_0_1313_1314,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X5) ),
    c_0_1038,
    [final] ).

cnf(c_0_1314_1315,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_1039,
    [final] ).

cnf(c_0_1315_1316,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_1040,
    [final] ).

cnf(c_0_1316_1317,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Type_Oty_ONT),X4))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Value_Oval_ONull),X4)) ),
    c_0_1041,
    [final] ).

cnf(c_0_1317_1318,plain,
    ( hAPP(X1,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X5,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) != c_Option_Ooption_OSome(X3,X4) ),
    c_0_1042,
    [final] ).

cnf(c_0_1318_1319,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X5,X2),X6),X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | c_Objects_Otypeof__h(X5,X6) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    c_0_1043,
    [final] ).

cnf(c_0_1319_1320,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_1044,
    [final] ).

cnf(c_0_1320_1321,plain,
    ( X4 = c_Value_Oval_ONull
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),c_Type_Oty_ONT)) ),
    c_0_1045,
    [final] ).

cnf(c_0_1321_1322,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X4,X2),c_Value_Oval_ONull),X3))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),X3)) ),
    c_0_1046,
    [final] ).

cnf(c_0_1322_1323,plain,
    ( X1 = X2
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X1,X3,X4) ),
    c_0_1047,
    [final] ).

cnf(c_0_1323_1324,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
    c_0_1048,
    [final] ).

cnf(c_0_1324_1325,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
    c_0_1049,
    [final] ).

cnf(c_0_1325_1326,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
    c_0_1050,
    [final] ).

cnf(c_0_1326_1327,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
    c_0_1051,
    [final] ).

cnf(c_0_1327_1328,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
    c_0_1052,
    [final] ).

cnf(c_0_1328_1329,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
    c_0_1053,
    [final] ).

cnf(c_0_1329_1330,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
    c_0_1054,
    [final] ).

cnf(c_0_1330_1331,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
    c_0_1055,
    [final] ).

cnf(c_0_1331_1332,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
    c_0_1056,
    [final] ).

cnf(c_0_1332_1333,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
    c_0_1057,
    [final] ).

cnf(c_0_1333_1334,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
    c_0_1058,
    [final] ).

cnf(c_0_1334_1335,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
    c_0_1059,
    [final] ).

cnf(c_0_1335_1336,plain,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    c_0_1060,
    [final] ).

cnf(c_0_1336_1337,plain,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    c_0_1061,
    [final] ).

cnf(c_0_1337_1338,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
    c_0_1062,
    [final] ).

cnf(c_0_1338_1339,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
    c_0_1063,
    [final] ).

cnf(c_0_1339_1340,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
    c_0_1064,
    [final] ).

cnf(c_0_1340_1341,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
    c_0_1065,
    [final] ).

cnf(c_0_1341_1342,plain,
    ( c_Decl_Ois__class(X1,X3,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_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_1066,
    [final] ).

cnf(c_0_1342_1343,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_1067,
    [final] ).

cnf(c_0_1343_1344,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_1068,
    [final] ).

cnf(c_0_1344_1345,plain,
    ( c_Decl_Ois__class(X1,X3,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_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    c_0_1069,
    [final] ).

cnf(c_0_1345_1346,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_1070,
    [final] ).

cnf(c_0_1346_1347,plain,
    ( X5 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_1071,
    [final] ).

cnf(c_0_1347_1348,plain,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4) ),
    c_0_1072,
    [final] ).

cnf(c_0_1348_1349,plain,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4) ),
    c_0_1073,
    [final] ).

cnf(c_0_1349_1350,plain,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    c_0_1074,
    [final] ).

cnf(c_0_1350,plain,
    ( c_WellType_OWT(X1,X3,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_1075,
    [final] ).

cnf(c_0_1351,plain,
    ( X4 = c_Type_Oty_OClass(X3)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    c_0_1076,
    [final] ).

cnf(c_0_1352,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_1077,
    [final] ).

cnf(c_0_1353,plain,
    ( c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X4)) = X4
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_OClass(X3)),X4)) ),
    c_0_1078,
    [final] ).

cnf(c_0_1354,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    c_0_1079,
    [final] ).

cnf(c_0_1355,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
    c_0_1080,
    [final] ).

cnf(c_0_1356,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
    c_0_1081,
    [final] ).

cnf(c_0_1357,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    c_0_1082,
    [final] ).

cnf(c_0_1358,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    c_0_1083,
    [final] ).

cnf(c_0_1359,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
    c_0_1084,
    [final] ).

cnf(c_0_1360,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
    c_0_1085,
    [final] ).

cnf(c_0_1361,plain,
    ( X1 = X2
    | c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
    c_0_1086,
    [final] ).

cnf(c_0_1362,plain,
    ( X1 = X2
    | c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
    c_0_1087,
    [final] ).

cnf(c_0_1363,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
    c_0_1088,
    [final] ).

cnf(c_0_1364,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
    c_0_1089,
    [final] ).

cnf(c_0_1365,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    c_0_1090,
    [final] ).

cnf(c_0_1366,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    c_0_1091,
    [final] ).

cnf(c_0_1367,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1092,
    [final] ).

cnf(c_0_1368,plain,
    ( c_Objects_Otypeof__h(X1,X2) = c_Option_Ooption_OSome(X3,tc_Type_Oty)
    | ~ c_Objects_Ohext(X4,X1)
    | c_Objects_Otypeof__h(X4,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    c_0_1093,
    [final] ).

cnf(c_0_1369,plain,
    ( c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X2,X3) ),
    c_0_1094,
    [final] ).

cnf(c_0_1370,plain,
    ( X1 = X2
    | c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
    c_0_1095,
    [final] ).

cnf(c_0_1371,plain,
    ( X1 = X2
    | c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
    c_0_1096,
    [final] ).

cnf(c_0_1372,plain,
    ( X1 = X2
    | c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3) ),
    c_0_1097,
    [final] ).

cnf(c_0_1373,plain,
    ( X1 = X2
    | c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
    c_0_1098,
    [final] ).

cnf(c_0_1374,plain,
    ( X1 = X2
    | c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
    c_0_1099,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1100_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2)),X8))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1100]) ).

cnf(c_0_1100_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2)),X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_1100]) ).

cnf(c_0_1101_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1101_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X5,X3,X1,X8,X6,X4,X7,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1102_1,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_1102]) ).

cnf(c_0_1102_2,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_1102]) ).

cnf(c_0_1102_3,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_1102]) ).

cnf(c_0_1103_1,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_1103]) ).

cnf(c_0_1103_2,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_1103]) ).

cnf(c_0_1103_3,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_1103]) ).

cnf(c_0_1104_1,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_1104]) ).

cnf(c_0_1104_2,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_1104]) ).

cnf(c_0_1104_3,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_1104]) ).

cnf(c_0_1105_1,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_1105]) ).

cnf(c_0_1105_2,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_1105]) ).

cnf(c_0_1106_1,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_1106]) ).

cnf(c_0_1106_2,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_1106]) ).

cnf(c_0_1107_1,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_1107]) ).

cnf(c_0_1107_2,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_1107]) ).

cnf(c_0_1108_1,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_1108]) ).

cnf(c_0_1108_2,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_1108]) ).

cnf(c_0_1109_1,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_1109]) ).

cnf(c_0_1109_2,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_1109]) ).

cnf(c_0_1110_1,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_1110]) ).

cnf(c_0_1110_2,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_1110]) ).

cnf(c_0_1111_1,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_1111]) ).

cnf(c_0_1111_2,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_1111]) ).

cnf(c_0_1112_1,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_1112]) ).

cnf(c_0_1112_2,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_1112]) ).

cnf(c_0_1113_1,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_1113]) ).

cnf(c_0_1113_2,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_1113]) ).

cnf(c_0_1114_1,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_1114]) ).

cnf(c_0_1114_2,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_1114]) ).

cnf(c_0_1115_1,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_1115]) ).

cnf(c_0_1115_2,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_1115]) ).

cnf(c_0_1116_1,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_1116]) ).

cnf(c_0_1116_2,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_1116]) ).

cnf(c_0_1117_1,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_1117]) ).

cnf(c_0_1117_2,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_1117]) ).

cnf(c_0_1118_1,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_1118]) ).

cnf(c_0_1118_2,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_1118]) ).

cnf(c_0_1119_1,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_1119]) ).

cnf(c_0_1119_2,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_1119]) ).

cnf(c_0_1120_1,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_1120]) ).

cnf(c_0_1120_2,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_1120]) ).

cnf(c_0_1121_1,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_1121]) ).

cnf(c_0_1121_2,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_1121]) ).

cnf(c_0_1122_1,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_1122]) ).

cnf(c_0_1122_2,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_1122]) ).

cnf(c_0_1123_1,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_1123]) ).

cnf(c_0_1123_2,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_1123]) ).

cnf(c_0_1124_1,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_1124]) ).

cnf(c_0_1124_2,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_1124]) ).

cnf(c_0_1125_1,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(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_1125]) ).

cnf(c_0_1125_2,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_OWhile(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_1125]) ).

cnf(c_0_1126_1,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_1126]) ).

cnf(c_0_1126_2,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_1126]) ).

cnf(c_0_1127_1,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_1127]) ).

cnf(c_0_1127_2,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_1127]) ).

cnf(c_0_1128_1,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X5,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_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_1128]) ).

cnf(c_0_1128_2,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(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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(X5,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_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X4),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_1128]) ).

cnf(c_0_1129_1,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_1129]) ).

cnf(c_0_1129_2,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_1129]) ).

cnf(c_0_1130_1,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_1130]) ).

cnf(c_0_1130_2,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_1130]) ).

cnf(c_0_1131_1,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_1131]) ).

cnf(c_0_1131_2,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_1131]) ).

cnf(c_0_1132_1,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_1132]) ).

cnf(c_0_1132_2,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_1132]) ).

cnf(c_0_1133_1,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_1133]) ).

cnf(c_0_1133_2,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_1133]) ).

