TSTP Solution File: SWV963-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV963-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.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 19:23:39 EDT 2022
% Result : Unsatisfiable 1.00s 1.28s
% Output : CNFRefutation 1.00s
% 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_null_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_ONT),
input ).
fof(cls_null_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_ONT)
| $false ),
inference(orientation,[status(thm)],[cls_null_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_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_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_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_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_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_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_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_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_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_calculation_0,axiom,
v_v____ = c_Value_Oval_ONull,
input ).
fof(cls_calculation_0_0,plain,
( v_v____ = c_Value_Oval_ONull
| $false ),
inference(orientation,[status(thm)],[cls_calculation_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_I154_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a),
input ).
fof(cls_exp_Osimps_I154_J_0_0,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I154_J_0]) ).
cnf(cls_ty_Osimps_I20_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H),
input ).
fof(cls_ty_Osimps_I20_J_0_0,plain,
! [V_list_H] :
( c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H)
| $false ),
inference(orientation,[status(thm)],[cls_ty_Osimps_I20_J_0]) ).
cnf(cls_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_red__reds_ORedCondF_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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(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_ORedCondF_0_0,plain,
! [V_P,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_OVal(c_Value_Oval_OBool(c_False),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(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_ORedCondF_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_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_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_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_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_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_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_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_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_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_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_redp__redsp_ORedCondF_0,axiom,
c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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,V_e_092_060_094isub_0622,V_s),
input ).
fof(cls_redp__redsp_ORedCondF_0_0,plain,
! [V_P,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_OVal(c_Value_Oval_OBool(c_False),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,V_e_092_060_094isub_0622,V_s)
| $false ),
inference(orientation,[status(thm)],[cls_redp__redsp_ORedCondF_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_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_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_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_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_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_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_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_red__reds_OCastThrow_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
input ).
fof(cls_red__reds_OCastThrow_0_0,plain,
! [V_C,V_P,V_e,V_s] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| $false ),
inference(orientation,[status(thm)],[cls_red__reds_OCastThrow_0]) ).
cnf(cls_exp_Osimps_I188_J_0,axiom,
c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
input ).
fof(cls_exp_Osimps_I188_J_0_0,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I188_J_0]) ).
cnf(cls_exp_Osimps_I97_J_0,axiom,
c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
input ).
fof(cls_exp_Osimps_I97_J_0_0,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
( c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I97_J_0]) ).
cnf(cls_exp_Osimps_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_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_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_exp_Osimps_I74_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a),
input ).
fof(cls_exp_Osimps_I74_J_0_0,plain,
! [T_a,V_a_H,V_exp_H,V_val] :
( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I74_J_0]) ).
cnf(cls_exp_Osimps_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_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_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]) ).
cnf(cls_red__reds_OInitBlockThrow_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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_OInitBlockThrow_0_0,plain,
! [V_P,V_T,V_V,V_a,V_s,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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_OInitBlockThrow_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_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_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_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_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_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_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_I60_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
input ).
fof(cls_exp_Osimps_I60_J_0_0,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I60_J_0]) ).
cnf(cls_exp_Osimps_I194_J_0,axiom,
c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
input ).
fof(cls_exp_Osimps_I194_J_0_0,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I194_J_0]) ).
cnf(cls_exp_Osimps_I80_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
input ).
fof(cls_exp_Osimps_I80_J_0_0,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I80_J_0]) ).
cnf(cls_exp_Osimps_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_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_I53_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
input ).
fof(cls_exp_Osimps_I53_J_0_0,plain,
! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
( c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I53_J_0]) ).
cnf(cls_exp_Osimps_I156_J_0,axiom,
c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
input ).
fof(cls_exp_Osimps_I156_J_0_0,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I156_J_0]) ).
cnf(cls_exp_Osimps_I112_J_0,axiom,
c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
input ).
fof(cls_exp_Osimps_I112_J_0_0,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I112_J_0]) ).
cnf(cls_exp_Osimps_I210_J_0,axiom,
c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
input ).
fof(cls_exp_Osimps_I210_J_0_0,plain,
! [T_a,V_exp1,V_exp2,V_exp_H] :
( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I210_J_0]) ).
cnf(cls_exp_Osimps_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_I55_J_0,axiom,
c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
input ).
fof(cls_exp_Osimps_I55_J_0_0,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
( c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I55_J_0]) ).
cnf(cls_exp_Osimps_I146_J_0,axiom,
c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
input ).
fof(cls_exp_Osimps_I146_J_0_0,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I146_J_0]) ).
cnf(cls_exp_Osimps_I62_J_0,axiom,
c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
input ).
fof(cls_exp_Osimps_I62_J_0_0,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I62_J_0]) ).
cnf(cls_exp_Osimps_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_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_I225_J_0,axiom,
c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_Othrow(V_exp,T_a),
input ).
fof(cls_exp_Osimps_I225_J_0_0,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_Othrow(V_exp,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I225_J_0]) ).
cnf(cls_exp_Osimps_I141_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
input ).
fof(cls_exp_Osimps_I141_J_0_0,plain,
! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I141_J_0]) ).
cnf(cls_red__reds_OLAssThrow_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
input ).
fof(cls_red__reds_OLAssThrow_0_0,plain,
! [V_P,V_V,V_e,V_s] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| $false ),
inference(orientation,[status(thm)],[cls_red__reds_OLAssThrow_0]) ).
cnf(cls_exp_Osimps_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_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_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_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_red__reds_ORedCondT_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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(V_e_092_060_094isub_0621,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_ORedCondT_0_0,plain,
! [V_P,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_OVal(c_Value_Oval_OBool(c_True),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(V_e_092_060_094isub_0621,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_ORedCondT_0]) ).
cnf(cls_red__reds_OBlockThrow_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_OBlockThrow_0_0,plain,
! [V_P,V_T,V_V,V_a,V_s] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_OBlockThrow_0]) ).
cnf(cls_redp__redsp_OInitBlockThrow_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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s),
input ).
fof(cls_redp__redsp_OInitBlockThrow_0_0,plain,
! [V_P,V_T,V_V,V_a,V_s,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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s)
| $false ),
inference(orientation,[status(thm)],[cls_redp__redsp_OInitBlockThrow_0]) ).
cnf(cls_redp__redsp_OBlockThrow_0,axiom,
c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s),
input ).
fof(cls_redp__redsp_OBlockThrow_0_0,plain,
! [V_P,V_T,V_V,V_a,V_s] :
( c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s)
| $false ),
inference(orientation,[status(thm)],[cls_redp__redsp_OBlockThrow_0]) ).
cnf(cls_val_Osimps_I16_J_0,axiom,
c_Value_Oval_ONull != c_Value_Oval_OAddr(V_nat_H),
input ).
fof(cls_val_Osimps_I16_J_0_0,plain,
! [V_nat_H] :
( c_Value_Oval_ONull != c_Value_Oval_OAddr(V_nat_H)
| $false ),
inference(orientation,[status(thm)],[cls_val_Osimps_I16_J_0]) ).
cnf(cls_val_Osimps_I10_J_0,axiom,
c_Value_Oval_OUnit != c_Value_Oval_OAddr(V_nat_H),
input ).
fof(cls_val_Osimps_I10_J_0_0,plain,
! [V_nat_H] :
( c_Value_Oval_OUnit != c_Value_Oval_OAddr(V_nat_H)
| $false ),
inference(orientation,[status(thm)],[cls_val_Osimps_I10_J_0]) ).
cnf(cls_redp__redsp_ORedCondT_0,axiom,
c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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,V_e_092_060_094isub_0621,V_s),
input ).
fof(cls_redp__redsp_ORedCondT_0_0,plain,
! [V_P,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_OVal(c_Value_Oval_OBool(c_True),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,V_e_092_060_094isub_0621,V_s)
| $false ),
inference(orientation,[status(thm)],[cls_redp__redsp_ORedCondT_0]) ).
cnf(cls_val_Osimps_I17_J_0,axiom,
c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_ONull,
input ).
fof(cls_val_Osimps_I17_J_0_0,plain,
! [V_nat_H] :
( c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_ONull
| $false ),
inference(orientation,[status(thm)],[cls_val_Osimps_I17_J_0]) ).
cnf(cls_val_Osimps_I11_J_0,axiom,
c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_OUnit,
input ).
fof(cls_val_Osimps_I11_J_0_0,plain,
! [V_nat_H] :
( c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_OUnit
| $false ),
inference(orientation,[status(thm)],[cls_val_Osimps_I11_J_0]) ).
fof(def_lhs_atom1,axiom,
! [V_nat_H] :
( lhs_atom1(V_nat_H)
<=> c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_OUnit ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [V_nat_H] :
( lhs_atom1(V_nat_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_val_Osimps_I11_J_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_nat_H] :
( lhs_atom2(V_nat_H)
<=> c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_ONull ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [V_nat_H] :
( lhs_atom2(V_nat_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_val_Osimps_I17_J_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P] :
( lhs_atom3(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
<=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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,V_e_092_060_094isub_0621,V_s) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [V_P,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
( lhs_atom3(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedCondT_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_nat_H] :
( lhs_atom4(V_nat_H)
<=> c_Value_Oval_OUnit != c_Value_Oval_OAddr(V_nat_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [V_nat_H] :
( lhs_atom4(V_nat_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_val_Osimps_I10_J_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_nat_H] :
( lhs_atom5(V_nat_H)
<=> c_Value_Oval_ONull != c_Value_Oval_OAddr(V_nat_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [V_nat_H] :
( lhs_atom5(V_nat_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_val_Osimps_I16_J_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_s,V_a,V_V,V_T,V_P] :
( lhs_atom6(V_s,V_a,V_V,V_T,V_P)
<=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [V_P,V_T,V_V,V_a,V_s] :
( lhs_atom6(V_s,V_a,V_V,V_T,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OBlockThrow_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_v,V_s,V_a,V_V,V_T,V_P] :
( lhs_atom7(V_v,V_s,V_a,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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [V_P,V_T,V_V,V_a,V_s,V_v] :
( lhs_atom7(V_v,V_s,V_a,V_V,V_T,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OInitBlockThrow_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_s,V_a,V_V,V_T,V_P] :
( lhs_atom8(V_s,V_a,V_V,V_T,V_P)
<=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(V_V,V_T,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_7,plain,
! [V_P,V_T,V_V,V_a,V_s] :
( lhs_atom8(V_s,V_a,V_V,V_T,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OBlockThrow_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P] :
( lhs_atom9(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
<=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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(V_e_092_060_094isub_0621,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_P,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
( lhs_atom9(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_ORedCondT_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom10(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_9,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
( lhs_atom10(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_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_m3,V_m2,V_m1,T_b,T_a] :
( lhs_atom11(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_10,plain,
! [T_a,T_b,V_m1,V_m2,V_m3] :
( lhs_atom11(V_m3,V_m2,V_m1,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_map__add__assoc_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V_exp_H,V_exp3,V_exp2,V_exp1,T_a] :
( lhs_atom12(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_11,plain,
! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
( lhs_atom12(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_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom13(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_12,plain,
! [T_a,V_exp1,V_exp2,V_exp_H] :
( lhs_atom13(V_exp_H,V_exp2,V_exp1,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I220_J_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V_ty,V_exp_H,V_exp,V_a,T_a] :
( lhs_atom14(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_13,plain,
! [T_a,V_a,V_exp,V_exp_H,V_ty] :
( lhs_atom14(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_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V_list,V_exp_H,V_exp,T_a] :
( lhs_atom15(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_14,plain,
! [T_a,V_exp,V_exp_H,V_list] :
( lhs_atom15(V_list,V_exp_H,V_exp,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I66_J_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom16(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_15,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_ty] :
( lhs_atom16(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_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom17(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_16,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
( lhs_atom17(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_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V_val_H,V_list,V_exp,T_a] :
( lhs_atom18(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_17,plain,
! [T_a,V_exp,V_list,V_val_H] :
( lhs_atom18(V_val_H,V_list,V_exp,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I44_J_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom19(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
<=> c_Expr_Oexp_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_18,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
( lhs_atom19(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I145_J_0_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom20(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_19,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
( lhs_atom20(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_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V_ty,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom21(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_20,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_ty] :
( lhs_atom21(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_atom21]) ).
fof(def_lhs_atom22,axiom,
! [V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom22(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_21,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list,V_ty_H] :
( lhs_atom22(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_atom22]) ).
fof(def_lhs_atom23,axiom,
! [V_s,V_e,V_V,V_P] :
( lhs_atom23(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_22,plain,
! [V_P,V_V,V_e,V_s] :
( lhs_atom23(V_s,V_e,V_V,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OLAssThrow_0_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
( lhs_atom24(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_23,plain,
! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom24(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_atom24]) ).
fof(def_lhs_atom25,axiom,
! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom25(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_24,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
( lhs_atom25(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_atom25]) ).
fof(def_lhs_atom26,axiom,
! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom26(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_25,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
( lhs_atom26(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_atom26]) ).
fof(def_lhs_atom27,axiom,
! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom27(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_26,plain,
! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( lhs_atom27(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_atom27]) ).
fof(def_lhs_atom28,axiom,
! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom28(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_27,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
( lhs_atom28(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_atom28]) ).
fof(def_lhs_atom29,axiom,
! [V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom29(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_28,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
( lhs_atom29(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_atom29]) ).
fof(def_lhs_atom30,axiom,
! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom30(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_29,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
( lhs_atom30(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_atom30]) ).
fof(def_lhs_atom31,axiom,
! [V_ty,V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
( lhs_atom31(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_30,plain,
! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H,V_ty] :
( lhs_atom31(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_atom31]) ).