cnf(c_0_1134_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1134_2,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1134_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1135_1,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_1135]) ).

cnf(c_0_1135_2,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_1135]) ).

cnf(c_0_1136_1,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_1136]) ).

cnf(c_0_1136_2,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_1136]) ).

cnf(c_0_1137_1,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_1137]) ).

cnf(c_0_1137_2,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_1137]) ).

cnf(c_0_1138_1,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_1138]) ).

cnf(c_0_1138_2,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_1138]) ).

cnf(c_0_1139_1,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_1139]) ).

cnf(c_0_1139_2,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_1139]) ).

cnf(c_0_1140_1,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_1140]) ).

cnf(c_0_1140_2,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_1140]) ).

cnf(c_0_1141_1,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_1141]) ).

cnf(c_0_1141_2,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_1141]) ).

cnf(c_0_1142_1,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_1142]) ).

cnf(c_0_1142_2,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_1142]) ).

cnf(c_0_1143_1,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_1143]) ).

cnf(c_0_1143_2,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_1143]) ).

cnf(c_0_1144_1,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_1144]) ).

cnf(c_0_1144_2,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_1144]) ).

cnf(c_0_1144_3,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_1144]) ).

cnf(c_0_1145_1,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_1145]) ).

cnf(c_0_1145_2,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_1145]) ).

cnf(c_0_1145_3,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_1145]) ).

cnf(c_0_1146_1,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_1146]) ).

cnf(c_0_1146_2,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_1146]) ).

cnf(c_0_1146_3,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_1146]) ).

cnf(c_0_1146_4,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_1146]) ).

cnf(c_0_1147_1,axiom,
    ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2) = X7
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2) = X7
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2) = X7 ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1148_1,axiom,
    ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2) = X7
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1148_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2) = X7
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1148_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2) = X7 ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1149_1,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_1149]) ).

cnf(c_0_1149_2,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_1149]) ).

cnf(c_0_1149_3,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_1149]) ).

cnf(c_0_1149_4,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_1149]) ).

cnf(c_0_1150_1,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_1150]) ).

cnf(c_0_1150_2,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_1150]) ).

cnf(c_0_1151_1,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_1151]) ).

cnf(c_0_1151_2,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_1151]) ).

cnf(c_0_1151_3,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_1151]) ).

cnf(c_0_1151_4,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_1151]) ).

cnf(c_0_1152_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_2,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1153_1,axiom,
    ( c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5) = X6
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5) = X6
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1154_1,axiom,
    ( c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5) = X6
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1154_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5) = X6
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1154_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)),c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1155_1,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_2,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_3,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_4,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_5,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7))
    | ~ 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_1155]) ).

cnf(c_0_1156_1,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_2,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_3,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_4,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)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_5,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X10),X7))
    | ~ 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_1156]) ).

cnf(c_0_1157_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_2,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))))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X2))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,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))))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1158_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_2,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))))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X2))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,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))))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1159_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),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_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_2,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))))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X2))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,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))))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1160_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1160_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2(X3,X1,X7,X5,X6,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1161_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1161_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1(X3,X1,X7,X5,X6,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1162_1,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_1162]) ).

cnf(c_0_1162_2,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_1162]) ).

cnf(c_0_1162_3,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_1162]) ).

cnf(c_0_1163_1,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_1163]) ).

cnf(c_0_1163_2,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_1163]) ).

cnf(c_0_1163_3,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_1163]) ).

cnf(c_0_1164_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_Progress_OWTrt_H(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_4,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9))
    | ~ c_Progress_OWTrt_H(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1165_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_4,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X9))
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X7),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X8,X9)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X7,X6,X8,tc_List_Olist(tc_String_Ochar)),X9) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1166_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3)),X5))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1167_1,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_1167]) ).

cnf(c_0_1167_2,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_1167]) ).

cnf(c_0_1168_1,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_1168]) ).

cnf(c_0_1168_2,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_1168]) ).

cnf(c_0_1169_1,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_2,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_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__Xhyps__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1170_1,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_2,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_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,v_sko__local__XFAssRed2__2__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1171_1,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_092_060_094isub_0622_H____,v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,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_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1171_2,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_092_060_094isub_0622_H____,v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1171_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_e_092_060_094isub_0622____,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_092_060_094isub_0622_H____,v_sko__local__XIH__1(X1,v_P,X2,v_e_092_060_094isub_0622_H____,v_h_Ha____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1172_1,axiom,
    ( c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OBlock(X6,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X6,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X7,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_Progress_OWTrt_H(X1,X4,c_Fun_Ofun__upd(X5,X6,c_Option_Ooption_OSome(X3,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | c_Objects_Otypeof__h(X4,X9) != c_Option_Ooption_OSome(X2,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OBlock(X6,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X6,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X7,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_Progress_OWTrt_H(X1,X4,c_Fun_Ofun__upd(X5,X6,c_Option_Ooption_OSome(X3,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | c_Objects_Otypeof__h(X4,X9) != c_Option_Ooption_OSome(X2,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X4,c_Fun_Ofun__upd(X5,X6,c_Option_Ooption_OSome(X3,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OBlock(X6,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X6,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X7,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8)
    | c_Objects_Otypeof__h(X4,X9) != c_Option_Ooption_OSome(X2,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_4,axiom,
    ( c_Objects_Otypeof__h(X4,X9) != c_Option_Ooption_OSome(X2,tc_Type_Oty)
    | ~ c_Progress_OWTrt_H(X1,X4,c_Fun_Ofun__upd(X5,X6,c_Option_Ooption_OSome(X3,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OBlock(X6,X3,c_Expr_Oexp_OSeq(c_Expr_Oexp_OLAss(X6,c_Expr_Oexp_OVal(X9,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X7,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1173_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_2,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_4,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_5,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_6,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X8)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1174_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_2,axiom,
    ( c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_4,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_5,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_6,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2))
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X8,X2)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X7,X3)
    | ~ c_Progress_OWTrt_H(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1175_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_2,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_4,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_5,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_6,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8),X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X8)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X8))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1176_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_2,axiom,
    ( c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_4,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_5,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_6,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2))
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X8,X2)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X7,X3)
    | ~ c_WellTypeRT_OWTrt(X1,X4,X5,X6,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X4,X5,c_Expr_Oexp_OCond(X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1177_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X5),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1177_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OTryCatch(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(c_Type_Oty_OClass(X5),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1178_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_4,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_5,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1179_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_4,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_5,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1180_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1180_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1181_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1181]) ).

cnf(c_0_1181_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAss(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1181]) ).

cnf(c_0_1182_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OTryCatch(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1182_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OTryCatch(X4,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1183_1,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X6),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X4)
    | ~ c_Decl_Ois__class(X1,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_1183]) ).

cnf(c_0_1183_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X6),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X4)
    | ~ c_Decl_Ois__class(X1,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_1183]) ).

cnf(c_0_1183_3,axiom,
    ( ~ c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X6),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_Decl_Ois__class(X1,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_1183]) ).

cnf(c_0_1183_4,axiom,
    ( ~ c_Decl_Ois__class(X1,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,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X6),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X7,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1183]) ).

cnf(c_0_1184_1,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_1184]) ).

cnf(c_0_1184_2,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_1184]) ).

cnf(c_0_1184_3,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_1184]) ).

cnf(c_0_1185_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBlock(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X5,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1185]) ).

cnf(c_0_1185_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X5,tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,X7)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBlock(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1185]) ).

cnf(c_0_1186_1,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_1186]) ).

cnf(c_0_1186_2,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_1186]) ).

cnf(c_0_1186_3,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_1186]) ).

cnf(c_0_1187_1,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_1187]) ).

cnf(c_0_1187_2,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_1187]) ).

cnf(c_0_1187_3,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_1187]) ).

cnf(c_0_1188_1,axiom,
    ( X1 = X2
    | c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_2,axiom,
    ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X1,X4,X5,X6),X2,X7,X5,X6) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X3,X2,X7,X5,X6),X1,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1189_1,axiom,
    ( c_WellType_OWT(X1,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X4),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,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_1189]) ).

cnf(c_0_1189_2,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,c_Fun_Ofun__upd(X2,X5,c_Option_Ooption_OSome(c_Type_Oty_OClass(X4),tc_Type_Oty),tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Type_Oty)),X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1190_1,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_1190]) ).

cnf(c_0_1190_2,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_1190]) ).

cnf(c_0_1190_3,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_1190]) ).

cnf(c_0_1191_1,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_1191]) ).

cnf(c_0_1191_2,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_1191]) ).

cnf(c_0_1191_3,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_1191]) ).

cnf(c_0_1192_1,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1192]) ).

cnf(c_0_1192_2,axiom,
    ( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1192]) ).

cnf(c_0_1193_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_1193]) ).

cnf(c_0_1193_2,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_1193]) ).

cnf(c_0_1193_3,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_1193]) ).

cnf(c_0_1194_1,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_1194]) ).

cnf(c_0_1194_2,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_1194]) ).

cnf(c_0_1194_3,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_1194]) ).

cnf(c_0_1195_1,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_1195]) ).

cnf(c_0_1195_2,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_1195]) ).

cnf(c_0_1195_3,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_1195]) ).

cnf(c_0_1196_1,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_1196]) ).

cnf(c_0_1196_2,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_1196]) ).

cnf(c_0_1197_1,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_1197]) ).

cnf(c_0_1197_2,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_1197]) ).

cnf(c_0_1198_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1198_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1198_3,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_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1199_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ 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_1199]) ).

cnf(c_0_1199_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1199]) ).

cnf(c_0_1199_3,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_OBinOp(X4,c_Expr_Obop_OEq,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1199]) ).

cnf(c_0_1200_1,axiom,
    ( c_Map_Omap__le(c_Fun_Ofun__upd(X1,X5,X6,X3,tc_Option_Ooption(X4)),c_Fun_Ofun__upd(X2,X5,X6,X3,tc_Option_Ooption(X4)),X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1200]) ).