fof(def_lhs_atom32,axiom,
! [V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom32(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_31,plain,
! [T_a,V_exp1,V_exp2,V_exp_H] :
( lhs_atom32(V_exp_H,V_exp2,V_exp1,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I210_J_0_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
( lhs_atom33(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_32,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
( lhs_atom33(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_atom33]) ).
fof(def_lhs_atom34,axiom,
! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a] :
( lhs_atom34(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_33,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( lhs_atom34(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_atom34]) ).
fof(def_lhs_atom35,axiom,
! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
( lhs_atom35(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_34,plain,
! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
( lhs_atom35(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_atom35]) ).
fof(def_lhs_atom36,axiom,
! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom36(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_35,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
( lhs_atom36(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_atom36]) ).
fof(def_lhs_atom37,axiom,
! [V_s,V_e,V_V,V_P] :
( lhs_atom37(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_36,plain,
! [V_P,V_V,V_e,V_s] :
( lhs_atom37(V_s,V_e,V_V,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OLAssThrow_0_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
! [V_exp_H,V_exp,V_a,T_a] :
( lhs_atom38(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_37,plain,
! [T_a,V_a,V_exp,V_exp_H] :
( lhs_atom38(V_exp_H,V_exp,V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I151_J_0_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
( lhs_atom39(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_38,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H,V_ty_H] :
( lhs_atom39(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_atom39]) ).
fof(def_lhs_atom40,axiom,
! [V_s,V_es,V_e,V_P,V_M] :
( lhs_atom40(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_39,plain,
! [V_M,V_P,V_e,V_es,V_s] :
( lhs_atom40(V_s,V_es,V_e,V_P,V_M)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OCallThrowObj_0_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V_val,V_exp_H,T_a] :
( lhs_atom41(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_40,plain,
! [T_a,V_exp_H,V_val] :
( lhs_atom41(V_val,V_exp_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I90_J_0_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a] :
( lhs_atom42(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_41,plain,
! [T_a,V_a,V_a_H,V_exp,V_exp_H,V_ty_H] :
( lhs_atom42(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_atom42]) ).
fof(def_lhs_atom43,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
( lhs_atom43(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_42,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom43(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_atom43]) ).
fof(def_lhs_atom44,axiom,
! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom44(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_43,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
( lhs_atom44(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_atom44]) ).
fof(def_lhs_atom45,axiom,
! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom45(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_44,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
( lhs_atom45(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_atom45]) ).
fof(def_lhs_atom46,axiom,
! [V_val,V_ty_H,V_exp_H,V_a_H,T_a] :
( lhs_atom46(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_45,plain,
! [T_a,V_a_H,V_exp_H,V_ty_H,V_val] :
( lhs_atom46(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_atom46]) ).
fof(def_lhs_atom47,axiom,
! [V_val_H,V_list,V_exp,T_a] :
( lhs_atom47(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_46,plain,
! [T_a,V_exp,V_list,V_val_H] :
( lhs_atom47(V_val_H,V_list,V_exp,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I45_J_0_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom48(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_47,plain,
! [T_a,V_exp1,V_exp2,V_exp_H] :
( lhs_atom48(V_exp_H,V_exp2,V_exp1,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I221_J_0_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [V_list,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom49(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_48,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
( lhs_atom49(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_atom49]) ).
fof(def_lhs_atom50,axiom,
! [V_ty,V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
( lhs_atom50(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_49,plain,
! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H,V_ty] :
( lhs_atom50(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_atom50]) ).
fof(def_lhs_atom51,axiom,
! [V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom51(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_50,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
( lhs_atom51(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_atom51]) ).
fof(def_lhs_atom52,axiom,
! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
( lhs_atom52(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_51,plain,
! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
( lhs_atom52(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_atom52]) ).
fof(def_lhs_atom53,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom53(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_52,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom53(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_atom53]) ).
fof(def_lhs_atom54,axiom,
! [V_v,V_u,V_s,V_V,V_T,V_P] :
( lhs_atom54(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_53,plain,
! [V_P,V_T,V_V,V_s,V_u,V_v] :
( lhs_atom54(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_atom54]) ).
fof(def_lhs_atom55,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom55(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_54,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom55(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_atom55]) ).
fof(def_lhs_atom56,axiom,
! [V_v,V_s,V_a,V_V,V_T,V_P] :
( lhs_atom56(V_v,V_s,V_a,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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),tc_List_Olist(tc_String_Ochar)),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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a),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_55,plain,
! [V_P,V_T,V_V,V_a,V_s,V_v] :
( lhs_atom56(V_v,V_s,V_a,V_V,V_T,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OInitBlockThrow_0_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
! [V_exp_H,V_exp3,V_exp2,V_exp1,T_a] :
( lhs_atom57(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_56,plain,
! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
( lhs_atom57(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_atom57]) ).
fof(def_lhs_atom58,axiom,
! [V_ty_H,V_exp_H,V_exp,V_a_H,V_a,T_a] :
( lhs_atom58(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_57,plain,
! [T_a,V_a,V_a_H,V_exp,V_exp_H,V_ty_H] :
( lhs_atom58(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_atom58]) ).
fof(def_lhs_atom59,axiom,
! [V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a] :
( lhs_atom59(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_58,plain,
! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
( lhs_atom59(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_atom59]) ).
fof(def_lhs_atom60,axiom,
! [V_ty_H,V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
( lhs_atom60(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_59,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H,V_ty_H] :
( lhs_atom60(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_atom60]) ).
fof(def_lhs_atom61,axiom,
! [V_val,V_exp_H,V_a_H,T_a] :
( lhs_atom61(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_60,plain,
! [T_a,V_a_H,V_exp_H,V_val] :
( lhs_atom61(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_atom61]) ).
fof(def_lhs_atom62,axiom,
! [V_s,V_e,V_P] :
( lhs_atom62(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_61,plain,
! [V_P,V_e,V_s] :
( lhs_atom62(V_s,V_e,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OThrowThrow_0_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
! [V_exp_H,V_exp,V_a,T_a] :
( lhs_atom63(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_62,plain,
! [T_a,V_a,V_exp,V_exp_H] :
( lhs_atom63(V_exp_H,V_exp,V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I150_J_0_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
! [V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a] :
( lhs_atom64(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_63,plain,
! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
( lhs_atom64(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_atom64]) ).
fof(def_lhs_atom65,axiom,
! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom65(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_64,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
( lhs_atom65(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_atom65]) ).
fof(def_lhs_atom66,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P] :
( lhs_atom66(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_65,plain,
! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
( lhs_atom66(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_atom66]) ).
fof(def_lhs_atom67,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
( lhs_atom67(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_66,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom67(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_atom67]) ).
fof(def_lhs_atom68,axiom,
! [V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
( lhs_atom68(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_67,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
( lhs_atom68(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_atom68]) ).
fof(def_lhs_atom69,axiom,
! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom69(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_68,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( lhs_atom69(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_atom69]) ).
fof(def_lhs_atom70,axiom,
! [V_s,V_e,V_P,V_C] :
( lhs_atom70(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_69,plain,
! [V_C,V_P,V_e,V_s] :
( lhs_atom70(V_s,V_e,V_P,V_C)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OCastThrow_0_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom71(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_70,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
( lhs_atom71(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_atom71]) ).
fof(def_lhs_atom72,axiom,
! [V_s,V_es,V_e,V_P,V_M] :
( lhs_atom72(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_71,plain,
! [V_M,V_P,V_e,V_es,V_s] :
( lhs_atom72(V_s,V_es,V_e,V_P,V_M)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OCallThrowObj_0_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom73(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_72,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom73(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_atom73]) ).
fof(def_lhs_atom74,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
( lhs_atom74(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_73,plain,
! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom74(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_atom74]) ).
fof(def_lhs_atom75,axiom,
! [V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom75(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_74,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
( lhs_atom75(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_atom75]) ).
fof(def_lhs_atom76,axiom,
! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
( lhs_atom76(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_75,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
( lhs_atom76(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_atom76]) ).
fof(def_lhs_atom77,axiom,
! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom77(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_76,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
( lhs_atom77(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_atom77]) ).
fof(def_lhs_atom78,axiom,
! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom78(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_77,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
( lhs_atom78(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_atom78]) ).
fof(def_lhs_atom79,axiom,
! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom79(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_78,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
( lhs_atom79(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_atom79]) ).
fof(def_lhs_atom80,axiom,
! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom80(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
<=> c_Expr_Oexp_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_79,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
( lhs_atom80(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I64_J_0_0,def_lhs_atom80]) ).
fof(def_lhs_atom81,axiom,
! [V_list,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom81(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_80,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
( lhs_atom81(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_atom81]) ).
fof(def_lhs_atom82,axiom,
! [V_ty,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom82(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_81,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_ty] :
( lhs_atom82(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_atom82]) ).
fof(def_lhs_atom83,axiom,
! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom83(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_82,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
( lhs_atom83(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_atom83]) ).
fof(def_lhs_atom84,axiom,
! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom84(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_83,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( lhs_atom84(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_atom84]) ).
fof(def_lhs_atom85,axiom,
! [V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom85(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_84,plain,
! [T_a,V_exp1,V_exp2,V_exp_H] :
( lhs_atom85(V_exp_H,V_exp2,V_exp1,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I211_J_0_0,def_lhs_atom85]) ).
fof(def_lhs_atom86,axiom,
! [V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom86(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_85,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
( lhs_atom86(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_atom86]) ).
fof(def_lhs_atom87,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
( lhs_atom87(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_86,plain,
! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom87(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_atom87]) ).
fof(def_lhs_atom88,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
( lhs_atom88(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_87,plain,
! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom88(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_atom88]) ).
fof(def_lhs_atom89,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
( lhs_atom89(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_88,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom89(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_atom89]) ).
fof(def_lhs_atom90,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e,V_P] :
( lhs_atom90(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_89,plain,
! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
( lhs_atom90(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_atom90]) ).
fof(def_lhs_atom91,axiom,
! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
( lhs_atom91(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_90,plain,
! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
( lhs_atom91(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_atom91]) ).
fof(def_lhs_atom92,axiom,
! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
( lhs_atom92(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_91,plain,
! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
( lhs_atom92(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_atom92]) ).
fof(def_lhs_atom93,axiom,
! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a] :
( lhs_atom93(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_92,plain,
! [T_a,V_a_H,V_exp1,V_exp2,V_exp_H,V_list1,V_list2,V_ty_H] :
( lhs_atom93(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_atom93]) ).
fof(def_lhs_atom94,axiom,
! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom94(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_93,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
( lhs_atom94(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_atom94]) ).
fof(def_lhs_atom95,axiom,
! [V_val,V_ty_H,V_exp_H,V_a_H,T_a] :
( lhs_atom95(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_94,plain,
! [T_a,V_a_H,V_exp_H,V_ty_H,V_val] :
( lhs_atom95(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_atom95]) ).
fof(def_lhs_atom96,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P] :
( lhs_atom96(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_95,plain,
! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
( lhs_atom96(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_atom96]) ).
fof(def_lhs_atom97,axiom,
! [V_ty_H,V_list,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom97(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_96,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list,V_ty_H] :
( lhs_atom97(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_atom97]) ).
fof(def_lhs_atom98,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P] :
( lhs_atom98(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
<=> c_SmallStep_Oredp(V_P,c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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,V_e_092_060_094isub_0622,V_s) ),
inference(definition,[],]) ).
fof(to_be_clausified_97,plain,
! [V_P,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
( lhs_atom98(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedCondF_0_0,def_lhs_atom98]) ).
fof(def_lhs_atom99,axiom,
! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
( lhs_atom99(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_98,plain,
! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
( lhs_atom99(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_atom99]) ).
fof(def_lhs_atom100,axiom,
! [V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom100(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_99,plain,
! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
( lhs_atom100(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_atom100]) ).
fof(def_lhs_atom101,axiom,
! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom101(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_100,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
( lhs_atom101(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_atom101]) ).
fof(def_lhs_atom102,axiom,
! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom102(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_101,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
( lhs_atom102(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_atom102]) ).
fof(def_lhs_atom103,axiom,
! [V_ty,V_exp_H,V_exp,V_a,T_a] :
( lhs_atom103(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_102,plain,
! [T_a,V_a,V_exp,V_exp_H,V_ty] :
( lhs_atom103(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_atom103]) ).
fof(def_lhs_atom104,axiom,
! [V_u,V_s,V_V,V_T,V_P] :
( lhs_atom104(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_103,plain,
! [V_P,V_T,V_V,V_s,V_u] :
( lhs_atom104(V_u,V_s,V_V,V_T,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedBlock_0_0,def_lhs_atom104]) ).
fof(def_lhs_atom105,axiom,
! [V_list,V_exp_H,V_exp,T_a] :
( lhs_atom105(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_104,plain,
! [T_a,V_exp,V_exp_H,V_list] :
( lhs_atom105(V_list,V_exp_H,V_exp,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I67_J_0_0,def_lhs_atom105]) ).
fof(def_lhs_atom106,axiom,
! [V_val,V_exp_H,V_a_H,T_a] :
( lhs_atom106(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_105,plain,
! [T_a,V_a_H,V_exp_H,V_val] :
( lhs_atom106(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_atom106]) ).
fof(def_lhs_atom107,axiom,
! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
( lhs_atom107(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_106,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
( lhs_atom107(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_atom107]) ).
fof(def_lhs_atom108,axiom,
! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
( lhs_atom108(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_107,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
( lhs_atom108(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_atom108]) ).