cnf(c_0_1200_2,axiom,
    ( ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_Map_Omap__le(c_Fun_Ofun__upd(X1,X5,X6,X3,tc_Option_Ooption(X4)),c_Fun_Ofun__upd(X2,X5,X6,X3,tc_Option_Ooption(X4)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1200]) ).

cnf(c_0_1201_1,axiom,
    ( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1201_2,axiom,
    ( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1201_3,axiom,
    ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1202_1,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_1202]) ).

cnf(c_0_1202_2,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_1202]) ).

cnf(c_0_1202_3,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_1202]) ).

cnf(c_0_1203_1,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1203]) ).

cnf(c_0_1203_2,axiom,
    ( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1203]) ).

cnf(c_0_1204_1,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_1204]) ).

cnf(c_0_1204_2,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_1204]) ).

cnf(c_0_1204_3,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_1204]) ).

cnf(c_0_1205_1,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_1205]) ).

cnf(c_0_1205_2,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_1205]) ).

cnf(c_0_1205_3,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_1205]) ).

cnf(c_0_1206_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1206]) ).

cnf(c_0_1206_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,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_1206]) ).

cnf(c_0_1206_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1206]) ).

cnf(c_0_1207_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1207]) ).

cnf(c_0_1207_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OWhile(X4,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_1207]) ).

cnf(c_0_1207_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1207]) ).

cnf(c_0_1208_1,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1208_2,axiom,
    ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
    | c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1208_3,axiom,
    ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
    | c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1209_1,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1209]) ).

cnf(c_0_1209_2,axiom,
    ( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),X4,X5,X6)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,c_Expr_Oexp_OSeq(X3,c_Expr_Oexp_OWhile(X2,X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1209]) ).

cnf(c_0_1210_1,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1210]) ).

cnf(c_0_1210_2,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1210]) ).

cnf(c_0_1210_3,axiom,
    ( ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1210]) ).

cnf(c_0_1211_1,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1211]) ).

cnf(c_0_1211_2,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1211]) ).

cnf(c_0_1211_3,axiom,
    ( ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1211]) ).

cnf(c_0_1212_1,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1212_2,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1212_3,axiom,
    ( ~ c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),X6,X7,X3,X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_List_Olist__all2(c_Aux_Ofun__of(X5,X3,X4),c_List_Olist_OCons(X1,X6,X3),c_List_Olist_OCons(X2,X7,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1213_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X7,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X6))
    | hAPP(X3,X7) != c_Option_Ooption_OSome(X6,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1213_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X7,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X6))
    | hAPP(X3,X7) != c_Option_Ooption_OSome(X6,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1213_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X6))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X7,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | hAPP(X3,X7) != c_Option_Ooption_OSome(X6,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1213_4,axiom,
    ( hAPP(X3,X7) != c_Option_Ooption_OSome(X6,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X5),X6))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X7,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1214_1,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_1214]) ).

cnf(c_0_1214_2,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_1214]) ).

cnf(c_0_1215_1,axiom,
    ( c_Decl_Ois__class(X1,X4,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_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1215]) ).

cnf(c_0_1215_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_Decl_Ois__class(X1,X4,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_1215]) ).

cnf(c_0_1216_1,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_1216]) ).

cnf(c_0_1216_2,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_1216]) ).

cnf(c_0_1216_3,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_1216]) ).

cnf(c_0_1217_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1217_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1218_1,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_1218]) ).

cnf(c_0_1218_2,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_1218]) ).

cnf(c_0_1219_1,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_1219]) ).

cnf(c_0_1219_2,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_1219]) ).

cnf(c_0_1220_1,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_1220]) ).

cnf(c_0_1220_2,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_1220]) ).

cnf(c_0_1221_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAcc(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1221]) ).

cnf(c_0_1221_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OFAcc(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1221]) ).

cnf(c_0_1222_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCall(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1222_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCall(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1223_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1223_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OBinOp(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1224_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCond(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1224_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCond(X4,X6,X7,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1225_1,axiom,
    ( X1 = X2
    | hAPP(X3,X4) = c_Option_Ooption_OSome(X2,X5)
    | hAPP(c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(X1,X5),X7,tc_Option_Ooption(X5)),X4) != c_Option_Ooption_OSome(X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1225_2,axiom,
    ( hAPP(X3,X4) = c_Option_Ooption_OSome(X2,X5)
    | X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(X1,X5),X7,tc_Option_Ooption(X5)),X4) != c_Option_Ooption_OSome(X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1225_3,axiom,
    ( hAPP(c_Fun_Ofun__upd(X3,X6,c_Option_Ooption_OSome(X1,X5),X7,tc_Option_Ooption(X5)),X4) != c_Option_Ooption_OSome(X2,X5)
    | hAPP(X3,X4) = c_Option_Ooption_OSome(X2,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1226_1,axiom,
    ( X1 = X2
    | hAPP(X3,X1) = c_Option_Ooption_OSome(X4,X5)
    | hAPP(c_Fun_Ofun__upd(X3,X2,c_Option_Ooption_OSome(X6,X5),X7,tc_Option_Ooption(X5)),X1) != c_Option_Ooption_OSome(X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1226]) ).

cnf(c_0_1226_2,axiom,
    ( hAPP(X3,X1) = c_Option_Ooption_OSome(X4,X5)
    | X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,c_Option_Ooption_OSome(X6,X5),X7,tc_Option_Ooption(X5)),X1) != c_Option_Ooption_OSome(X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1226]) ).

cnf(c_0_1226_3,axiom,
    ( hAPP(c_Fun_Ofun__upd(X3,X2,c_Option_Ooption_OSome(X6,X5),X7,tc_Option_Ooption(X5)),X1) != c_Option_Ooption_OSome(X4,X5)
    | hAPP(X3,X1) = c_Option_Ooption_OSome(X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1226]) ).

cnf(c_0_1227_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1227_2,axiom,
    ( c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1227_3,axiom,
    ( ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1227_4,axiom,
    ( ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1227_5,axiom,
    ( ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1227_6,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X3),X2))
    | ~ c_WellType_OWT(X1,X4,X7,X2)
    | ~ c_WellType_OWT(X1,X4,X6,X3)
    | ~ c_WellType_OWT(X1,X4,X5,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X4,c_Expr_Oexp_OCond(X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X2)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1228_1,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_2,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_4,axiom,
    ( ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_5,axiom,
    ( ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_6,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7),X6))
    | ~ c_WellType_OWT(X1,X2,X5,X7)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X7))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1229_1,axiom,
    ( X3 = X6
    | hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X2) != c_Option_Ooption_OSome(X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1229_2,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X2) != c_Option_Ooption_OSome(X6,X4)
    | X3 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1230_1,axiom,
    ( X1 = X2
    | c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X1,X5),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,c_Option_Ooption_OSome(X2,X5),X6,tc_Option_Ooption(X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1230]) ).

cnf(c_0_1230_2,axiom,
    ( c_Fun_Ofun__upd(X3,X4,c_Option_Ooption_OSome(X1,X5),X6,tc_Option_Ooption(X5)) != c_Fun_Ofun__upd(X7,X4,c_Option_Ooption_OSome(X2,X5),X6,tc_Option_Ooption(X5))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1230]) ).

cnf(c_0_1231_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1231]) ).

cnf(c_0_1231_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCond(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1231]) ).

cnf(c_0_1232_1,axiom,
    ( c_WellType_OWT(X1,X2,X5,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1232]) ).

cnf(c_0_1232_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_OWT(X1,X2,X5,c_WellType_Osko__WellType__XWT__elim__cases__2__2(X2,X1,X6,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1232]) ).

cnf(c_0_1233_1,axiom,
    ( c_WellType_OWT(X1,X2,X4,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1233]) ).

cnf(c_0_1233_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_OWT(X1,X2,X4,c_WellType_Osko__WellType__XWT__elim__cases__2__1(X2,X1,X6,X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1233]) ).

cnf(c_0_1234_1,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_1234]) ).

cnf(c_0_1234_2,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_1234]) ).

cnf(c_0_1235_1,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_1235]) ).

cnf(c_0_1235_2,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_1235]) ).

cnf(c_0_1236_1,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_1236]) ).

cnf(c_0_1236_2,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_1236]) ).

cnf(c_0_1237_1,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_1237]) ).

cnf(c_0_1237_2,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_1237]) ).

cnf(c_0_1238_1,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_1238]) ).

cnf(c_0_1238_2,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_1238]) ).

cnf(c_0_1239_1,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_1239]) ).

cnf(c_0_1239_2,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_1239]) ).

cnf(c_0_1240_1,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_1240]) ).

cnf(c_0_1240_2,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_1240]) ).

cnf(c_0_1241_1,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_1241]) ).

cnf(c_0_1241_2,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_1241]) ).

cnf(c_0_1242_1,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),X5,X7,X2,X3)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1242]) ).

cnf(c_0_1242_2,axiom,
    ( ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3)
    | c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),X5,X7,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1242]) ).

cnf(c_0_1243_1,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_1243]) ).

cnf(c_0_1243_2,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_1243]) ).

cnf(c_0_1244_1,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_1244]) ).

cnf(c_0_1244_2,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_1244]) ).

cnf(c_0_1245_1,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_1245]) ).

cnf(c_0_1245_2,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_1245]) ).

cnf(c_0_1246_1,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_1246]) ).

cnf(c_0_1246_2,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_1246]) ).

cnf(c_0_1247_1,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1247]) ).

cnf(c_0_1247_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1247]) ).

cnf(c_0_1247_3,axiom,
    ( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1247]) ).

cnf(c_0_1248_1,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_1248]) ).

cnf(c_0_1248_2,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_1248]) ).

cnf(c_0_1249_1,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_1249]) ).

cnf(c_0_1249_2,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_1249]) ).

cnf(c_0_1250_1,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_1250]) ).

cnf(c_0_1250_2,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_1250]) ).

cnf(c_0_1250_3,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_1250]) ).