fof(def_lhs_atom109,axiom,
! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp2,V_exp1,V_a_H,T_a] :
( lhs_atom109(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_108,plain,
! [T_a,V_a_H,V_exp1,V_exp2,V_exp_H,V_list1,V_list2,V_ty_H] :
( lhs_atom109(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_atom109]) ).
fof(def_lhs_atom110,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom110(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_109,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom110(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_atom110]) ).
fof(def_lhs_atom111,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
( lhs_atom111(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_110,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom111(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_atom111]) ).
fof(def_lhs_atom112,axiom,
! [V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
( lhs_atom112(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_111,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
( lhs_atom112(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_atom112]) ).
fof(def_lhs_atom113,axiom,
! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom113(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_112,plain,
! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( lhs_atom113(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_atom113]) ).
fof(def_lhs_atom114,axiom,
! [V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
( lhs_atom114(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_113,plain,
! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
( lhs_atom114(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_atom114]) ).
fof(def_lhs_atom115,axiom,
! [V_s,V_e,V_P,V_F,V_D] :
( lhs_atom115(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_114,plain,
! [V_D,V_F,V_P,V_e,V_s] :
( lhs_atom115(V_s,V_e,V_P,V_F,V_D)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OFAccThrow_0_0,def_lhs_atom115]) ).
fof(def_lhs_atom116,axiom,
! [V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
( lhs_atom116(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_115,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
( lhs_atom116(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_atom116]) ).
fof(def_lhs_atom117,axiom,
! [V_ty_H,V_list2,V_list1,V_exp_H,V_exp,V_a_H,T_a] :
( lhs_atom117(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_116,plain,
! [T_a,V_a_H,V_exp,V_exp_H,V_list1,V_list2,V_ty_H] :
( lhs_atom117(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_atom117]) ).
fof(def_lhs_atom118,axiom,
! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
( lhs_atom118(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_117,plain,
! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
( lhs_atom118(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_atom118]) ).
fof(def_lhs_atom119,axiom,
! [V_val,V_exp_H,T_a] :
( lhs_atom119(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_118,plain,
! [T_a,V_exp_H,V_val] :
( lhs_atom119(V_val,V_exp_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I91_J_0_0,def_lhs_atom119]) ).
fof(def_lhs_atom120,axiom,
! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
( lhs_atom120(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_119,plain,
! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
( lhs_atom120(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_atom120]) ).
fof(def_lhs_atom121,axiom,
! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a] :
( lhs_atom121(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_120,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( lhs_atom121(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_atom121]) ).
fof(def_lhs_atom122,axiom,
! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
( lhs_atom122(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_121,plain,
! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
( lhs_atom122(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_atom122]) ).
fof(def_lhs_atom123,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D] :
( lhs_atom123(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_122,plain,
! [V_D,V_F,V_P,V_e,V_e_092_060_094isub_0622,V_s] :
( lhs_atom123(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_atom123]) ).
fof(def_lhs_atom124,axiom,
! [V_g,V_f,T_b,T_a] :
( lhs_atom124(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_123,plain,
! [T_a,T_b,V_f,V_g] :
( lhs_atom124(V_g,V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_map__le__map__add_0_0,def_lhs_atom124]) ).
fof(def_lhs_atom125,axiom,
! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom125(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_124,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
( lhs_atom125(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_atom125]) ).
fof(def_lhs_atom126,axiom,
! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom126(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_125,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
( lhs_atom126(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_atom126]) ).
fof(def_lhs_atom127,axiom,
! [V_s,V_e,V_P,V_C] :
( lhs_atom127(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_126,plain,
! [V_C,V_P,V_e,V_s] :
( lhs_atom127(V_s,V_e,V_P,V_C)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_OCastThrow_0_0,def_lhs_atom127]) ).
fof(def_lhs_atom128,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P] :
( lhs_atom128(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
<=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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(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_127,plain,
! [V_P,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
( lhs_atom128(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_ORedCondF_0_0,def_lhs_atom128]) ).
fof(def_lhs_atom129,axiom,
! [V_v,V_u,V_s,V_V,V_T,V_P] :
( lhs_atom129(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_128,plain,
! [V_P,V_T,V_V,V_s,V_u,V_v] :
( lhs_atom129(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_atom129]) ).
fof(def_lhs_atom130,axiom,
! [V_s,V_P,V_C] :
( lhs_atom130(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_129,plain,
! [V_C,V_P,V_s] :
( lhs_atom130(V_s,V_P,V_C)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedCastNull_0_0,def_lhs_atom130]) ).
fof(def_lhs_atom131,axiom,
! [V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P] :
( lhs_atom131(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_130,plain,
! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
( lhs_atom131(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_atom131]) ).
fof(def_lhs_atom132,axiom,
! [V_v,V_s,V_e,V_P,V_F,V_D] :
( lhs_atom132(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_131,plain,
! [V_D,V_F,V_P,V_e,V_s,V_v] :
( lhs_atom132(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_atom132]) ).
fof(def_lhs_atom133,axiom,
! [V_v,V_s,V_e,V_P,V_F,V_D] :
( lhs_atom133(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_132,plain,
! [V_D,V_F,V_P,V_e,V_s,V_v] :
( lhs_atom133(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_atom133]) ).
fof(def_lhs_atom134,axiom,
! [V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P] :
( lhs_atom134(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_133,plain,
! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
( lhs_atom134(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_atom134]) ).
fof(def_lhs_atom135,axiom,
! [V_s,V_P,V_C] :
( lhs_atom135(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_134,plain,
! [V_C,V_P,V_s] :
( lhs_atom135(V_s,V_P,V_C)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_ORedCastNull_0_0,def_lhs_atom135]) ).
fof(def_lhs_atom136,axiom,
! [V_s,V_c,V_b,V_P] :
( lhs_atom136(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_135,plain,
! [V_P,V_b,V_c,V_s] :
( lhs_atom136(V_s,V_c,V_b,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_redp__redsp_ORedWhile_0_0,def_lhs_atom136]) ).
fof(def_lhs_atom137,axiom,
! [V_s,V_e,V_P,V_F,V_D] :
( lhs_atom137(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_136,plain,
! [V_D,V_F,V_P,V_e,V_s] :
( lhs_atom137(V_s,V_e,V_P,V_F,V_D)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OFAccThrow_0_0,def_lhs_atom137]) ).
fof(def_lhs_atom138,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e,V_P] :
( lhs_atom138(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_137,plain,
! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
( lhs_atom138(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_atom138]) ).
fof(def_lhs_atom139,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P] :
( lhs_atom139(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_138,plain,
! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
( lhs_atom139(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_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_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_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_red__reds_OFAssThrow1_0_0,def_lhs_atom140]) ).
fof(def_lhs_atom141,axiom,
! [V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P] :
( lhs_atom141(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_140,plain,
! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
( lhs_atom141(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_atom141]) ).
fof(def_lhs_atom142,axiom,
! [V_u,V_s,V_V,V_T,V_P] :
( lhs_atom142(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_141,plain,
! [V_P,V_T,V_V,V_s,V_u] :
( lhs_atom142(V_u,V_s,V_V,V_T,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_ORedBlock_0_0,def_lhs_atom142]) ).
fof(def_lhs_atom143,axiom,
! [V_s,V_e,V_P] :
( lhs_atom143(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_142,plain,
! [V_P,V_e,V_s] :
( lhs_atom143(V_s,V_e,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_OThrowThrow_0_0,def_lhs_atom143]) ).
fof(def_lhs_atom144,axiom,
( lhs_atom144
<=> c_Value_Oval_OUnit != c_Value_Oval_ONull ),
inference(definition,[],]) ).
fof(to_be_clausified_143,plain,
( lhs_atom144
| $false ),
inference(fold_definition,[status(thm)],[cls_val_Osimps_I4_J_0_0,def_lhs_atom144]) ).
fof(def_lhs_atom145,axiom,
( lhs_atom145
<=> c_Value_Oval_ONull != c_Value_Oval_OUnit ),
inference(definition,[],]) ).
fof(to_be_clausified_144,plain,
( lhs_atom145
| $false ),
inference(fold_definition,[status(thm)],[cls_val_Osimps_I5_J_0_0,def_lhs_atom145]) ).
fof(def_lhs_atom146,axiom,
! [V_x,V_R,T_a] :
( lhs_atom146(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_145,plain,
! [T_a,V_R,V_x] :
( lhs_atom146(V_x,V_R,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rtrancl__eq__or__trancl_1_0,def_lhs_atom146]) ).
fof(def_lhs_atom147,axiom,
! [V_r,V_a,T_a] :
( lhs_atom147(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_146,plain,
! [T_a,V_a,V_r] :
( lhs_atom147(V_r,V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rtrancl_Ortrancl__refl_0_0,def_lhs_atom147]) ).
fof(def_lhs_atom148,axiom,
! [V_r,T_a] :
( lhs_atom148(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_147,plain,
! [T_a,V_r] :
( lhs_atom148(V_r,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rtrancl__idemp_0_0,def_lhs_atom148]) ).
fof(def_lhs_atom149,axiom,
! [V_s,V_c,V_b,V_P] :
( lhs_atom149(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_148,plain,
! [V_P,V_b,V_c,V_s] :
( lhs_atom149(V_s,V_c,V_b,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_red__reds_ORedWhile_0_0,def_lhs_atom149]) ).
fof(def_lhs_atom150,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom150(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_149,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom150(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_atom150]) ).
fof(def_lhs_atom151,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
( lhs_atom151(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_150,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom151(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_atom151]) ).
fof(def_lhs_atom152,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom152(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_151,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom152(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_atom152]) ).
fof(def_lhs_atom153,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom153(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_152,plain,
! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom153(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_atom153]) ).
fof(def_lhs_atom154,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
( lhs_atom154(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_153,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom154(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_atom154]) ).
fof(def_lhs_atom155,axiom,
! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom155(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_154,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
( lhs_atom155(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_atom155]) ).
fof(def_lhs_atom156,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom156(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_155,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
( lhs_atom156(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_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_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom158(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_157,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( lhs_atom158(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_atom158]) ).
fof(def_lhs_atom159,axiom,
! [V_list_H] :
( lhs_atom159(V_list_H)
<=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OBoolean ),
inference(definition,[],]) ).
fof(to_be_clausified_158,plain,
! [V_list_H] :
( lhs_atom159(V_list_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I15_J_0_0,def_lhs_atom159]) ).
fof(def_lhs_atom160,axiom,
! [V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
( lhs_atom160(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_159,plain,
! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
( lhs_atom160(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_atom160]) ).
fof(def_lhs_atom161,axiom,
! [V_val,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom161(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_160,plain,
! [T_a,V_exp1_H,V_exp2_H,V_val] :
( lhs_atom161(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_atom161]) ).
fof(def_lhs_atom162,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom162(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_161,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom162(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_atom162]) ).
fof(def_lhs_atom163,axiom,
! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom163(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_162,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
( lhs_atom163(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_atom163]) ).
fof(def_lhs_atom164,axiom,
! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom164(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_163,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
( lhs_atom164(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_atom164]) ).
fof(def_lhs_atom165,axiom,
! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom165(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_164,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
( lhs_atom165(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_atom165]) ).
fof(def_lhs_atom166,axiom,
! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom166(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_165,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
( lhs_atom166(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_atom166]) ).
fof(def_lhs_atom167,axiom,
! [V_v,V_s,V_P] :
( lhs_atom167(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_166,plain,
! [V_P,V_s,V_v] :
( lhs_atom167(V_v,V_s,V_P)
| $false ),
inference(fold_definition,[status(thm)],[cls_Val_0_0,def_lhs_atom167]) ).
fof(def_lhs_atom168,axiom,
! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a] :
( lhs_atom168(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_167,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
( lhs_atom168(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_atom168]) ).
fof(def_lhs_atom169,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom169(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_168,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
( lhs_atom169(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_atom169]) ).
fof(def_lhs_atom170,axiom,
! [V_val,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom170(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_169,plain,
! [T_a,V_exp1_H,V_exp2_H,V_val] :
( lhs_atom170(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_atom170]) ).
fof(def_lhs_atom171,axiom,
! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom171(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_170,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
( lhs_atom171(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_atom171]) ).
fof(def_lhs_atom172,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom172(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_171,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
( lhs_atom172(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_atom172]) ).
fof(def_lhs_atom173,axiom,
! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom173(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_172,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
( lhs_atom173(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_atom173]) ).
fof(def_lhs_atom174,axiom,
! [V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom174(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_173,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
( lhs_atom174(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_atom174]) ).
fof(def_lhs_atom175,axiom,
! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom175(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_174,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
( lhs_atom175(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_atom175]) ).
fof(def_lhs_atom176,axiom,
! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom176(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_175,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
( lhs_atom176(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_atom176]) ).
fof(def_lhs_atom177,axiom,
! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom177(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_176,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
( lhs_atom177(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_atom177]) ).
fof(def_lhs_atom178,axiom,
! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom178(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_177,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
( lhs_atom178(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_atom178]) ).
fof(def_lhs_atom179,axiom,
! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
( lhs_atom179(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_178,plain,
! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
( lhs_atom179(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_atom179]) ).
fof(def_lhs_atom180,axiom,
! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom180(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_179,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
( lhs_atom180(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_atom180]) ).
fof(def_lhs_atom181,axiom,
! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom181(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_180,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
( lhs_atom181(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_atom181]) ).
fof(def_lhs_atom182,axiom,
! [V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
( lhs_atom182(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_181,plain,
! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
( lhs_atom182(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_atom182]) ).