cnf(c_0_1251_1,axiom,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1251]) ).

cnf(c_0_1251_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1251]) ).

cnf(c_0_1251_3,axiom,
    ( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1251]) ).

cnf(c_0_1252_1,axiom,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1252_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1252_3,axiom,
    ( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1253_1,axiom,
    ( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1253_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
    | ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1253_3,axiom,
    ( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1254_1,axiom,
    ( c_List_Olist__all2(X1,X3,X6,X4,X7)
    | ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1254]) ).

cnf(c_0_1254_2,axiom,
    ( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
    | c_List_Olist__all2(X1,X3,X6,X4,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1254]) ).

cnf(c_0_1255_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,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_1255]) ).

cnf(c_0_1255_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,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_1255]) ).

cnf(c_0_1255_3,axiom,
    ( ~ c_Type_Ois__refT(X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Decl_Ois__class(X1,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_1255]) ).

cnf(c_0_1255_4,axiom,
    ( ~ c_Decl_Ois__class(X1,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1255]) ).

cnf(c_0_1256_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,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_1256]) ).

cnf(c_0_1256_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Type_Ois__refT(X5)
    | ~ c_Decl_Ois__class(X1,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_1256]) ).

cnf(c_0_1256_3,axiom,
    ( ~ c_Type_Ois__refT(X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6))
    | ~ c_Decl_Ois__class(X1,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_1256]) ).

cnf(c_0_1256_4,axiom,
    ( ~ c_Decl_Ois__class(X1,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Type_Ois__refT(X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1256]) ).

cnf(c_0_1257_1,axiom,
    ( c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1257]) ).

cnf(c_0_1257_2,axiom,
    ( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1257]) ).

cnf(c_0_1257_3,axiom,
    ( ~ c_Objects_Ohext(X2,X6)
    | ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
    | c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1257]) ).

cnf(c_0_1258_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OLAss(X6,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1258_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OLAss(X6,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1259_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1259_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OCast(X6,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1260_1,axiom,
    ( c_SmallStep_Oredp(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1260]) ).

cnf(c_0_1260_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1260]) ).

cnf(c_0_1261_1,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_1261]) ).

cnf(c_0_1261_2,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_1261]) ).

cnf(c_0_1262_1,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_1262]) ).

cnf(c_0_1262_2,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_1262]) ).

cnf(c_0_1263_1,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(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_1263]) ).

cnf(c_0_1263_2,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_OWhile(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_1263]) ).

cnf(c_0_1264_1,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_1264]) ).

cnf(c_0_1264_2,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_1264]) ).

cnf(c_0_1265_1,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X5,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1265]) ).

cnf(c_0_1265_2,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X5,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1265]) ).

cnf(c_0_1266_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1266]) ).

cnf(c_0_1266_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1266]) ).

cnf(c_0_1267_1,axiom,
    ( c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3),tc_Type_Oty) = c_Objects_Otypeof__h(X2,X4)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1267_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | c_Option_Ooption_OSome(c_Conform_Osko__Conform__Xconf__def__1__1(X1,X5,X2,X4,X3),tc_Type_Oty) = c_Objects_Otypeof__h(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1268_1,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_1268]) ).

cnf(c_0_1268_2,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_1268]) ).

cnf(c_0_1269_1,axiom,
    ( c_SmallStep_Oredp(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_SmallStep_Oredp(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1269]) ).

cnf(c_0_1269_2,axiom,
    ( ~ c_SmallStep_Oredp(X1,X2,X3,X4,X5)
    | c_SmallStep_Oredp(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_1269]) ).

cnf(c_0_1270_1,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_4,axiom,
    ( ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_5,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X6))
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X4,X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1271_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1271]) ).

cnf(c_0_1271_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_Type_Ois__refT(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1271]) ).

cnf(c_0_1271_3,axiom,
    ( ~ c_Type_Ois__refT(X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1271]) ).

cnf(c_0_1272_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Type_Ois__refT(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1272]) ).

cnf(c_0_1272_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_Type_Ois__refT(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1272]) ).

cnf(c_0_1272_3,axiom,
    ( ~ c_Type_Ois__refT(X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1272]) ).

cnf(c_0_1273_1,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_1273]) ).

cnf(c_0_1273_2,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_1273]) ).

cnf(c_0_1273_3,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_1273]) ).

cnf(c_0_1274_1,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_1274]) ).

cnf(c_0_1274_2,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_1274]) ).

cnf(c_0_1274_3,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_1274]) ).

cnf(c_0_1275_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_1275]) ).

cnf(c_0_1275_2,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_1275]) ).

cnf(c_0_1276_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_1276]) ).

cnf(c_0_1276_2,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_1276]) ).

cnf(c_0_1277_1,axiom,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T_092_060_094isub_0622____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1277]) ).

cnf(c_0_1277_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1)
    | v_thesis____
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T_092_060_094isub_0622____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1277]) ).

cnf(c_0_1277_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T_092_060_094isub_0622____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1)
    | v_thesis____ ),
    inference(literals_permutation,[status(thm)],[c_0_1277]) ).

cnf(c_0_1278_1,axiom,
    ( c_in(c_Pair(X4,X6,X2,X3),X1,tc_prod(X2,X3))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1278]) ).

cnf(c_0_1278_2,axiom,
    ( ~ c_List_Olist__all2(c_Aux_Ofun__of(X1,X2,X3),c_List_Olist_OCons(X4,X5,X2),c_List_Olist_OCons(X6,X7,X3),X2,X3)
    | c_in(c_Pair(X4,X6,X2,X3),X1,tc_prod(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1278]) ).

cnf(c_0_1279_1,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X4),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1279]) ).

cnf(c_0_1279_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X4),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1279]) ).

cnf(c_0_1279_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X4),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1279]) ).

cnf(c_0_1279_4,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X4),X6))
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1279]) ).

cnf(c_0_1280_1,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1280_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1280_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1280_4,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X6),X4))
    | ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OBinOp(X3,c_Expr_Obop_OEq,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1281_1,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_1281]) ).

cnf(c_0_1281_2,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_1281]) ).

cnf(c_0_1281_3,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_1281]) ).

cnf(c_0_1281_4,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_1281]) ).

cnf(c_0_1282_1,axiom,
    ( hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X6) = c_Option_Ooption_OSome(X7,X4)
    | X6 = X2
    | hAPP(X1,X6) != c_Option_Ooption_OSome(X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1282]) ).

cnf(c_0_1282_2,axiom,
    ( X6 = X2
    | hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X6) = c_Option_Ooption_OSome(X7,X4)
    | hAPP(X1,X6) != c_Option_Ooption_OSome(X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1282]) ).

cnf(c_0_1282_3,axiom,
    ( hAPP(X1,X6) != c_Option_Ooption_OSome(X7,X4)
    | X6 = X2
    | hAPP(c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)),X6) = c_Option_Ooption_OSome(X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1282]) ).

cnf(c_0_1283_1,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_1283]) ).

cnf(c_0_1283_2,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_1283]) ).

cnf(c_0_1283_3,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_1283]) ).

cnf(c_0_1284_1,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_1284]) ).

cnf(c_0_1284_2,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_1284]) ).

cnf(c_0_1284_3,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_1284]) ).

cnf(c_0_1285_1,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_1285]) ).

cnf(c_0_1285_2,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_1285]) ).

cnf(c_0_1285_3,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_1285]) ).

cnf(c_0_1286_1,axiom,
    ( X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1286]) ).

cnf(c_0_1286_2,axiom,
    ( hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1286]) ).

cnf(c_0_1287_1,axiom,
    ( X1 = X2
    | hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1287]) ).

cnf(c_0_1287_2,axiom,
    ( hAPP(c_Fun_Ofun__upd(X3,X2,X4,X5,X6),X1) = hAPP(X3,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1287]) ).

cnf(c_0_1288_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1288]) ).

cnf(c_0_1288_2,axiom,
    ( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
    | hBOOL(hAPP(hAPP(X1,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1288]) ).

cnf(c_0_1289_1,axiom,
    ( c_Decl_Ois__class(X1,X4,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_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1289]) ).

cnf(c_0_1289_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_Decl_Ois__class(X1,X4,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_1289]) ).

cnf(c_0_1290_1,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_1290]) ).

cnf(c_0_1290_2,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_1290]) ).

cnf(c_0_1291_1,axiom,
    ( c_Decl_Ois__class(X1,X4,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_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1291]) ).

cnf(c_0_1291_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Decl_Ois__class(X1,X4,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_1291]) ).

cnf(c_0_1292_1,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_1292]) ).

cnf(c_0_1292_2,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_1292]) ).

cnf(c_0_1293_1,axiom,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1293]) ).

cnf(c_0_1293_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OWhile(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | X6 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1293]) ).

cnf(c_0_1294_1,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_1294]) ).

cnf(c_0_1294_2,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_1294]) ).

cnf(c_0_1295_1,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_1295]) ).

cnf(c_0_1295_2,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_1295]) ).

cnf(c_0_1296_1,axiom,
    ( X5 = c_Type_Oty_OClass(X4)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1296]) ).

cnf(c_0_1296_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_Onew(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | X5 = c_Type_Oty_OClass(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1296]) ).

cnf(c_0_1297_1,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_1297]) ).

cnf(c_0_1297_2,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_1297]) ).

cnf(c_0_1298_1,axiom,
    ( hAPP(X1,X2) = X3
    | c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1298_2,axiom,
    ( c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1
    | hAPP(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1299_1,axiom,
    ( X2 = X3
    | ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1299_2,axiom,
    ( ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1300_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_1300]) ).

cnf(c_0_1300_2,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_1300]) ).

cnf(c_0_1301_1,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1301_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1301_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1302_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1302]) ).

cnf(c_0_1302_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1302]) ).

cnf(c_0_1303_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_1303]) ).

cnf(c_0_1303_2,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_1303]) ).

cnf(c_0_1304_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,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_1304]) ).