fof(def_lhs_atom183,axiom,
! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom183(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_182,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( lhs_atom183(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_atom183]) ).
fof(def_lhs_atom184,axiom,
! [V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom184(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_183,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3] :
( lhs_atom184(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_atom184]) ).
fof(def_lhs_atom185,axiom,
! [V_list_H] :
( lhs_atom185(V_list_H)
<=> c_Type_Oty_OBoolean != c_Type_Oty_OClass(V_list_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_184,plain,
! [V_list_H] :
( lhs_atom185(V_list_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I14_J_0_0,def_lhs_atom185]) ).
fof(def_lhs_atom186,axiom,
! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
( lhs_atom186(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_185,plain,
! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
( lhs_atom186(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_atom186]) ).
fof(def_lhs_atom187,axiom,
! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom187(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_186,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( lhs_atom187(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_atom187]) ).
fof(def_lhs_atom188,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom188(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_187,plain,
! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom188(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_atom188]) ).
fof(def_lhs_atom189,axiom,
! [V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom189(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_188,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3] :
( lhs_atom189(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_atom189]) ).
fof(def_lhs_atom190,axiom,
! [V_v,V_s,V_e_092_060_094isub_0622,V_P] :
( lhs_atom190(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_189,plain,
! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
( lhs_atom190(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_atom190]) ).
fof(def_lhs_atom191,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
( lhs_atom191(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_190,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom191(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_atom191]) ).
fof(def_lhs_atom192,axiom,
! [V_list_H] :
( lhs_atom192(V_list_H)
<=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT ),
inference(definition,[],]) ).
fof(to_be_clausified_191,plain,
! [V_list_H] :
( lhs_atom192(V_list_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I21_J_0_0,def_lhs_atom192]) ).
fof(def_lhs_atom193,axiom,
! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
( lhs_atom193(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_192,plain,
! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( lhs_atom193(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_atom193]) ).
fof(def_lhs_atom194,axiom,
! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom194(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_193,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
( lhs_atom194(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_atom194]) ).
fof(def_lhs_atom195,axiom,
! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a] :
( lhs_atom195(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_194,plain,
! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
( lhs_atom195(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_atom195]) ).
fof(def_lhs_atom196,axiom,
! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom196(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_195,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
( lhs_atom196(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_atom196]) ).
fof(def_lhs_atom197,axiom,
! [V_x,V_t,T_a] :
( lhs_atom197(V_x,V_t,T_a)
<=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
inference(definition,[],]) ).
fof(to_be_clausified_196,plain,
! [T_a,V_t,V_x] :
( lhs_atom197(V_x,V_t,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__Cons__self2_0_0,def_lhs_atom197]) ).
fof(def_lhs_atom198,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom198(V_xs,V_x,T_a)
<=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_197,plain,
! [T_a,V_x,V_xs] :
( lhs_atom198(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__Cons__self_0_0,def_lhs_atom198]) ).
fof(def_lhs_atom199,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom199(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_198,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
( lhs_atom199(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_atom199]) ).
fof(def_lhs_atom200,axiom,
! [V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C] :
( lhs_atom200(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_199,plain,
! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
( lhs_atom200(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_atom200]) ).
fof(def_lhs_atom201,axiom,
! [V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
( lhs_atom201(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_200,plain,
! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
( lhs_atom201(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_atom201]) ).
fof(def_lhs_atom202,axiom,
! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom202(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_201,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
( lhs_atom202(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_atom202]) ).
fof(def_lhs_atom203,axiom,
( lhs_atom203
<=> v_v____ = c_Value_Oval_ONull ),
inference(definition,[],]) ).
fof(to_be_clausified_202,plain,
( lhs_atom203
| $false ),
inference(fold_definition,[status(thm)],[cls_calculation_0_0,def_lhs_atom203]) ).
fof(def_lhs_atom204,axiom,
! [V_val,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom204(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_203,plain,
! [T_a,V_exp1_H,V_exp2_H,V_val] :
( lhs_atom204(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_atom204]) ).
fof(def_lhs_atom205,axiom,
( lhs_atom205
<=> c_Type_Oty_OBoolean != c_Type_Oty_ONT ),
inference(definition,[],]) ).
fof(to_be_clausified_204,plain,
( lhs_atom205
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I12_J_0_0,def_lhs_atom205]) ).
fof(def_lhs_atom206,axiom,
! [V_h] :
( lhs_atom206(V_h)
<=> c_Objects_Ohext(V_h,V_h) ),
inference(definition,[],]) ).
fof(to_be_clausified_205,plain,
! [V_h] :
( lhs_atom206(V_h)
| $false ),
inference(fold_definition,[status(thm)],[cls_hext__refl_0_0,def_lhs_atom206]) ).
fof(def_lhs_atom207,axiom,
! [V_P,V_C,T_a] :
( lhs_atom207(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_206,plain,
! [T_a,V_C,V_P] :
( lhs_atom207(V_P,V_C,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_widen__Class_2_0,def_lhs_atom207]) ).
fof(def_lhs_atom208,axiom,
! [V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C] :
( lhs_atom208(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_207,plain,
! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
( lhs_atom208(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_atom208]) ).
fof(def_lhs_atom209,axiom,
! [V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom209(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_208,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
( lhs_atom209(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_atom209]) ).
fof(def_lhs_atom210,axiom,
! [V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom210(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_209,plain,
! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
( lhs_atom210(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_atom210]) ).
fof(def_lhs_atom211,axiom,
( lhs_atom211
<=> c_Type_Oty_ONT != c_Type_Oty_OBoolean ),
inference(definition,[],]) ).
fof(to_be_clausified_210,plain,
( lhs_atom211
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I13_J_0_0,def_lhs_atom211]) ).
fof(def_lhs_atom212,axiom,
! [V_P,T_a] :
( lhs_atom212(V_P,T_a)
<=> c_COMBI(V_P,T_a) = V_P ),
inference(definition,[],]) ).
fof(to_be_clausified_211,plain,
! [T_a,V_P] :
( lhs_atom212(V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_COMBI__def_0_0,def_lhs_atom212]) ).
fof(def_lhs_atom213,axiom,
! [V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom213(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_212,plain,
! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
( lhs_atom213(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_atom213]) ).
fof(def_lhs_atom214,axiom,
! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom214(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_213,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
( lhs_atom214(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_atom214]) ).
fof(def_lhs_atom215,axiom,
! [V_f,T_b,T_a] :
( lhs_atom215(V_f,T_b,T_a)
<=> c_Map_Omap__le(V_f,V_f,T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_214,plain,
! [T_a,T_b,V_f] :
( lhs_atom215(V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_map__le__refl_0_0,def_lhs_atom215]) ).
fof(def_lhs_atom216,axiom,
! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
( lhs_atom216(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_215,plain,
! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
( lhs_atom216(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_atom216]) ).
fof(def_lhs_atom217,axiom,
! [V_v,V_s,V_e_092_060_094isub_0622,V_P] :
( lhs_atom217(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_216,plain,
! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
( lhs_atom217(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_atom217]) ).
fof(def_lhs_atom218,axiom,
( lhs_atom218
<=> 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_217,plain,
( lhs_atom218
| $false ),
inference(fold_definition,[status(thm)],[cls_wt_0_0,def_lhs_atom218]) ).
fof(def_lhs_atom219,axiom,
! [V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a] :
( lhs_atom219(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_218,plain,
! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
( lhs_atom219(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_atom219]) ).
fof(def_lhs_atom220,axiom,
! [V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom220(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_219,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
( lhs_atom220(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_atom220]) ).
fof(def_lhs_atom221,axiom,
( lhs_atom221
<=> 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_220,plain,
( lhs_atom221
| $false ),
inference(fold_definition,[status(thm)],[cls_conf_0_0,def_lhs_atom221]) ).
fof(def_lhs_atom222,axiom,
( lhs_atom222
<=> 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_221,plain,
( lhs_atom222
| $false ),
inference(fold_definition,[status(thm)],[cls_red_0_0,def_lhs_atom222]) ).
fof(def_lhs_atom223,axiom,
! [V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a] :
( lhs_atom223(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_222,plain,
! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
( lhs_atom223(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_atom223]) ).
fof(def_lhs_atom224,axiom,
! [V_x,T_a] :
( lhs_atom224(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_223,plain,
! [T_a,V_x] :
( lhs_atom224(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__all2__eq_0_0,def_lhs_atom224]) ).
fof(def_lhs_atom225,axiom,
! [V_val,V_exp2_H,V_exp1_H,T_a] :
( lhs_atom225(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_224,plain,
! [T_a,V_exp1_H,V_exp2_H,V_val] :
( lhs_atom225(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_atom225]) ).
fof(def_lhs_atom226,axiom,
! [V_h,V_P,T_a] :
( lhs_atom226(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_225,plain,
! [T_a,V_P,V_h] :
( lhs_atom226(V_h,V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_conf__NT_1_0,def_lhs_atom226]) ).
fof(def_lhs_atom227,axiom,
! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom227(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_226,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
( lhs_atom227(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_atom227]) ).
fof(def_lhs_atom228,axiom,
! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
( lhs_atom228(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_227,plain,
! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
( lhs_atom228(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_atom228]) ).
fof(def_lhs_atom229,axiom,
( lhs_atom229
<=> 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_228,plain,
( lhs_atom229
| $false ),
inference(fold_definition,[status(thm)],[cls_wt_092_060_094isub_0622_0_0,def_lhs_atom229]) ).
fof(def_lhs_atom230,axiom,
( lhs_atom230
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_ONT) ),
inference(definition,[],]) ).
fof(to_be_clausified_229,plain,
( lhs_atom230
| $false ),
inference(fold_definition,[status(thm)],[cls_null_0_0,def_lhs_atom230]) ).
fof(def_lhs_atom231,axiom,
! [V_T,V_P,T_a] :
( lhs_atom231(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_230,plain,
! [T_a,V_P,V_T] :
( lhs_atom231(V_T,V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_widen__refl_0_0,def_lhs_atom231]) ).
fof(def_lhs_atom232,axiom,
( lhs_atom232
<=> c_COMBI(v_P,t_a) = v_P ),
inference(definition,[],]) ).
fof(to_be_clausified_231,plain,
( lhs_atom232
| $false ),
inference(fold_definition,[status(thm)],[cls_COMBI__def__raw_0_0,def_lhs_atom232]) ).
fof(def_lhs_atom233,axiom,
! [V_xs,V_P,T_a] :
( lhs_atom233(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_232,plain,
! [T_a,V_P,V_xs] :
( lhs_atom233(V_xs,V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_widens__refl_0_0,def_lhs_atom233]) ).
fof(def_lhs_atom234,axiom,
( lhs_atom234
<=> 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_233,plain,
( lhs_atom234
| $false ),
inference(fold_definition,[status(thm)],[cls_CHAINED_1_0,def_lhs_atom234]) ).
fof(def_lhs_atom235,axiom,
( lhs_atom235
<=> 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_234,plain,
( lhs_atom235
| $false ),
inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom235]) ).
fof(def_lhs_atom236,axiom,
! [V_x,T_a] :
( lhs_atom236(V_x,T_a)
<=> hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ),
inference(definition,[],]) ).
fof(to_be_clausified_235,plain,
! [T_a,V_x] :
( lhs_atom236(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom236]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X31,X32,X33,X11,X21,X12,X22,X27,X14] :
( lhs_atom181(X31,X32,X33,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_180) ).
fof(c_0_1,axiom,
! [X31,X32,X33,X11,X21,X12,X22,X27,X14] :
( lhs_atom177(X31,X32,X33,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_176) ).
fof(c_0_2,axiom,
! [X31,X20,X11,X21,X12,X22,X27,X14] :
( lhs_atom220(X31,X20,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_219) ).
fof(c_0_3,axiom,
! [X31,X20,X11,X21,X12,X22,X27,X14] :
( lhs_atom209(X31,X20,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_208) ).
fof(c_0_4,axiom,
! [X29,X30,X11,X21,X12,X22,X34,X14] :
( lhs_atom201(X29,X30,X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_200) ).
fof(c_0_5,axiom,
! [X31,X11,X21,X12,X22,X34,X27,X14] :
( lhs_atom195(X31,X11,X21,X12,X22,X34,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_194) ).
fof(c_0_6,axiom,
! [X32,X33,X24,X11,X21,X12,X22,X14] :
( lhs_atom194(X32,X33,X24,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_193) ).
fof(c_0_7,axiom,
! [X31,X32,X33,X11,X12,X13,X27,X14] :
( lhs_atom186(X31,X32,X33,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_185) ).
fof(c_0_8,axiom,
! [X32,X33,X24,X11,X21,X12,X22,X14] :
( lhs_atom183(X32,X33,X24,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_182) ).
fof(c_0_9,axiom,
! [X29,X30,X11,X21,X12,X22,X34,X14] :
( lhs_atom174(X29,X30,X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_173) ).
fof(c_0_10,axiom,
! [X31,X32,X33,X11,X12,X13,X27,X14] :
( lhs_atom171(X31,X32,X33,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_170) ).
fof(c_0_11,axiom,
! [X31,X11,X21,X12,X22,X34,X27,X14] :
( lhs_atom168(X31,X11,X21,X12,X22,X34,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_167) ).
fof(c_0_12,axiom,
! [X29,X32,X30,X33,X11,X12,X13,X14] :
( lhs_atom165(X29,X32,X30,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_164) ).
fof(c_0_13,axiom,
! [X29,X32,X30,X33,X11,X12,X13,X14] :
( lhs_atom158(X29,X32,X30,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_157) ).