cnf(c_0_1304_2,axiom,
    ( ~ c_Decl_Ois__class(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1304]) ).

cnf(c_0_1305_1,axiom,
    ( c_Progress_OWTrt_H(X1,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,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_1305]) ).

cnf(c_0_1305_2,axiom,
    ( ~ c_Decl_Ois__class(X1,X2,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,X3,X4,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1305]) ).

cnf(c_0_1306_1,axiom,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1306]) ).

cnf(c_0_1306_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCond(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1306]) ).

cnf(c_0_1307_1,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_1307]) ).

cnf(c_0_1307_2,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_1307]) ).

cnf(c_0_1308_1,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
    | ~ c_Objects_Ohext(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1308_2,axiom,
    ( ~ c_Objects_Ohext(X1,X2)
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1308_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6))
    | ~ c_Objects_Ohext(X1,X2)
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1309_1,axiom,
    ( c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)) = X1
    | hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1309_2,axiom,
    ( hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
    | c_Fun_Ofun__upd(X1,X2,c_Option_Ooption_OSome(X3,X4),X5,tc_Option_Ooption(X4)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1310_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1310_2,axiom,
    ( c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1311_1,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1311]) ).

cnf(c_0_1311_2,axiom,
    ( c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1311]) ).

cnf(c_0_1312_1,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_1312]) ).

cnf(c_0_1312_2,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_1312]) ).

cnf(c_0_1312_3,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_1312]) ).

cnf(c_0_1313_1,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1313]) ).

cnf(c_0_1313_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1313]) ).

cnf(c_0_1313_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,X4,X5)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1313]) ).

cnf(c_0_1314_1,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_1314]) ).

cnf(c_0_1314_2,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_1314]) ).

cnf(c_0_1314_3,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_1314]) ).

cnf(c_0_1315_1,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_1315]) ).

cnf(c_0_1315_2,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_1315]) ).

cnf(c_0_1315_3,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_1315]) ).

cnf(c_0_1316_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Type_Oty_ONT),X4))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Value_Oval_ONull),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1316]) ).

cnf(c_0_1316_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Value_Oval_ONull),X4))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Type_Oty_ONT),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1316]) ).

cnf(c_0_1317_1,axiom,
    ( hAPP(X1,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X5,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) != c_Option_Ooption_OSome(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1317_2,axiom,
    ( hAPP(X5,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X1,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) != c_Option_Ooption_OSome(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1317_3,axiom,
    ( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) != c_Option_Ooption_OSome(X3,X4)
    | hAPP(X5,X2) = c_Option_Ooption_OSome(X3,X4)
    | hAPP(X1,X2) = c_Option_Ooption_OSome(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1318_1,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X5,X2),X6),X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | c_Objects_Otypeof__h(X5,X6) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1318_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X5,X2),X6),X4))
    | c_Objects_Otypeof__h(X5,X6) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1318_3,axiom,
    ( c_Objects_Otypeof__h(X5,X6) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X5,X2),X6),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1319_1,axiom,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1319]) ).

cnf(c_0_1319_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_WellType_OWT(X1,X2,X3,c_Type_Oty_OBoolean) ),
    inference(literals_permutation,[status(thm)],[c_0_1319]) ).

cnf(c_0_1320_1,axiom,
    ( X4 = c_Value_Oval_ONull
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),c_Type_Oty_ONT)) ),
    inference(literals_permutation,[status(thm)],[c_0_1320]) ).

cnf(c_0_1320_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),c_Type_Oty_ONT))
    | X4 = c_Value_Oval_ONull ),
    inference(literals_permutation,[status(thm)],[c_0_1320]) ).

cnf(c_0_1321_1,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X4,X2),c_Value_Oval_ONull),X3))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1321]) ).

cnf(c_0_1321_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),X3))
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X4,X2),c_Value_Oval_ONull),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1321]) ).

cnf(c_0_1322_1,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_1322]) ).

cnf(c_0_1322_2,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_1322]) ).

cnf(c_0_1322_3,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_1322]) ).

cnf(c_0_1323_1,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_1323]) ).

cnf(c_0_1323_2,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_1323]) ).

cnf(c_0_1324_1,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_1324]) ).

cnf(c_0_1324_2,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_1324]) ).

cnf(c_0_1325_1,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_1325]) ).

cnf(c_0_1325_2,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_1325]) ).

cnf(c_0_1326_1,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1326]) ).

cnf(c_0_1326_2,axiom,
    ( c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1326]) ).

cnf(c_0_1327_1,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1327]) ).

cnf(c_0_1327_2,axiom,
    ( c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1327]) ).

cnf(c_0_1328_1,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1328]) ).

cnf(c_0_1328_2,axiom,
    ( c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1328]) ).

cnf(c_0_1329_1,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_1329]) ).

cnf(c_0_1329_2,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_1329]) ).

cnf(c_0_1330_1,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_1330]) ).

cnf(c_0_1330_2,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_1330]) ).

cnf(c_0_1331_1,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_1331]) ).

cnf(c_0_1331_2,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_1331]) ).

cnf(c_0_1332_1,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_1332]) ).

cnf(c_0_1332_2,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_1332]) ).

cnf(c_0_1333_1,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_1333]) ).

cnf(c_0_1333_2,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_1333]) ).

cnf(c_0_1334_1,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_1334]) ).

cnf(c_0_1334_2,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_1334]) ).

cnf(c_0_1335_1,axiom,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1335]) ).

cnf(c_0_1335_2,axiom,
    ( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1335]) ).

cnf(c_0_1336_1,axiom,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1336]) ).

cnf(c_0_1336_2,axiom,
    ( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1336]) ).

cnf(c_0_1337_1,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_1337]) ).

cnf(c_0_1337_2,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_1337]) ).

cnf(c_0_1338_1,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_1338]) ).

cnf(c_0_1338_2,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_1338]) ).

cnf(c_0_1339_1,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_1339]) ).

cnf(c_0_1339_2,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_1339]) ).

cnf(c_0_1340_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1340_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1340_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1341_1,axiom,
    ( c_Decl_Ois__class(X1,X3,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_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1341]) ).

cnf(c_0_1341_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_Decl_Ois__class(X1,X3,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_1341]) ).

cnf(c_0_1342_1,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_1342]) ).

cnf(c_0_1342_2,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_1342]) ).

cnf(c_0_1343_1,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_1343]) ).

cnf(c_0_1343_2,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_1343]) ).

cnf(c_0_1344_1,axiom,
    ( c_Decl_Ois__class(X1,X3,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_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1344]) ).

cnf(c_0_1344_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4)
    | c_Decl_Ois__class(X1,X3,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_1344]) ).

cnf(c_0_1345_1,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_1345]) ).

cnf(c_0_1345_2,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_1345]) ).

cnf(c_0_1346_1,axiom,
    ( X5 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1346]) ).

cnf(c_0_1346_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OWhile(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | X5 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1346]) ).

cnf(c_0_1347_1,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1347]) ).

cnf(c_0_1347_2,axiom,
    ( hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4)
    | hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1347]) ).

cnf(c_0_1348_1,axiom,
    ( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4)
    | hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1348]) ).

cnf(c_0_1348_2,axiom,
    ( hAPP(X2,X5) != c_Option_Ooption_OSome(X6,X4)
    | hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = c_Option_Ooption_OSome(X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1348]) ).

cnf(c_0_1349_1,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
    | c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1349]) ).

cnf(c_0_1349_2,axiom,
    ( c_Objects_Otypeof__h(X2,X4) != c_Option_Ooption_OSome(X5,tc_Type_Oty)
    | hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1349]) ).

cnf(c_0_1350_0,axiom,
    ( c_WellType_OWT(X1,X3,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2))
    | ~ c_Decl_Ois__class(X1,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_1350]) ).

cnf(c_0_1350_1,axiom,
    ( ~ c_Decl_Ois__class(X1,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellType_OWT(X1,X3,c_Expr_Oexp_Onew(X2,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1350]) ).

cnf(c_0_1351_0,axiom,
    ( X4 = c_Type_Oty_OClass(X3)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1351]) ).

cnf(c_0_1351_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Onew(X3,tc_List_Olist(tc_String_Ochar)),X4)
    | X4 = c_Type_Oty_OClass(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1351]) ).

cnf(c_0_1352_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_1352]) ).

cnf(c_0_1352_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_1352]) ).

cnf(c_0_1353_0,axiom,
    ( c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X4)) = X4
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_OClass(X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1353]) ).

cnf(c_0_1353_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_OClass(X3)),X4))
    | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__XClass__widen__1__1(X4)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1353]) ).

cnf(c_0_1354_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_1354]) ).

cnf(c_0_1354_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_1354]) ).

cnf(c_0_1355_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_1355]) ).

cnf(c_0_1355_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_1355]) ).

cnf(c_0_1356_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_1356]) ).

cnf(c_0_1356_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_1356]) ).

cnf(c_0_1357_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1357]) ).

cnf(c_0_1357_1,axiom,
    ( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1357]) ).

cnf(c_0_1358_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1358]) ).

cnf(c_0_1358_1,axiom,
    ( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1358]) ).

cnf(c_0_1359_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_1359]) ).

cnf(c_0_1359_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_1359]) ).

cnf(c_0_1360_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_1360]) ).

cnf(c_0_1360_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_1360]) ).

cnf(c_0_1361_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1361]) ).

cnf(c_0_1361_1,axiom,
    ( c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1361]) ).

cnf(c_0_1362_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1362_1,axiom,
    ( c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1363_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_1363]) ).

cnf(c_0_1363_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_1363]) ).

cnf(c_0_1364_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_1364]) ).

cnf(c_0_1364_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_1364]) ).

cnf(c_0_1365_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1365]) ).

cnf(c_0_1365_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1365]) ).

cnf(c_0_1366_0,axiom,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1366_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | hBOOL(hAPP(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1367_0,axiom,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1367]) ).

cnf(c_0_1367_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1367]) ).

cnf(c_0_1368_0,axiom,
    ( c_Objects_Otypeof__h(X1,X2) = c_Option_Ooption_OSome(X3,tc_Type_Oty)
    | ~ c_Objects_Ohext(X4,X1)
    | c_Objects_Otypeof__h(X4,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1368]) ).

cnf(c_0_1368_1,axiom,
    ( ~ c_Objects_Ohext(X4,X1)
    | c_Objects_Otypeof__h(X1,X2) = c_Option_Ooption_OSome(X3,tc_Type_Oty)
    | c_Objects_Otypeof__h(X4,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1368]) ).

cnf(c_0_1368_2,axiom,
    ( c_Objects_Otypeof__h(X4,X2) != c_Option_Ooption_OSome(X3,tc_Type_Oty)
    | ~ c_Objects_Ohext(X4,X1)
    | c_Objects_Otypeof__h(X1,X2) = c_Option_Ooption_OSome(X3,tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1368]) ).

cnf(c_0_1369_0,axiom,
    ( c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1369_1,axiom,
    ( ~ c_Objects_Ohext(X1,X2)
    | c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1369_2,axiom,
    ( ~ c_Objects_Ohext(X2,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | c_Objects_Ohext(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1370_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1370]) ).

cnf(c_0_1370_1,axiom,
    ( c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1370]) ).

cnf(c_0_1371_0,axiom,
    ( X1 = X2
    | c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1371]) ).

cnf(c_0_1371_1,axiom,
    ( c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1371]) ).

cnf(c_0_1372_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1372_1,axiom,
    ( c_Expr_Oexp_Onew(X1,X3) != c_Expr_Oexp_Onew(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1373_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1373]) ).

cnf(c_0_1373_1,axiom,
    ( c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1373]) ).

cnf(c_0_1374_0,axiom,
    ( X1 = X2
    | c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1374]) ).

cnf(c_0_1374_1,axiom,
    ( c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1374]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_1351,negated_conjecture,
    ~ v_thesis____,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_1352,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_1353,negated_conjecture,
    ~ v_thesis____,
    c_0_1 ).

cnf(c_0_3_1354,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_1355,negated_conjecture,
    ~ v_thesis____,
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_954,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/iprover_modulo_0a2604.p',c_0_4) ).

cnf(c_1409,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_954]) ).

cnf(c_1413,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1409]) ).

cnf(c_1414,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1413]) ).

cnf(c_1415,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1414]) ).

cnf(c_4265,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1415]) ).

cnf(c_465,plain,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
    | v_thesis____ ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_0a2604.p',c_0_1277_1) ).

cnf(c_3301,plain,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
    | v_thesis____ ),
    inference(copy,[status(esa)],[c_465]) ).

cnf(c_4269,plain,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4265,c_3301]) ).

cnf(c_4270,plain,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0) ),
    inference(rewriting,[status(thm)],[c_4269]) ).

cnf(c_702,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_0a2604.p',c_0_1331_0) ).

cnf(c_3774,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    inference(copy,[status(esa)],[c_702]) ).

cnf(c_4299,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(resolution,[status(thm)],[c_4270,c_3774]) ).

cnf(c_4300,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(rewriting,[status(thm)],[c_4299]) ).

cnf(c_703,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_0a2604.p',c_0_1330_0) ).

cnf(c_3776,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(copy,[status(esa)],[c_703]) ).