fof(c_0_14,axiom,
! [X29,X32,X30,X33,X19,X21,X22,X14] :
( lhs_atom113(X29,X32,X30,X33,X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_112) ).
fof(c_0_15,axiom,
! [X26,X32,X33,X19,X21,X22,X27,X14] :
( lhs_atom109(X26,X32,X33,X19,X21,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_16,axiom,
! [X26,X32,X33,X19,X21,X22,X27,X14] :
( lhs_atom93(X26,X32,X33,X19,X21,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_17,axiom,
! [X31,X32,X33,X11,X12,X13,X27,X14] :
( lhs_atom83(X31,X32,X33,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_18,axiom,
! [X10,X31,X11,X12,X13,X27,X6,X14] :
( lhs_atom50(X10,X31,X11,X12,X13,X27,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_19,axiom,
! [X31,X32,X33,X11,X12,X13,X27,X14] :
( lhs_atom44(X31,X32,X33,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_20,axiom,
! [X10,X31,X11,X12,X13,X27,X6,X14] :
( lhs_atom31(X10,X31,X11,X12,X13,X27,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_21,axiom,
! [X29,X32,X30,X33,X19,X21,X22,X14] :
( lhs_atom27(X29,X32,X30,X33,X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_22,axiom,
! [X31,X11,X21,X12,X22,X27,X14] :
( lhs_atom228(X31,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_227) ).
fof(c_0_23,axiom,
! [X31,X11,X21,X12,X22,X27,X14] :
( lhs_atom227(X31,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_226) ).
fof(c_0_24,axiom,
! [X32,X33,X11,X21,X12,X22,X14] :
( lhs_atom202(X32,X33,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_201) ).
fof(c_0_25,axiom,
! [X32,X33,X11,X21,X12,X22,X14] :
( lhs_atom199(X32,X33,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_198) ).
fof(c_0_26,axiom,
! [X32,X33,X24,X11,X12,X13,X14] :
( lhs_atom193(X32,X33,X24,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_192) ).
fof(c_0_27,axiom,
! [X32,X33,X24,X11,X12,X13,X14] :
( lhs_atom187(X32,X33,X24,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_186) ).
fof(c_0_28,axiom,
! [X31,X11,X21,X12,X22,X27,X14] :
( lhs_atom180(X31,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_179) ).
fof(c_0_29,axiom,
! [X29,X30,X19,X21,X22,X34,X14] :
( lhs_atom179(X29,X30,X19,X21,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_178) ).
fof(c_0_30,axiom,
! [X24,X11,X21,X12,X22,X34,X14] :
( lhs_atom178(X24,X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_177) ).
fof(c_0_31,axiom,
! [X32,X33,X11,X21,X12,X22,X14] :
( lhs_atom169(X32,X33,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_168) ).
fof(c_0_32,axiom,
! [X31,X11,X21,X12,X22,X27,X14] :
( lhs_atom163(X31,X11,X21,X12,X22,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_162) ).
fof(c_0_33,axiom,
! [X32,X33,X11,X21,X12,X22,X14] :
( lhs_atom156(X32,X33,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_155) ).
fof(c_0_34,axiom,
! [X24,X11,X21,X12,X22,X34,X14] :
( lhs_atom155(X24,X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_154) ).
fof(c_0_35,axiom,
! [X29,X30,X19,X21,X22,X34,X14] :
( lhs_atom151(X29,X30,X19,X21,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_150) ).
fof(c_0_36,axiom,
! [X29,X32,X30,X33,X19,X13,X14] :
( lhs_atom121(X29,X32,X30,X33,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_120) ).
fof(c_0_37,axiom,
! [X31,X11,X12,X13,X27,X6,X14] :
( lhs_atom120(X31,X11,X12,X13,X27,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_119) ).
fof(c_0_38,axiom,
! [X26,X32,X33,X19,X13,X27,X14] :
( lhs_atom117(X26,X32,X33,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_116) ).
fof(c_0_39,axiom,
! [X26,X32,X33,X19,X13,X27,X14] :
( lhs_atom102(X26,X32,X33,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_40,axiom,
! [X26,X32,X33,X19,X13,X27,X14] :
( lhs_atom101(X26,X32,X33,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_41,axiom,
! [X29,X30,X19,X21,X22,X34,X14] :
( lhs_atom89(X29,X30,X19,X21,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_42,axiom,
! [X29,X30,X11,X12,X13,X6,X14] :
( lhs_atom86(X29,X30,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_43,axiom,
! [X32,X33,X24,X11,X12,X13,X14] :
( lhs_atom84(X32,X33,X24,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_44,axiom,
! [X29,X30,X23,X11,X12,X13,X14] :
( lhs_atom78(X29,X30,X23,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_45,axiom,
! [X31,X23,X11,X12,X13,X27,X14] :
( lhs_atom77(X31,X23,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_46,axiom,
! [X29,X30,X11,X12,X13,X6,X14] :
( lhs_atom75(X29,X30,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_47,axiom,
! [X26,X32,X33,X19,X13,X27,X14] :
( lhs_atom71(X26,X32,X33,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_48,axiom,
! [X32,X33,X24,X11,X12,X13,X14] :
( lhs_atom69(X32,X33,X24,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_49,axiom,
! [X29,X30,X19,X21,X22,X34,X14] :
( lhs_atom67(X29,X30,X19,X21,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_50,axiom,
! [X26,X19,X21,X22,X34,X27,X14] :
( lhs_atom60(X26,X19,X21,X22,X34,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_51,axiom,
! [X31,X11,X12,X13,X27,X6,X14] :
( lhs_atom52(X31,X11,X12,X13,X27,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_52,axiom,
! [X26,X19,X21,X22,X34,X27,X14] :
( lhs_atom39(X26,X19,X21,X22,X34,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_53,axiom,
! [X29,X32,X30,X33,X19,X13,X14] :
( lhs_atom34(X29,X32,X30,X33,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_54,axiom,
! [X29,X30,X23,X11,X12,X13,X14] :
( lhs_atom30(X29,X30,X23,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_55,axiom,
! [X31,X23,X11,X12,X13,X27,X14] :
( lhs_atom26(X31,X23,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_56,axiom,
! [X10,X24,X11,X12,X13,X6,X14] :
( lhs_atom21(X10,X24,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_57,axiom,
! [X10,X24,X11,X12,X13,X6,X14] :
( lhs_atom16(X10,X24,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_58,axiom,
! [X37,X31,X11,X12,X27,X14] :
( lhs_atom223(X37,X31,X11,X12,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_222) ).
fof(c_0_59,axiom,
! [X37,X31,X11,X12,X27,X14] :
( lhs_atom219(X37,X31,X11,X12,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_218) ).
fof(c_0_60,axiom,
! [X24,X11,X21,X12,X22,X14] :
( lhs_atom216(X24,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_215) ).
fof(c_0_61,axiom,
! [X24,X11,X21,X12,X22,X14] :
( lhs_atom214(X24,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_213) ).
fof(c_0_62,axiom,
! [X9,X2,X3,X7,X5,X40] :
( lhs_atom208(X9,X2,X3,X7,X5,X40)
| ~ $true ),
file('<stdin>',to_be_clausified_207) ).
fof(c_0_63,axiom,
! [X9,X2,X3,X7,X5,X40] :
( lhs_atom200(X9,X2,X3,X7,X5,X40)
| ~ $true ),
file('<stdin>',to_be_clausified_199) ).
fof(c_0_64,axiom,
! [X20,X11,X21,X12,X22,X14] :
( lhs_atom189(X20,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_188) ).
fof(c_0_65,axiom,
! [X37,X29,X30,X11,X12,X14] :
( lhs_atom188(X37,X29,X30,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_187) ).
fof(c_0_66,axiom,
! [X20,X11,X21,X12,X22,X14] :
( lhs_atom184(X20,X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_183) ).
fof(c_0_67,axiom,
! [X11,X21,X12,X22,X34,X14] :
( lhs_atom175(X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_174) ).
fof(c_0_68,axiom,
! [X11,X21,X12,X22,X34,X14] :
( lhs_atom173(X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_172) ).
fof(c_0_69,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom172(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_171) ).
fof(c_0_70,axiom,
! [X11,X21,X12,X22,X34,X14] :
( lhs_atom166(X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_165) ).
fof(c_0_71,axiom,
! [X11,X21,X12,X22,X34,X14] :
( lhs_atom164(X11,X21,X12,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_163) ).
fof(c_0_72,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom162(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_161) ).
fof(c_0_73,axiom,
! [X37,X29,X30,X11,X12,X14] :
( lhs_atom153(X37,X29,X30,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_152) ).
fof(c_0_74,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom152(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_151) ).
fof(c_0_75,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom150(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_149) ).
fof(c_0_76,axiom,
! [X2,X3,X28,X5,X41,X42] :
( lhs_atom140(X2,X3,X28,X5,X41,X42)
| ~ $true ),
file('<stdin>',to_be_clausified_139) ).
fof(c_0_77,axiom,
! [X9,X2,X28,X5,X41,X42] :
( lhs_atom133(X9,X2,X28,X5,X41,X42)
| ~ $true ),
file('<stdin>',to_be_clausified_132) ).
fof(c_0_78,axiom,
! [X9,X2,X28,X5,X41,X42] :
( lhs_atom132(X9,X2,X28,X5,X41,X42)
| ~ $true ),
file('<stdin>',to_be_clausified_131) ).
fof(c_0_79,axiom,
! [X9,X38,X2,X7,X8,X5] :
( lhs_atom129(X9,X38,X2,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_128) ).
fof(c_0_80,axiom,
! [X2,X3,X28,X5,X41,X42] :
( lhs_atom123(X2,X3,X28,X5,X41,X42)
| ~ $true ),
file('<stdin>',to_be_clausified_122) ).
fof(c_0_81,axiom,
! [X29,X30,X23,X19,X13,X14] :
( lhs_atom118(X29,X30,X23,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_117) ).
fof(c_0_82,axiom,
! [X19,X21,X22,X34,X27,X14] :
( lhs_atom116(X19,X21,X22,X34,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_115) ).
fof(c_0_83,axiom,
! [X32,X33,X19,X21,X22,X14] :
( lhs_atom114(X32,X33,X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_113) ).
fof(c_0_84,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom110(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_85,axiom,
! [X32,X33,X19,X21,X22,X14] :
( lhs_atom100(X32,X33,X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_86,axiom,
! [X26,X23,X19,X13,X27,X14] :
( lhs_atom97(X26,X23,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_87,axiom,
! [X31,X11,X12,X13,X27,X14] :
( lhs_atom94(X31,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_88,axiom,
! [X29,X30,X23,X19,X13,X14] :
( lhs_atom92(X29,X30,X23,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_89,axiom,
! [X29,X30,X23,X19,X13,X14] :
( lhs_atom91(X29,X30,X23,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_90,axiom,
! [X29,X30,X19,X13,X6,X14] :
( lhs_atom88(X29,X30,X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_91,axiom,
! [X29,X30,X19,X13,X6,X14] :
( lhs_atom87(X29,X30,X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_92,axiom,
! [X10,X11,X12,X13,X6,X14] :
( lhs_atom82(X10,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_93,axiom,
! [X23,X24,X11,X12,X13,X14] :
( lhs_atom79(X23,X24,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_94,axiom,
! [X29,X30,X19,X13,X6,X14] :
( lhs_atom74(X29,X30,X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_95,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom73(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_96,axiom,
! [X19,X21,X22,X34,X27,X14] :
( lhs_atom68(X19,X21,X22,X34,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_97,axiom,
! [X23,X11,X12,X13,X39,X14] :
( lhs_atom64(X23,X11,X12,X13,X39,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_98,axiom,
! [X23,X11,X12,X13,X39,X14] :
( lhs_atom59(X23,X11,X12,X13,X39,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_99,axiom,
! [X26,X19,X13,X27,X6,X14] :
( lhs_atom58(X26,X19,X13,X27,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_100,axiom,
! [X9,X2,X6,X7,X8,X5] :
( lhs_atom56(X9,X2,X6,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_101,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom55(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_102,axiom,
! [X9,X38,X2,X7,X8,X5] :
( lhs_atom54(X9,X38,X2,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_103,axiom,
! [X32,X33,X11,X12,X13,X14] :
( lhs_atom53(X32,X33,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_104,axiom,
! [X24,X11,X12,X13,X6,X14] :
( lhs_atom51(X24,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_105,axiom,
! [X26,X19,X13,X27,X6,X14] :
( lhs_atom42(X26,X19,X13,X27,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_106,axiom,
! [X10,X11,X12,X13,X6,X14] :
( lhs_atom36(X10,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_107,axiom,
! [X29,X30,X23,X19,X13,X14] :
( lhs_atom35(X29,X30,X23,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_108,axiom,
! [X24,X11,X12,X13,X6,X14] :
( lhs_atom29(X24,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_109,axiom,
! [X23,X24,X11,X12,X13,X14] :
( lhs_atom28(X23,X24,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_110,axiom,
! [X31,X11,X12,X13,X27,X14] :
( lhs_atom25(X31,X11,X12,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_111,axiom,
! [X29,X30,X19,X13,X6,X14] :
( lhs_atom24(X29,X30,X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_112,axiom,
! [X26,X23,X19,X13,X27,X14] :
( lhs_atom22(X26,X23,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_113,axiom,
! [X10,X11,X12,X13,X6,X14] :
( lhs_atom20(X10,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_114,axiom,
! [X10,X11,X12,X13,X6,X14] :
( lhs_atom10(X10,X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_115,axiom,
! [X9,X2,X6,X7,X8,X5] :
( lhs_atom7(X9,X2,X6,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_116,axiom,
! [X37,X24,X11,X12,X14] :
( lhs_atom213(X37,X24,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_212) ).