cnf(c_4318,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4300,c_3776]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV961-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : iprover_modulo %s %d
% 0.15/0.37  % Computer : n017.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Tue Jun 14 23:45:54 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running in mono-core mode
% 0.55/0.71  % Orienting using strategy Equiv(ClausalAll)
% 0.55/0.71  % Orientation found
% 0.55/0.71  % 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_434982.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0a2604.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b1b0b3 | grep -v "SZS"
% 0.55/0.73  
% 0.55/0.73  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.55/0.73  
% 0.55/0.73  % 
% 0.55/0.73  % ------  iProver source info 
% 0.55/0.73  
% 0.55/0.73  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.55/0.73  % git: non_committed_changes: true
% 0.55/0.73  % git: last_make_outside_of_git: true
% 0.55/0.73  
% 0.55/0.73  % 
% 0.55/0.73  % ------ Input Options
% 0.55/0.73  
% 0.55/0.73  % --out_options                         all
% 0.55/0.73  % --tptp_safe_out                       true
% 0.55/0.73  % --problem_path                        ""
% 0.55/0.73  % --include_path                        ""
% 0.55/0.73  % --clausifier                          .//eprover
% 0.55/0.73  % --clausifier_options                  --tstp-format  
% 0.55/0.73  % --stdin                               false
% 0.55/0.73  % --dbg_backtrace                       false
% 0.55/0.73  % --dbg_dump_prop_clauses               false
% 0.55/0.73  % --dbg_dump_prop_clauses_file          -
% 0.55/0.73  % --dbg_out_stat                        false
% 0.55/0.73  
% 0.55/0.73  % ------ General Options
% 0.55/0.73  
% 0.55/0.73  % --fof                                 false
% 0.55/0.73  % --time_out_real                       150.
% 0.55/0.73  % --time_out_prep_mult                  0.2
% 0.55/0.73  % --time_out_virtual                    -1.
% 0.55/0.73  % --schedule                            none
% 0.55/0.73  % --ground_splitting                    input
% 0.55/0.73  % --splitting_nvd                       16
% 0.55/0.73  % --non_eq_to_eq                        false
% 0.55/0.73  % --prep_gs_sim                         true
% 0.55/0.73  % --prep_unflatten                      false
% 0.55/0.73  % --prep_res_sim                        true
% 0.55/0.73  % --prep_upred                          true
% 0.55/0.73  % --res_sim_input                       true
% 0.55/0.73  % --clause_weak_htbl                    true
% 0.55/0.73  % --gc_record_bc_elim                   false
% 0.55/0.73  % --symbol_type_check                   false
% 0.55/0.73  % --clausify_out                        false
% 0.55/0.73  % --large_theory_mode                   false
% 0.55/0.73  % --prep_sem_filter                     none
% 0.55/0.73  % --prep_sem_filter_out                 false
% 0.55/0.73  % --preprocessed_out                    false
% 0.55/0.73  % --sub_typing                          false
% 0.55/0.73  % --brand_transform                     false
% 0.55/0.73  % --pure_diseq_elim                     true
% 0.55/0.73  % --min_unsat_core                      false
% 0.55/0.73  % --pred_elim                           true
% 0.55/0.73  % --add_important_lit                   false
% 0.55/0.73  % --soft_assumptions                    false
% 0.55/0.73  % --reset_solvers                       false
% 0.55/0.73  % --bc_imp_inh                          []
% 0.55/0.73  % --conj_cone_tolerance                 1.5
% 0.55/0.73  % --prolific_symb_bound                 500
% 0.55/0.73  % --lt_threshold                        2000
% 0.55/0.73  
% 0.55/0.73  % ------ SAT Options
% 0.55/0.73  
% 0.55/0.73  % --sat_mode                            false
% 0.55/0.73  % --sat_fm_restart_options              ""
% 0.55/0.73  % --sat_gr_def                          false
% 0.55/0.73  % --sat_epr_types                       true
% 0.55/0.73  % --sat_non_cyclic_types                false
% 0.55/0.73  % --sat_finite_models                   false
% 0.55/0.73  % --sat_fm_lemmas                       false
% 0.55/0.73  % --sat_fm_prep                         false
% 0.55/0.73  % --sat_fm_uc_incr                      true
% 0.55/0.73  % --sat_out_model                       small
% 0.55/0.73  % --sat_out_clauses                     false
% 0.55/0.73  
% 0.55/0.73  % ------ QBF Options
% 0.55/0.73  
% 0.55/0.73  % --qbf_mode                            false
% 0.55/0.73  % --qbf_elim_univ                       true
% 0.55/0.73  % --qbf_sk_in                           true
% 0.55/0.73  % --qbf_pred_elim                       true
% 0.55/0.73  % --qbf_split                           32
% 0.55/0.73  
% 0.55/0.73  % ------ BMC1 Options
% 0.55/0.73  
% 0.55/0.73  % --bmc1_incremental                    false
% 0.55/0.73  % --bmc1_axioms                         reachable_all
% 0.55/0.73  % --bmc1_min_bound                      0
% 0.55/0.73  % --bmc1_max_bound                      -1
% 0.55/0.73  % --bmc1_max_bound_default              -1
% 0.55/0.73  % --bmc1_symbol_reachability            true
% 0.55/0.73  % --bmc1_property_lemmas                false
% 0.55/0.73  % --bmc1_k_induction                    false
% 0.55/0.73  % --bmc1_non_equiv_states               false
% 0.55/0.73  % --bmc1_deadlock                       false
% 0.55/0.73  % --bmc1_ucm                            false
% 0.55/0.73  % --bmc1_add_unsat_core                 none
% 0.55/0.73  % --bmc1_unsat_core_children            false
% 0.55/0.73  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.55/0.73  % --bmc1_out_stat                       full
% 0.55/0.73  % --bmc1_ground_init                    false
% 0.55/0.73  % --bmc1_pre_inst_next_state            false
% 0.55/0.73  % --bmc1_pre_inst_state                 false
% 0.55/0.73  % --bmc1_pre_inst_reach_state           false
% 0.55/0.73  % --bmc1_out_unsat_core                 false
% 0.55/0.73  % --bmc1_aig_witness_out                false
% 0.55/0.73  % --bmc1_verbose                        false
% 0.55/0.73  % --bmc1_dump_clauses_tptp              false
% 1.77/2.08  % --bmc1_dump_unsat_core_tptp           false
% 1.77/2.08  % --bmc1_dump_file                      -
% 1.77/2.08  % --bmc1_ucm_expand_uc_limit            128
% 1.77/2.08  % --bmc1_ucm_n_expand_iterations        6
% 1.77/2.08  % --bmc1_ucm_extend_mode                1
% 1.77/2.08  % --bmc1_ucm_init_mode                  2
% 1.77/2.08  % --bmc1_ucm_cone_mode                  none
% 1.77/2.08  % --bmc1_ucm_reduced_relation_type      0
% 1.77/2.08  % --bmc1_ucm_relax_model                4
% 1.77/2.08  % --bmc1_ucm_full_tr_after_sat          true
% 1.77/2.08  % --bmc1_ucm_expand_neg_assumptions     false
% 1.77/2.08  % --bmc1_ucm_layered_model              none
% 1.77/2.08  % --bmc1_ucm_max_lemma_size             10
% 1.77/2.08  
% 1.77/2.08  % ------ AIG Options
% 1.77/2.08  
% 1.77/2.08  % --aig_mode                            false
% 1.77/2.08  
% 1.77/2.08  % ------ Instantiation Options
% 1.77/2.08  
% 1.77/2.08  % --instantiation_flag                  true
% 1.77/2.08  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.77/2.08  % --inst_solver_per_active              750
% 1.77/2.08  % --inst_solver_calls_frac              0.5
% 1.77/2.08  % --inst_passive_queue_type             priority_queues
% 1.77/2.08  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.77/2.09  % --inst_passive_queues_freq            [25;2]
% 1.77/2.09  % --inst_dismatching                    true
% 1.77/2.09  % --inst_eager_unprocessed_to_passive   true
% 1.77/2.09  % --inst_prop_sim_given                 true
% 1.77/2.09  % --inst_prop_sim_new                   false
% 1.77/2.09  % --inst_orphan_elimination             true
% 1.77/2.09  % --inst_learning_loop_flag             true
% 1.77/2.09  % --inst_learning_start                 3000
% 1.77/2.09  % --inst_learning_factor                2
% 1.77/2.09  % --inst_start_prop_sim_after_learn     3
% 1.77/2.09  % --inst_sel_renew                      solver
% 1.77/2.09  % --inst_lit_activity_flag              true
% 1.77/2.09  % --inst_out_proof                      true
% 1.77/2.09  
% 1.77/2.09  % ------ Resolution Options
% 1.77/2.09  
% 1.77/2.09  % --resolution_flag                     true
% 1.77/2.09  % --res_lit_sel                         kbo_max
% 1.77/2.09  % --res_to_prop_solver                  none
% 1.77/2.09  % --res_prop_simpl_new                  false
% 1.77/2.09  % --res_prop_simpl_given                false
% 1.77/2.09  % --res_passive_queue_type              priority_queues
% 1.77/2.09  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.77/2.09  % --res_passive_queues_freq             [15;5]
% 1.77/2.09  % --res_forward_subs                    full
% 1.77/2.09  % --res_backward_subs                   full
% 1.77/2.09  % --res_forward_subs_resolution         true
% 1.77/2.09  % --res_backward_subs_resolution        true
% 1.77/2.09  % --res_orphan_elimination              false
% 1.77/2.09  % --res_time_limit                      1000.
% 1.77/2.09  % --res_out_proof                       true
% 1.77/2.09  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_434982.s
% 1.77/2.09  % --modulo                              true
% 1.77/2.09  
% 1.77/2.09  % ------ Combination Options
% 1.77/2.09  
% 1.77/2.09  % --comb_res_mult                       1000
% 1.77/2.09  % --comb_inst_mult                      300
% 1.77/2.09  % ------ 
% 1.77/2.09  
% 1.77/2.09  % ------ Parsing...% successful
% 1.77/2.09  
% 1.77/2.09  % ------ 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 % 
% 1.77/2.09  
% 1.77/2.09  % ------ Proving...
% 1.77/2.09  % ------ Problem Properties 
% 1.77/2.09  
% 1.77/2.09  % 
% 1.77/2.09  % EPR                                   false
% 1.77/2.09  % Horn                                  false
% 1.77/2.09  % Has equality                          true
% 1.77/2.09  
% 1.77/2.09  % % ------ Input Options Time Limit: Unbounded
% 1.77/2.09  
% 1.77/2.09  
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  Compiling...
% 1.77/2.09  Loading plugin: done.
% 1.77/2.09  % % ------ Current options:
% 1.77/2.09  
% 1.77/2.09  % ------ Input Options
% 1.77/2.09  
% 1.77/2.09  % --out_options                         all
% 1.77/2.09  % --tptp_safe_out                       true
% 1.77/2.09  % --problem_path                        ""
% 1.77/2.09  % --include_path                        ""
% 1.77/2.09  % --clausifier                          .//eprover
% 1.77/2.09  % --clausifier_options                  --tstp-format  
% 1.77/2.09  % --stdin                               false
% 1.77/2.09  % --dbg_backtrace                       false
% 1.77/2.09  % --dbg_dump_prop_clauses               false
% 1.77/2.09  % --dbg_dump_prop_clauses_file          -
% 1.77/2.09  % --dbg_out_stat                        false
% 1.77/2.09  
% 1.77/2.09  % ------ General Options
% 1.77/2.09  
% 1.77/2.09  % --fof                                 false
% 1.77/2.09  % --time_out_real                       150.
% 1.77/2.09  % --time_out_prep_mult                  0.2
% 1.77/2.09  % --time_out_virtual                    -1.
% 1.77/2.09  % --schedule                            none
% 1.77/2.09  % --ground_splitting                    input
% 1.77/2.09  % --splitting_nvd                       16
% 1.77/2.09  % --non_eq_to_eq                        false
% 1.77/2.09  % --prep_gs_sim                         true
% 1.77/2.09  % --prep_unflatten                      false
% 1.77/2.09  % --prep_res_sim                        true
% 1.77/2.09  % --prep_upred                          true
% 1.77/2.09  % --res_sim_input                       true
% 1.77/2.09  % --clause_weak_htbl                    true
% 1.77/2.09  % --gc_record_bc_elim                   false
% 1.77/2.09  % --symbol_type_check                   false
% 1.77/2.09  % --clausify_out                        false
% 1.77/2.09  % --large_theory_mode                   false
% 1.77/2.09  % --prep_sem_filter                     none
% 1.77/2.09  % --prep_sem_filter_out                 false