fof(c_0_117,axiom,
! [X37,X24,X11,X12,X14] :
( lhs_atom210(X37,X24,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_209) ).
fof(c_0_118,axiom,
! [X11,X21,X12,X22,X14] :
( lhs_atom196(X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_195) ).
fof(c_0_119,axiom,
! [X37,X29,X30,X19,X14] :
( lhs_atom191(X37,X29,X30,X19,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_190) ).
fof(c_0_120,axiom,
! [X37,X11,X12,X39,X14] :
( lhs_atom182(X37,X11,X12,X39,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_181) ).
fof(c_0_121,axiom,
! [X11,X21,X12,X22,X14] :
( lhs_atom176(X11,X21,X12,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_175) ).
fof(c_0_122,axiom,
! [X37,X11,X12,X39,X14] :
( lhs_atom160(X37,X11,X12,X39,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_159) ).
fof(c_0_123,axiom,
! [X37,X29,X30,X19,X14] :
( lhs_atom154(X37,X29,X30,X19,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_153) ).
fof(c_0_124,axiom,
! [X38,X2,X7,X8,X5] :
( lhs_atom142(X38,X2,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_141) ).
fof(c_0_125,axiom,
! [X2,X3,X28,X34,X5] :
( lhs_atom141(X2,X3,X28,X34,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_140) ).
fof(c_0_126,axiom,
! [X2,X3,X4,X28,X5] :
( lhs_atom139(X2,X3,X4,X28,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_138) ).
fof(c_0_127,axiom,
! [X2,X28,X5,X41,X42] :
( lhs_atom137(X2,X28,X5,X41,X42)
| ~ $true ),
file('<stdin>',to_be_clausified_136) ).
fof(c_0_128,axiom,
! [X45,X2,X28,X34,X5] :
( lhs_atom134(X45,X2,X28,X34,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_133) ).
fof(c_0_129,axiom,
! [X45,X2,X28,X34,X5] :
( lhs_atom131(X45,X2,X28,X34,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_130) ).
fof(c_0_130,axiom,
! [X23,X11,X12,X13,X14] :
( lhs_atom126(X23,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_125) ).
fof(c_0_131,axiom,
! [X23,X11,X12,X13,X14] :
( lhs_atom125(X23,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_124) ).
fof(c_0_132,axiom,
! [X32,X33,X19,X13,X14] :
( lhs_atom122(X32,X33,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_121) ).
fof(c_0_133,axiom,
! [X2,X28,X5,X41,X42] :
( lhs_atom115(X2,X28,X5,X41,X42)
| ~ $true ),
file('<stdin>',to_be_clausified_114) ).
fof(c_0_134,axiom,
! [X19,X21,X22,X34,X14] :
( lhs_atom112(X19,X21,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_111) ).
fof(c_0_135,axiom,
! [X37,X29,X30,X19,X14] :
( lhs_atom111(X37,X29,X30,X19,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_136,axiom,
! [X32,X33,X19,X13,X14] :
( lhs_atom108(X32,X33,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_137,axiom,
! [X32,X33,X19,X13,X14] :
( lhs_atom107(X32,X33,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_138,axiom,
! [X38,X2,X7,X8,X5] :
( lhs_atom104(X38,X2,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_139,axiom,
! [X10,X19,X13,X6,X14] :
( lhs_atom103(X10,X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_140,axiom,
! [X11,X12,X13,X6,X14] :
( lhs_atom99(X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_141,axiom,
! [X2,X3,X28,X34,X5] :
( lhs_atom96(X2,X3,X28,X34,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_142,axiom,
! [X37,X26,X19,X27,X14] :
( lhs_atom95(X37,X26,X19,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_143,axiom,
! [X23,X19,X13,X27,X14] :
( lhs_atom81(X23,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_144,axiom,
! [X23,X11,X12,X13,X14] :
( lhs_atom80(X23,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_145,axiom,
! [X32,X33,X19,X13,X14] :
( lhs_atom76(X32,X33,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_146,axiom,
! [X2,X35,X28,X5,X36] :
( lhs_atom72(X2,X35,X28,X5,X36)
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_147,axiom,
! [X2,X3,X4,X28,X5] :
( lhs_atom66(X2,X3,X4,X28,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_148,axiom,
! [X11,X12,X13,X6,X14] :
( lhs_atom65(X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_149,axiom,
! [X19,X20,X21,X22,X14] :
( lhs_atom57(X19,X20,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_150,axiom,
! [X23,X19,X13,X27,X14] :
( lhs_atom49(X23,X19,X13,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_151,axiom,
! [X37,X26,X19,X27,X14] :
( lhs_atom46(X37,X26,X19,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_152,axiom,
! [X23,X11,X12,X13,X14] :
( lhs_atom45(X23,X11,X12,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_153,axiom,
! [X37,X29,X30,X19,X14] :
( lhs_atom43(X37,X29,X30,X19,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_154,axiom,
! [X2,X35,X28,X5,X36] :
( lhs_atom40(X2,X35,X28,X5,X36)
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_155,axiom,
! [X19,X21,X22,X34,X14] :
( lhs_atom33(X19,X21,X22,X34,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_156,axiom,
! [X11,X12,X13,X6,X14] :
( lhs_atom19(X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_157,axiom,
! [X11,X12,X13,X6,X14] :
( lhs_atom17(X11,X12,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_158,axiom,
! [X10,X19,X13,X6,X14] :
( lhs_atom14(X10,X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_159,axiom,
! [X19,X20,X21,X22,X14] :
( lhs_atom12(X19,X20,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_160,axiom,
! [X15,X16,X17,X18,X14] :
( lhs_atom11(X15,X16,X17,X18,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_161,axiom,
! [X2,X6,X7,X8,X5] :
( lhs_atom8(X2,X6,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_162,axiom,
! [X2,X6,X7,X8,X5] :
( lhs_atom6(X2,X6,X7,X8,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_163,axiom,
! [X37,X11,X12,X14] :
( lhs_atom225(X37,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_224) ).
fof(c_0_164,axiom,
! [X9,X2,X3,X5] :
( lhs_atom217(X9,X2,X3,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_216) ).
fof(c_0_165,axiom,
! [X37,X11,X12,X14] :
( lhs_atom204(X37,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_203) ).
fof(c_0_166,axiom,
! [X9,X2,X3,X5] :
( lhs_atom190(X9,X2,X3,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_189) ).
fof(c_0_167,axiom,
! [X37,X11,X12,X14] :
( lhs_atom170(X37,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_169) ).
fof(c_0_168,axiom,
! [X37,X11,X12,X14] :
( lhs_atom161(X37,X11,X12,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_160) ).
fof(c_0_169,axiom,
! [X2,X46,X47,X5] :
( lhs_atom149(X2,X46,X47,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_148) ).
fof(c_0_170,axiom,
! [X2,X3,X28,X5] :
( lhs_atom138(X2,X3,X28,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_137) ).
fof(c_0_171,axiom,
! [X2,X46,X47,X5] :
( lhs_atom136(X2,X46,X47,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_135) ).
fof(c_0_172,axiom,
! [X2,X3,X4,X5] :
( lhs_atom128(X2,X3,X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_127) ).
fof(c_0_173,axiom,
! [X2,X28,X5,X40] :
( lhs_atom127(X2,X28,X5,X40)
| ~ $true ),
file('<stdin>',to_be_clausified_126) ).
fof(c_0_174,axiom,
! [X43,X44,X18,X14] :
( lhs_atom124(X43,X44,X18,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_123) ).
fof(c_0_175,axiom,
! [X37,X19,X27,X14] :
( lhs_atom106(X37,X19,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_176,axiom,
! [X23,X19,X13,X14] :
( lhs_atom105(X23,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_177,axiom,
! [X2,X3,X4,X5] :
( lhs_atom98(X2,X3,X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_178,axiom,
! [X2,X3,X28,X5] :
( lhs_atom90(X2,X3,X28,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_179,axiom,
! [X19,X21,X22,X14] :
( lhs_atom85(X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_180,axiom,
! [X2,X28,X5,X40] :
( lhs_atom70(X2,X28,X5,X40)
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_181,axiom,
! [X19,X13,X6,X14] :
( lhs_atom63(X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_182,axiom,
! [X37,X19,X27,X14] :
( lhs_atom61(X37,X19,X27,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_183,axiom,
! [X19,X21,X22,X14] :
( lhs_atom48(X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_184,axiom,
! [X25,X23,X13,X14] :
( lhs_atom47(X25,X23,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_185,axiom,
! [X19,X13,X6,X14] :
( lhs_atom38(X19,X13,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_186,axiom,
! [X2,X28,X7,X5] :
( lhs_atom37(X2,X28,X7,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_187,axiom,
! [X19,X21,X22,X14] :
( lhs_atom32(X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_188,axiom,
! [X2,X28,X7,X5] :
( lhs_atom23(X2,X28,X7,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_189,axiom,
! [X25,X23,X13,X14] :
( lhs_atom18(X25,X23,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_190,axiom,
! [X23,X19,X13,X14] :
( lhs_atom15(X23,X19,X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_191,axiom,
! [X19,X21,X22,X14] :
( lhs_atom13(X19,X21,X22,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_192,axiom,
! [X2,X3,X4,X5] :
( lhs_atom9(X2,X3,X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_193,axiom,
! [X2,X3,X4,X5] :
( lhs_atom3(X2,X3,X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_194,axiom,
! [X52,X5,X14] :
( lhs_atom233(X52,X5,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_232) ).
fof(c_0_195,axiom,
! [X8,X5,X14] :
( lhs_atom231(X8,X5,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_230) ).
fof(c_0_196,axiom,
! [X53,X5,X14] :
( lhs_atom226(X53,X5,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_225) ).
fof(c_0_197,axiom,
! [X44,X18,X14] :
( lhs_atom215(X44,X18,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_214) ).
fof(c_0_198,axiom,
! [X5,X40,X14] :
( lhs_atom207(X5,X40,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_206) ).
fof(c_0_199,axiom,
! [X52,X48,X14] :
( lhs_atom198(X52,X48,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_197) ).
fof(c_0_200,axiom,
! [X48,X51,X14] :
( lhs_atom197(X48,X51,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_196) ).
fof(c_0_201,axiom,
! [X9,X2,X5] :
( lhs_atom167(X9,X2,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_166) ).
fof(c_0_202,axiom,
! [X50,X6,X14] :
( lhs_atom147(X50,X6,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_146) ).
fof(c_0_203,axiom,
! [X48,X49,X14] :
( lhs_atom146(X48,X49,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_145) ).
fof(c_0_204,axiom,
! [X2,X28,X5] :
( lhs_atom143(X2,X28,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_142) ).
fof(c_0_205,axiom,
! [X2,X5,X40] :
( lhs_atom135(X2,X5,X40)
| ~ $true ),
file('<stdin>',to_be_clausified_134) ).
fof(c_0_206,axiom,
! [X2,X5,X40] :
( lhs_atom130(X2,X5,X40)
| ~ $true ),
file('<stdin>',to_be_clausified_129) ).
fof(c_0_207,axiom,
! [X37,X19,X14] :
( lhs_atom119(X37,X19,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_118) ).
fof(c_0_208,axiom,
! [X2,X28,X5] :
( lhs_atom62(X2,X28,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_209,axiom,
! [X37,X19,X14] :
( lhs_atom41(X37,X19,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_210,axiom,
! [X48,X14] :
( lhs_atom236(X48,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_235) ).
fof(c_0_211,axiom,
! [X48,X14] :
( lhs_atom224(X48,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_223) ).
fof(c_0_212,axiom,
! [X5,X14] :
( lhs_atom212(X5,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_211) ).
fof(c_0_213,axiom,
! [X50,X14] :
( lhs_atom148(X50,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_147) ).
fof(c_0_214,axiom,
! [X53] :
( lhs_atom206(X53)
| ~ $true ),
file('<stdin>',to_be_clausified_205) ).
fof(c_0_215,axiom,
! [X31] :
( lhs_atom192(X31)
| ~ $true ),
file('<stdin>',to_be_clausified_191) ).
fof(c_0_216,axiom,
! [X31] :
( lhs_atom185(X31)
| ~ $true ),
file('<stdin>',to_be_clausified_184) ).
fof(c_0_217,axiom,
! [X31] :
( lhs_atom159(X31)
| ~ $true ),
file('<stdin>',to_be_clausified_158) ).
fof(c_0_218,axiom,
! [X31] :
( lhs_atom157(X31)
| ~ $true ),
file('<stdin>',to_be_clausified_156) ).
fof(c_0_219,axiom,
! [X1] :
( lhs_atom5(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_220,axiom,
! [X1] :
( lhs_atom4(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_221,axiom,
! [X1] :
( lhs_atom2(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_222,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_223,axiom,
( lhs_atom235
| ~ $true ),
file('<stdin>',to_be_clausified_234) ).
fof(c_0_224,axiom,
( lhs_atom234
| ~ $true ),
file('<stdin>',to_be_clausified_233) ).
fof(c_0_225,axiom,
( lhs_atom232
| ~ $true ),
file('<stdin>',to_be_clausified_231) ).
fof(c_0_226,axiom,
( lhs_atom230
| ~ $true ),
file('<stdin>',to_be_clausified_229) ).
fof(c_0_227,axiom,
( lhs_atom229
| ~ $true ),
file('<stdin>',to_be_clausified_228) ).