% 1.77/2.09  % --preprocessed_out                    false
% 1.77/2.09  % --sub_typing                          false
% 1.77/2.09  % --brand_transform                     false
% 1.77/2.09  % --pure_diseq_elim                     true
% 1.77/2.09  % --min_unsat_core                      false
% 1.77/2.09  % --pred_elim                           true
% 1.77/2.09  % --add_important_lit                   false
% 1.77/2.09  % --soft_assumptions                    false
% 1.77/2.09  % --reset_solvers                       false
% 1.77/2.09  % --bc_imp_inh                          []
% 1.77/2.09  % --conj_cone_tolerance                 1.5
% 1.77/2.09  % --prolific_symb_bound                 500
% 1.77/2.09  % --lt_threshold                        2000
% 1.77/2.09  
% 1.77/2.09  % ------ SAT Options
% 1.77/2.09  
% 1.77/2.09  % --sat_mode                            false
% 1.77/2.09  % --sat_fm_restart_options              ""
% 1.77/2.09  % --sat_gr_def                          false
% 1.77/2.09  % --sat_epr_types                       true
% 1.77/2.09  % --sat_non_cyclic_types                false
% 1.77/2.09  % --sat_finite_models                   false
% 1.77/2.09  % --sat_fm_lemmas                       false
% 1.77/2.09  % --sat_fm_prep                         false
% 1.77/2.09  % --sat_fm_uc_incr                      true
% 1.77/2.09  % --sat_out_model                       small
% 1.77/2.09  % --sat_out_clauses                     false
% 1.77/2.09  
% 1.77/2.09  % ------ QBF Options
% 1.77/2.09  
% 1.77/2.09  % --qbf_mode                            false
% 1.77/2.09  % --qbf_elim_univ                       true
% 1.77/2.09  % --qbf_sk_in                           true
% 1.77/2.09  % --qbf_pred_elim                       true
% 1.77/2.09  % --qbf_split                           32
% 1.77/2.09  
% 1.77/2.09  % ------ BMC1 Options
% 1.77/2.09  
% 1.77/2.09  % --bmc1_incremental                    false
% 1.77/2.09  % --bmc1_axioms                         reachable_all
% 1.77/2.09  % --bmc1_min_bound                      0
% 1.77/2.09  % --bmc1_max_bound                      -1
% 1.77/2.09  % --bmc1_max_bound_default              -1
% 1.77/2.09  % --bmc1_symbol_reachability            true
% 1.77/2.09  % --bmc1_property_lemmas                false
% 1.77/2.09  % --bmc1_k_induction                    false
% 1.77/2.09  % --bmc1_non_equiv_states               false
% 1.77/2.09  % --bmc1_deadlock                       false
% 1.77/2.09  % --bmc1_ucm                            false
% 1.77/2.09  % --bmc1_add_unsat_core                 none
% 1.77/2.09  % --bmc1_unsat_core_children            false
% 1.77/2.09  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.77/2.09  % --bmc1_out_stat                       full
% 1.77/2.09  % --bmc1_ground_init                    false
% 1.77/2.09  % --bmc1_pre_inst_next_state            false
% 1.77/2.09  % --bmc1_pre_inst_state                 false
% 1.77/2.09  % --bmc1_pre_inst_reach_state           false
% 1.77/2.09  % --bmc1_out_unsat_core                 false
% 1.77/2.09  % --bmc1_aig_witness_out                false
% 1.77/2.09  % --bmc1_verbose                        false
% 1.77/2.09  % --bmc1_dump_clauses_tptp              false
% 1.77/2.09  % --bmc1_dump_unsat_core_tptp           false
% 1.77/2.09  % --bmc1_dump_file                      -
% 1.77/2.09  % --bmc1_ucm_expand_uc_limit            128
% 1.77/2.09  % --bmc1_ucm_n_expand_iterations        6
% 1.77/2.09  % --bmc1_ucm_extend_mode                1
% 1.77/2.09  % --bmc1_ucm_init_mode                  2
% 1.77/2.09  % --bmc1_ucm_cone_mode                  none
% 1.77/2.09  % --bmc1_ucm_reduced_relation_type      0
% 1.77/2.09  % --bmc1_ucm_relax_model                4
% 1.77/2.09  % --bmc1_ucm_full_tr_after_sat          true
% 1.77/2.09  % --bmc1_ucm_expand_neg_assumptions     false
% 1.77/2.09  % --bmc1_ucm_layered_model              none
% 1.77/2.09  % --bmc1_ucm_max_lemma_size             10
% 1.77/2.09  
% 1.77/2.09  % ------ AIG Options
% 1.77/2.09  
% 1.77/2.09  % --aig_mode                            false
% 1.77/2.09  
% 1.77/2.09  % ------ Instantiation Options
% 1.77/2.09  
% 1.77/2.09  % --instantiation_flag                  true
% 1.77/2.09  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.77/2.09  % --inst_solver_per_active              750
% 1.77/2.09  % --inst_solver_calls_frac              0.5
% 1.77/2.09  % --inst_passive_queue_type             priority_queues
% 1.77/2.09  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.77/2.09  % --inst_passive_queues_freq            [25;2]
% 1.77/2.09  % --inst_dismatching                    true
% 1.77/2.09  % --inst_eager_unprocessed_to_passive   true
% 1.77/2.09  % --inst_prop_sim_given                 true
% 1.77/2.09  % --inst_prop_sim_new                   false
% 1.77/2.09  % --inst_orphan_elimination             true
% 1.77/2.09  % --inst_learning_loop_flag             true
% 1.77/2.09  % --inst_learning_start                 3000
% 1.77/2.09  % --inst_learning_factor                2
% 1.77/2.09  % --inst_start_prop_sim_after_learn     3
% 1.77/2.09  % --inst_sel_renew                      solver
% 1.77/2.09  % --inst_lit_activity_flag              true
% 1.77/2.09  % --inst_out_proof                      true
% 1.77/2.09  
% 1.77/2.09  % ------ Resolution Options
% 1.77/2.09  
% 1.77/2.09  % --resolution_flag                     true
% 1.77/2.09  % --res_lit_sel                         kbo_max
% 1.77/2.09  % --res_to_prop_solver                  none
% 1.77/2.09  % --res_prop_simpl_new                  false
% 1.77/2.09  % --res_prop_simpl_given                false
% 1.77/2.09  % --res_passive_queue_type              priority_queues
% 1.77/2.09  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.77/2.09  % --res_passive_queues_freq             [15;5]
% 1.77/2.09  % --res_forward_subs                    full
% 1.77/2.09  % --res_backward_subs                   full
% 1.77/2.09  % --res_forward_subs_resolution         true
% 1.77/2.09  % --res_backward_subs_resolution        true
% 1.77/2.09  % --res_orphan_elimination              false
% 1.77/2.09  % --res_time_limit                      1000.
% 1.77/2.09  % --res_out_proof                       true
% 1.77/2.09  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_434982.s
% 1.77/2.09  % --modulo                              true
% 1.77/2.09  
% 1.77/2.09  % ------ Combination Options
% 1.77/2.09  
% 1.77/2.09  % --comb_res_mult                       1000
% 1.77/2.09  % --comb_inst_mult                      300
% 1.77/2.09  % ------ 
% 1.77/2.09  
% 1.77/2.09  
% 1.77/2.09  
% 1.77/2.09  % ------ Proving...
% 1.77/2.09  % 
% 1.77/2.09  
% 1.77/2.09  
% 1.77/2.09  %  Resolution empty clause
% 1.77/2.09  
% 1.77/2.09  % ------                             Statistics
% 1.77/2.09  
% 1.77/2.09  % ------ General
% 1.77/2.09  
% 1.77/2.09  % num_of_input_clauses:                 955
% 1.77/2.09  % num_of_input_neg_conjectures:         1
% 1.77/2.09  % num_of_splits:                        0
% 1.77/2.09  % num_of_split_atoms:                   0
% 1.77/2.09  % num_of_sem_filtered_clauses:          0
% 1.77/2.09  % num_of_subtypes:                      0
% 1.77/2.09  % monotx_restored_types:                0
% 1.77/2.09  % sat_num_of_epr_types:                 0
% 1.77/2.09  % sat_num_of_non_cyclic_types:          0
% 1.77/2.09  % sat_guarded_non_collapsed_types:      0
% 1.77/2.09  % is_epr:                               0
% 1.77/2.09  % is_horn:                              0
% 1.77/2.09  % has_eq:                               1
% 1.77/2.09  % num_pure_diseq_elim:                  0
% 1.77/2.09  % simp_replaced_by:                     0
% 1.77/2.09  % res_preprocessed:                     2
% 1.77/2.09  % prep_upred:                           0
% 1.77/2.09  % prep_unflattend:                      0
% 1.77/2.09  % pred_elim_cands:                      0
% 1.77/2.09  % pred_elim:                            0
% 1.77/2.09  % pred_elim_cl:                         0
% 1.77/2.09  % pred_elim_cycles:                     0
% 1.77/2.09  % forced_gc_time:                       0
% 1.77/2.09  % gc_basic_clause_elim:                 0
% 1.77/2.09  % parsing_time:                         0.104
% 1.77/2.09  % sem_filter_time:                      0.
% 1.77/2.09  % pred_elim_time:                       0.
% 1.77/2.09  % out_proof_time:                       0.
% 1.77/2.09  % monotx_time:                          0.
% 1.77/2.09  % subtype_inf_time:                     0.
% 1.77/2.09  % unif_index_cands_time:                0.
% 1.77/2.09  % unif_index_add_time:                  0.006
% 1.77/2.09  % total_time:                           1.367
% 1.77/2.09  % num_of_symbols:                       119
% 1.77/2.09  % num_of_terms:                         5243
% 1.77/2.09  
% 1.77/2.09  % ------ Propositional Solver
% 1.77/2.09  
% 1.77/2.09  % prop_solver_calls:                    1
% 1.77/2.09  % prop_fast_solver_calls:               3
% 1.77/2.09  % prop_num_of_clauses:                  1269
% 1.77/2.09  % prop_preprocess_simplified:           2517
% 1.77/2.09  % prop_fo_subsumed:                     0
% 1.77/2.09  % prop_solver_time:                     0.
% 1.77/2.09  % prop_fast_solver_time:                0.
% 1.77/2.09  % prop_unsat_core_time:                 0.
% 1.77/2.09  
% 1.77/2.09  % ------ QBF 
% 1.77/2.09  
% 1.77/2.09  % qbf_q_res:                            0
% 1.77/2.09  % qbf_num_tautologies:                  0
% 1.77/2.09  % qbf_prep_cycles:                      0
% 1.77/2.09  
% 1.77/2.09  % ------ BMC1
% 1.77/2.09  
% 1.77/2.09  % bmc1_current_bound:                   -1
% 1.77/2.09  % bmc1_last_solved_bound:               -1
% 1.77/2.09  % bmc1_unsat_core_size:                 -1
% 1.77/2.09  % bmc1_unsat_core_parents_size:         -1
% 1.77/2.09  % bmc1_merge_next_fun:                  0
% 1.77/2.09  % bmc1_unsat_core_clauses_time:         0.
% 1.77/2.09  
% 1.77/2.09  % ------ Instantiation
% 1.77/2.09  
% 1.77/2.09  % inst_num_of_clauses:                  934
% 1.77/2.09  % inst_num_in_passive:                  0
% 1.77/2.09  % inst_num_in_active:                   0
% 1.77/2.09  % inst_num_in_unprocessed:              955
% 1.77/2.09  % inst_num_of_loops:                    0
% 1.77/2.09  % inst_num_of_learning_restarts:        0
% 1.77/2.09  % inst_num_moves_active_passive:        0
% 1.77/2.09  % inst_lit_activity:                    0
% 1.77/2.09  % inst_lit_activity_moves:              0
% 1.77/2.09  % inst_num_tautologies:                 0
% 1.77/2.09  % inst_num_prop_implied:                0
% 1.77/2.09  % inst_num_existing_simplified:         0
% 1.77/2.09  % inst_num_eq_res_simplified:           0
% 1.77/2.09  % inst_num_child_elim:                  0
% 1.77/2.09  % inst_num_of_dismatching_blockings:    0
% 1.77/2.09  % inst_num_of_non_proper_insts:         0
% 1.77/2.09  % inst_num_of_duplicates:               0
% 1.77/2.09  % inst_inst_num_from_inst_to_res:       0
% 1.77/2.09  % inst_dismatching_checking_time:       0.
% 1.77/2.09  
% 1.77/2.09  % ------ Resolution
% 1.77/2.09  
% 1.77/2.09  % res_num_of_clauses:                   1018
% 1.77/2.09  % res_num_in_passive:                   15
% 1.77/2.09  % res_num_in_active:                    577
% 1.77/2.09  % res_num_of_loops:                     5
% 1.77/2.09  % res_forward_subset_subsumed:          367
% 1.77/2.09  % res_backward_subset_subsumed:         0
% 1.77/2.09  % res_forward_subsumed:                 0
% 1.77/2.09  % res_backward_subsumed:                0
% 1.77/2.09  % res_forward_subsumption_resolution:   1
% 1.77/2.09  % res_backward_subsumption_resolution:  1
% 1.77/2.09  % res_clause_to_clause_subsumption:     3
% 1.77/2.09  % res_orphan_elimination:               0
% 1.77/2.09  % res_tautology_del:                    0
% 1.77/2.09  % res_num_eq_res_simplified:            0
% 1.77/2.09  % res_num_sel_changes:                  0
% 1.77/2.09  % res_moves_from_active_to_pass:        0
% 1.77/2.09  
% 1.77/2.09  % Status Unsatisfiable
% 1.77/2.09  % SZS status Unsatisfiable
% 1.77/2.09  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------