fof(c_0_228,axiom,
( lhs_atom222
| ~ $true ),
file('<stdin>',to_be_clausified_221) ).
fof(c_0_229,axiom,
( lhs_atom221
| ~ $true ),
file('<stdin>',to_be_clausified_220) ).
fof(c_0_230,axiom,
( lhs_atom218
| ~ $true ),
file('<stdin>',to_be_clausified_217) ).
fof(c_0_231,axiom,
( lhs_atom211
| ~ $true ),
file('<stdin>',to_be_clausified_210) ).
fof(c_0_232,axiom,
( lhs_atom205
| ~ $true ),
file('<stdin>',to_be_clausified_204) ).
fof(c_0_233,axiom,
( lhs_atom203
| ~ $true ),
file('<stdin>',to_be_clausified_202) ).
fof(c_0_234,axiom,
( lhs_atom145
| ~ $true ),
file('<stdin>',to_be_clausified_144) ).
fof(c_0_235,axiom,
( lhs_atom144
| ~ $true ),
file('<stdin>',to_be_clausified_143) ).
fof(c_0_236,plain,
! [X31,X32,X33,X11,X21,X12,X22,X27,X14] : lhs_atom181(X31,X32,X33,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_237,plain,
! [X31,X32,X33,X11,X21,X12,X22,X27,X14] : lhs_atom177(X31,X32,X33,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_238,plain,
! [X31,X20,X11,X21,X12,X22,X27,X14] : lhs_atom220(X31,X20,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_239,plain,
! [X31,X20,X11,X21,X12,X22,X27,X14] : lhs_atom209(X31,X20,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_240,plain,
! [X29,X30,X11,X21,X12,X22,X34,X14] : lhs_atom201(X29,X30,X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_241,plain,
! [X31,X11,X21,X12,X22,X34,X27,X14] : lhs_atom195(X31,X11,X21,X12,X22,X34,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_242,plain,
! [X32,X33,X24,X11,X21,X12,X22,X14] : lhs_atom194(X32,X33,X24,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_243,plain,
! [X31,X32,X33,X11,X12,X13,X27,X14] : lhs_atom186(X31,X32,X33,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_244,plain,
! [X32,X33,X24,X11,X21,X12,X22,X14] : lhs_atom183(X32,X33,X24,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_245,plain,
! [X29,X30,X11,X21,X12,X22,X34,X14] : lhs_atom174(X29,X30,X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_246,plain,
! [X31,X32,X33,X11,X12,X13,X27,X14] : lhs_atom171(X31,X32,X33,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_247,plain,
! [X31,X11,X21,X12,X22,X34,X27,X14] : lhs_atom168(X31,X11,X21,X12,X22,X34,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_248,plain,
! [X29,X32,X30,X33,X11,X12,X13,X14] : lhs_atom165(X29,X32,X30,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_249,plain,
! [X29,X32,X30,X33,X11,X12,X13,X14] : lhs_atom158(X29,X32,X30,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_250,plain,
! [X29,X32,X30,X33,X19,X21,X22,X14] : lhs_atom113(X29,X32,X30,X33,X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_251,plain,
! [X26,X32,X33,X19,X21,X22,X27,X14] : lhs_atom109(X26,X32,X33,X19,X21,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_252,plain,
! [X26,X32,X33,X19,X21,X22,X27,X14] : lhs_atom93(X26,X32,X33,X19,X21,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_253,plain,
! [X31,X32,X33,X11,X12,X13,X27,X14] : lhs_atom83(X31,X32,X33,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_254,plain,
! [X10,X31,X11,X12,X13,X27,X6,X14] : lhs_atom50(X10,X31,X11,X12,X13,X27,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_255,plain,
! [X31,X32,X33,X11,X12,X13,X27,X14] : lhs_atom44(X31,X32,X33,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_256,plain,
! [X10,X31,X11,X12,X13,X27,X6,X14] : lhs_atom31(X10,X31,X11,X12,X13,X27,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_257,plain,
! [X29,X32,X30,X33,X19,X21,X22,X14] : lhs_atom27(X29,X32,X30,X33,X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_258,plain,
! [X31,X11,X21,X12,X22,X27,X14] : lhs_atom228(X31,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_259,plain,
! [X31,X11,X21,X12,X22,X27,X14] : lhs_atom227(X31,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_260,plain,
! [X32,X33,X11,X21,X12,X22,X14] : lhs_atom202(X32,X33,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_261,plain,
! [X32,X33,X11,X21,X12,X22,X14] : lhs_atom199(X32,X33,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_262,plain,
! [X32,X33,X24,X11,X12,X13,X14] : lhs_atom193(X32,X33,X24,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_263,plain,
! [X32,X33,X24,X11,X12,X13,X14] : lhs_atom187(X32,X33,X24,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_264,plain,
! [X31,X11,X21,X12,X22,X27,X14] : lhs_atom180(X31,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_265,plain,
! [X29,X30,X19,X21,X22,X34,X14] : lhs_atom179(X29,X30,X19,X21,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_266,plain,
! [X24,X11,X21,X12,X22,X34,X14] : lhs_atom178(X24,X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_267,plain,
! [X32,X33,X11,X21,X12,X22,X14] : lhs_atom169(X32,X33,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_268,plain,
! [X31,X11,X21,X12,X22,X27,X14] : lhs_atom163(X31,X11,X21,X12,X22,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_269,plain,
! [X32,X33,X11,X21,X12,X22,X14] : lhs_atom156(X32,X33,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_270,plain,
! [X24,X11,X21,X12,X22,X34,X14] : lhs_atom155(X24,X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_271,plain,
! [X29,X30,X19,X21,X22,X34,X14] : lhs_atom151(X29,X30,X19,X21,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_272,plain,
! [X29,X32,X30,X33,X19,X13,X14] : lhs_atom121(X29,X32,X30,X33,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_273,plain,
! [X31,X11,X12,X13,X27,X6,X14] : lhs_atom120(X31,X11,X12,X13,X27,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_274,plain,
! [X26,X32,X33,X19,X13,X27,X14] : lhs_atom117(X26,X32,X33,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_275,plain,
! [X26,X32,X33,X19,X13,X27,X14] : lhs_atom102(X26,X32,X33,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_276,plain,
! [X26,X32,X33,X19,X13,X27,X14] : lhs_atom101(X26,X32,X33,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_277,plain,
! [X29,X30,X19,X21,X22,X34,X14] : lhs_atom89(X29,X30,X19,X21,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_278,plain,
! [X29,X30,X11,X12,X13,X6,X14] : lhs_atom86(X29,X30,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_279,plain,
! [X32,X33,X24,X11,X12,X13,X14] : lhs_atom84(X32,X33,X24,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_280,plain,
! [X29,X30,X23,X11,X12,X13,X14] : lhs_atom78(X29,X30,X23,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_281,plain,
! [X31,X23,X11,X12,X13,X27,X14] : lhs_atom77(X31,X23,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_282,plain,
! [X29,X30,X11,X12,X13,X6,X14] : lhs_atom75(X29,X30,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_283,plain,
! [X26,X32,X33,X19,X13,X27,X14] : lhs_atom71(X26,X32,X33,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_284,plain,
! [X32,X33,X24,X11,X12,X13,X14] : lhs_atom69(X32,X33,X24,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_285,plain,
! [X29,X30,X19,X21,X22,X34,X14] : lhs_atom67(X29,X30,X19,X21,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_286,plain,
! [X26,X19,X21,X22,X34,X27,X14] : lhs_atom60(X26,X19,X21,X22,X34,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_287,plain,
! [X31,X11,X12,X13,X27,X6,X14] : lhs_atom52(X31,X11,X12,X13,X27,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_288,plain,
! [X26,X19,X21,X22,X34,X27,X14] : lhs_atom39(X26,X19,X21,X22,X34,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_289,plain,
! [X29,X32,X30,X33,X19,X13,X14] : lhs_atom34(X29,X32,X30,X33,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_290,plain,
! [X29,X30,X23,X11,X12,X13,X14] : lhs_atom30(X29,X30,X23,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_291,plain,
! [X31,X23,X11,X12,X13,X27,X14] : lhs_atom26(X31,X23,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_292,plain,
! [X10,X24,X11,X12,X13,X6,X14] : lhs_atom21(X10,X24,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_293,plain,
! [X10,X24,X11,X12,X13,X6,X14] : lhs_atom16(X10,X24,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_294,plain,
! [X37,X31,X11,X12,X27,X14] : lhs_atom223(X37,X31,X11,X12,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_295,plain,
! [X37,X31,X11,X12,X27,X14] : lhs_atom219(X37,X31,X11,X12,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_296,plain,
! [X24,X11,X21,X12,X22,X14] : lhs_atom216(X24,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_297,plain,
! [X24,X11,X21,X12,X22,X14] : lhs_atom214(X24,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_298,plain,
! [X9,X2,X3,X7,X5,X40] : lhs_atom208(X9,X2,X3,X7,X5,X40),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_299,plain,
! [X9,X2,X3,X7,X5,X40] : lhs_atom200(X9,X2,X3,X7,X5,X40),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_300,plain,
! [X20,X11,X21,X12,X22,X14] : lhs_atom189(X20,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_301,plain,
! [X37,X29,X30,X11,X12,X14] : lhs_atom188(X37,X29,X30,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_302,plain,
! [X20,X11,X21,X12,X22,X14] : lhs_atom184(X20,X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_303,plain,
! [X11,X21,X12,X22,X34,X14] : lhs_atom175(X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_304,plain,
! [X11,X21,X12,X22,X34,X14] : lhs_atom173(X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_305,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom172(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_306,plain,
! [X11,X21,X12,X22,X34,X14] : lhs_atom166(X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_307,plain,
! [X11,X21,X12,X22,X34,X14] : lhs_atom164(X11,X21,X12,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_308,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom162(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_309,plain,
! [X37,X29,X30,X11,X12,X14] : lhs_atom153(X37,X29,X30,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_310,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom152(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_311,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom150(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_312,plain,
! [X2,X3,X28,X5,X41,X42] : lhs_atom140(X2,X3,X28,X5,X41,X42),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_313,plain,
! [X9,X2,X28,X5,X41,X42] : lhs_atom133(X9,X2,X28,X5,X41,X42),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_314,plain,
! [X9,X2,X28,X5,X41,X42] : lhs_atom132(X9,X2,X28,X5,X41,X42),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_315,plain,
! [X9,X38,X2,X7,X8,X5] : lhs_atom129(X9,X38,X2,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_316,plain,
! [X2,X3,X28,X5,X41,X42] : lhs_atom123(X2,X3,X28,X5,X41,X42),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_317,plain,
! [X29,X30,X23,X19,X13,X14] : lhs_atom118(X29,X30,X23,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_318,plain,
! [X19,X21,X22,X34,X27,X14] : lhs_atom116(X19,X21,X22,X34,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_319,plain,
! [X32,X33,X19,X21,X22,X14] : lhs_atom114(X32,X33,X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_320,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom110(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_321,plain,
! [X32,X33,X19,X21,X22,X14] : lhs_atom100(X32,X33,X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_322,plain,
! [X26,X23,X19,X13,X27,X14] : lhs_atom97(X26,X23,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_323,plain,
! [X31,X11,X12,X13,X27,X14] : lhs_atom94(X31,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_324,plain,
! [X29,X30,X23,X19,X13,X14] : lhs_atom92(X29,X30,X23,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_325,plain,
! [X29,X30,X23,X19,X13,X14] : lhs_atom91(X29,X30,X23,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_326,plain,
! [X29,X30,X19,X13,X6,X14] : lhs_atom88(X29,X30,X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_327,plain,
! [X29,X30,X19,X13,X6,X14] : lhs_atom87(X29,X30,X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_328,plain,
! [X10,X11,X12,X13,X6,X14] : lhs_atom82(X10,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_329,plain,
! [X23,X24,X11,X12,X13,X14] : lhs_atom79(X23,X24,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_330,plain,
! [X29,X30,X19,X13,X6,X14] : lhs_atom74(X29,X30,X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_331,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom73(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_332,plain,
! [X19,X21,X22,X34,X27,X14] : lhs_atom68(X19,X21,X22,X34,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_333,plain,
! [X23,X11,X12,X13,X39,X14] : lhs_atom64(X23,X11,X12,X13,X39,X14),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_334,plain,
! [X23,X11,X12,X13,X39,X14] : lhs_atom59(X23,X11,X12,X13,X39,X14),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_335,plain,
! [X26,X19,X13,X27,X6,X14] : lhs_atom58(X26,X19,X13,X27,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_336,plain,
! [X9,X2,X6,X7,X8,X5] : lhs_atom56(X9,X2,X6,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_337,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom55(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_338,plain,
! [X9,X38,X2,X7,X8,X5] : lhs_atom54(X9,X38,X2,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_339,plain,
! [X32,X33,X11,X12,X13,X14] : lhs_atom53(X32,X33,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_340,plain,
! [X24,X11,X12,X13,X6,X14] : lhs_atom51(X24,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_341,plain,
! [X26,X19,X13,X27,X6,X14] : lhs_atom42(X26,X19,X13,X27,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_342,plain,
! [X10,X11,X12,X13,X6,X14] : lhs_atom36(X10,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_343,plain,
! [X29,X30,X23,X19,X13,X14] : lhs_atom35(X29,X30,X23,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_344,plain,
! [X24,X11,X12,X13,X6,X14] : lhs_atom29(X24,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_345,plain,
! [X23,X24,X11,X12,X13,X14] : lhs_atom28(X23,X24,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_346,plain,
! [X31,X11,X12,X13,X27,X14] : lhs_atom25(X31,X11,X12,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_347,plain,
! [X29,X30,X19,X13,X6,X14] : lhs_atom24(X29,X30,X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_348,plain,
! [X26,X23,X19,X13,X27,X14] : lhs_atom22(X26,X23,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_349,plain,
! [X10,X11,X12,X13,X6,X14] : lhs_atom20(X10,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_350,plain,
! [X10,X11,X12,X13,X6,X14] : lhs_atom10(X10,X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_351,plain,
! [X9,X2,X6,X7,X8,X5] : lhs_atom7(X9,X2,X6,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_352,plain,
! [X37,X24,X11,X12,X14] : lhs_atom213(X37,X24,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_353,plain,
! [X37,X24,X11,X12,X14] : lhs_atom210(X37,X24,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_354,plain,
! [X11,X21,X12,X22,X14] : lhs_atom196(X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_355,plain,
! [X37,X29,X30,X19,X14] : lhs_atom191(X37,X29,X30,X19,X14),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_356,plain,
! [X37,X11,X12,X39,X14] : lhs_atom182(X37,X11,X12,X39,X14),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_357,plain,
! [X11,X21,X12,X22,X14] : lhs_atom176(X11,X21,X12,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_358,plain,
! [X37,X11,X12,X39,X14] : lhs_atom160(X37,X11,X12,X39,X14),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_359,plain,
! [X37,X29,X30,X19,X14] : lhs_atom154(X37,X29,X30,X19,X14),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_360,plain,
! [X38,X2,X7,X8,X5] : lhs_atom142(X38,X2,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_361,plain,
! [X2,X3,X28,X34,X5] : lhs_atom141(X2,X3,X28,X34,X5),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_362,plain,
! [X2,X3,X4,X28,X5] : lhs_atom139(X2,X3,X4,X28,X5),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_363,plain,
! [X2,X28,X5,X41,X42] : lhs_atom137(X2,X28,X5,X41,X42),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_364,plain,
! [X45,X2,X28,X34,X5] : lhs_atom134(X45,X2,X28,X34,X5),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_365,plain,
! [X45,X2,X28,X34,X5] : lhs_atom131(X45,X2,X28,X34,X5),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_366,plain,
! [X23,X11,X12,X13,X14] : lhs_atom126(X23,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_367,plain,
! [X23,X11,X12,X13,X14] : lhs_atom125(X23,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_368,plain,
! [X32,X33,X19,X13,X14] : lhs_atom122(X32,X33,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_369,plain,
! [X2,X28,X5,X41,X42] : lhs_atom115(X2,X28,X5,X41,X42),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_370,plain,
! [X19,X21,X22,X34,X14] : lhs_atom112(X19,X21,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_371,plain,
! [X37,X29,X30,X19,X14] : lhs_atom111(X37,X29,X30,X19,X14),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_372,plain,
! [X32,X33,X19,X13,X14] : lhs_atom108(X32,X33,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_373,plain,
! [X32,X33,X19,X13,X14] : lhs_atom107(X32,X33,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_374,plain,
! [X38,X2,X7,X8,X5] : lhs_atom104(X38,X2,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_375,plain,
! [X10,X19,X13,X6,X14] : lhs_atom103(X10,X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_376,plain,
! [X11,X12,X13,X6,X14] : lhs_atom99(X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_377,plain,
! [X2,X3,X28,X34,X5] : lhs_atom96(X2,X3,X28,X34,X5),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_378,plain,
! [X37,X26,X19,X27,X14] : lhs_atom95(X37,X26,X19,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_379,plain,
! [X23,X19,X13,X27,X14] : lhs_atom81(X23,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_380,plain,
! [X23,X11,X12,X13,X14] : lhs_atom80(X23,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_381,plain,
! [X32,X33,X19,X13,X14] : lhs_atom76(X32,X33,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_382,plain,
! [X2,X35,X28,X5,X36] : lhs_atom72(X2,X35,X28,X5,X36),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_383,plain,
! [X2,X3,X4,X28,X5] : lhs_atom66(X2,X3,X4,X28,X5),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_384,plain,
! [X11,X12,X13,X6,X14] : lhs_atom65(X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_385,plain,
! [X19,X20,X21,X22,X14] : lhs_atom57(X19,X20,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_386,plain,
! [X23,X19,X13,X27,X14] : lhs_atom49(X23,X19,X13,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_387,plain,
! [X37,X26,X19,X27,X14] : lhs_atom46(X37,X26,X19,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_388,plain,
! [X23,X11,X12,X13,X14] : lhs_atom45(X23,X11,X12,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_389,plain,
! [X37,X29,X30,X19,X14] : lhs_atom43(X37,X29,X30,X19,X14),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_390,plain,
! [X2,X35,X28,X5,X36] : lhs_atom40(X2,X35,X28,X5,X36),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_391,plain,
! [X19,X21,X22,X34,X14] : lhs_atom33(X19,X21,X22,X34,X14),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_392,plain,
! [X11,X12,X13,X6,X14] : lhs_atom19(X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_393,plain,
! [X11,X12,X13,X6,X14] : lhs_atom17(X11,X12,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_394,plain,
! [X10,X19,X13,X6,X14] : lhs_atom14(X10,X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_395,plain,
! [X19,X20,X21,X22,X14] : lhs_atom12(X19,X20,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_396,plain,
! [X15,X16,X17,X18,X14] : lhs_atom11(X15,X16,X17,X18,X14),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_397,plain,
! [X2,X6,X7,X8,X5] : lhs_atom8(X2,X6,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_398,plain,
! [X2,X6,X7,X8,X5] : lhs_atom6(X2,X6,X7,X8,X5),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_399,plain,
! [X37,X11,X12,X14] : lhs_atom225(X37,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_400,plain,
! [X9,X2,X3,X5] : lhs_atom217(X9,X2,X3,X5),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_401,plain,
! [X37,X11,X12,X14] : lhs_atom204(X37,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_402,plain,
! [X9,X2,X3,X5] : lhs_atom190(X9,X2,X3,X5),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_403,plain,
! [X37,X11,X12,X14] : lhs_atom170(X37,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_404,plain,
! [X37,X11,X12,X14] : lhs_atom161(X37,X11,X12,X14),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_405,plain,
! [X2,X46,X47,X5] : lhs_atom149(X2,X46,X47,X5),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_406,plain,
! [X2,X3,X28,X5] : lhs_atom138(X2,X3,X28,X5),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_407,plain,
! [X2,X46,X47,X5] : lhs_atom136(X2,X46,X47,X5),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_408,plain,
! [X2,X3,X4,X5] : lhs_atom128(X2,X3,X4,X5),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_409,plain,
! [X2,X28,X5,X40] : lhs_atom127(X2,X28,X5,X40),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_410,plain,
! [X43,X44,X18,X14] : lhs_atom124(X43,X44,X18,X14),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_411,plain,
! [X37,X19,X27,X14] : lhs_atom106(X37,X19,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_412,plain,
! [X23,X19,X13,X14] : lhs_atom105(X23,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_413,plain,
! [X2,X3,X4,X5] : lhs_atom98(X2,X3,X4,X5),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_414,plain,
! [X2,X3,X28,X5] : lhs_atom90(X2,X3,X28,X5),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_415,plain,
! [X19,X21,X22,X14] : lhs_atom85(X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_416,plain,
! [X2,X28,X5,X40] : lhs_atom70(X2,X28,X5,X40),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_417,plain,
! [X19,X13,X6,X14] : lhs_atom63(X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_418,plain,
! [X37,X19,X27,X14] : lhs_atom61(X37,X19,X27,X14),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_419,plain,
! [X19,X21,X22,X14] : lhs_atom48(X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_420,plain,
! [X25,X23,X13,X14] : lhs_atom47(X25,X23,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_421,plain,
! [X19,X13,X6,X14] : lhs_atom38(X19,X13,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_422,plain,
! [X2,X28,X7,X5] : lhs_atom37(X2,X28,X7,X5),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_423,plain,
! [X19,X21,X22,X14] : lhs_atom32(X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_424,plain,
! [X2,X28,X7,X5] : lhs_atom23(X2,X28,X7,X5),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_425,plain,
! [X25,X23,X13,X14] : lhs_atom18(X25,X23,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_426,plain,
! [X23,X19,X13,X14] : lhs_atom15(X23,X19,X13,X14),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_427,plain,
! [X19,X21,X22,X14] : lhs_atom13(X19,X21,X22,X14),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_428,plain,
! [X2,X3,X4,X5] : lhs_atom9(X2,X3,X4,X5),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_429,plain,
! [X2,X3,X4,X5] : lhs_atom3(X2,X3,X4,X5),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_430,plain,
! [X52,X5,X14] : lhs_atom233(X52,X5,X14),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_431,plain,
! [X8,X5,X14] : lhs_atom231(X8,X5,X14),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_432,plain,
! [X53,X5,X14] : lhs_atom226(X53,X5,X14),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_433,plain,
! [X44,X18,X14] : lhs_atom215(X44,X18,X14),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_434,plain,
! [X5,X40,X14] : lhs_atom207(X5,X40,X14),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_435,plain,
! [X52,X48,X14] : lhs_atom198(X52,X48,X14),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_436,plain,
! [X48,X51,X14] : lhs_atom197(X48,X51,X14),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_437,plain,
! [X9,X2,X5] : lhs_atom167(X9,X2,X5),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_438,plain,
! [X50,X6,X14] : lhs_atom147(X50,X6,X14),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_439,plain,
! [X48,X49,X14] : lhs_atom146(X48,X49,X14),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_440,plain,
! [X2,X28,X5] : lhs_atom143(X2,X28,X5),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_441,plain,
! [X2,X5,X40] : lhs_atom135(X2,X5,X40),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_442,plain,
! [X2,X5,X40] : lhs_atom130(X2,X5,X40),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_443,plain,
! [X37,X19,X14] : lhs_atom119(X37,X19,X14),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_444,plain,
! [X2,X28,X5] : lhs_atom62(X2,X28,X5),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_445,plain,
! [X37,X19,X14] : lhs_atom41(X37,X19,X14),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_446,plain,
! [X48,X14] : lhs_atom236(X48,X14),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_447,plain,
! [X48,X14] : lhs_atom224(X48,X14),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_448,plain,
! [X5,X14] : lhs_atom212(X5,X14),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_449,plain,
! [X50,X14] : lhs_atom148(X50,X14),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_450,plain,
! [X53] : lhs_atom206(X53),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_451,plain,
! [X31] : lhs_atom192(X31),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_452,plain,
! [X31] : lhs_atom185(X31),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_453,plain,
! [X31] : lhs_atom159(X31),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_454,plain,
! [X31] : lhs_atom157(X31),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_455,plain,
! [X1] : lhs_atom5(X1),
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_456,plain,
! [X1] : lhs_atom4(X1),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_457,plain,
! [X1] : lhs_atom2(X1),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_458,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_459,plain,
lhs_atom235,
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_460,plain,
lhs_atom234,
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_461,plain,
lhs_atom232,
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_462,plain,
lhs_atom230,
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_463,plain,
lhs_atom229,
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_464,plain,
lhs_atom222,
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_465,plain,
lhs_atom221,
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_466,plain,
lhs_atom218,
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_467,plain,
lhs_atom211,
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_468,plain,
lhs_atom205,
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_469,plain,
lhs_atom203,
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_470,plain,
lhs_atom145,
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_471,plain,
lhs_atom144,
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_472,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41,X42] : lhs_atom181(X34,X35,X36,X37,X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_236]) ).
fof(c_0_473,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41,X42] : lhs_atom177(X34,X35,X36,X37,X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_237]) ).
fof(c_0_474,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] : lhs_atom220(X32,X33,X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_238]) ).
fof(c_0_475,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] : lhs_atom209(X32,X33,X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_239]) ).
fof(c_0_476,plain,
! [X35,X36,X37,X38,X39,X40,X41,X42] : lhs_atom201(X35,X36,X37,X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_240]) ).
fof(c_0_477,plain,
! [X35,X36,X37,X38,X39,X40,X41,X42] : lhs_atom195(X35,X36,X37,X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_241]) ).
fof(c_0_478,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom194(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_242]) ).
fof(c_0_479,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom186(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_243]) ).
fof(c_0_480,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom183(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_244]) ).
fof(c_0_481,plain,
! [X35,X36,X37,X38,X39,X40,X41,X42] : lhs_atom174(X35,X36,X37,X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_245]) ).
fof(c_0_482,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom171(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_246]) ).
fof(c_0_483,plain,
! [X35,X36,X37,X38,X39,X40,X41,X42] : lhs_atom168(X35,X36,X37,X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_247]) ).
fof(c_0_484,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom165(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_248]) ).
fof(c_0_485,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom158(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_249]) ).
fof(c_0_486,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom113(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_250]) ).
fof(c_0_487,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom109(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_251]) ).
fof(c_0_488,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom93(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_252]) ).
fof(c_0_489,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom83(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_253]) ).
fof(c_0_490,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] : lhs_atom50(X32,X33,X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_254]) ).
fof(c_0_491,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom44(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_255]) ).
fof(c_0_492,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] : lhs_atom31(X32,X33,X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_256]) ).
fof(c_0_493,plain,
! [X34,X35,X36,X37,X38,X39,X40,X41] : lhs_atom27(X34,X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_257]) ).
fof(c_0_494,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom228(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_258]) ).
fof(c_0_495,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom227(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_259]) ).
fof(c_0_496,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom202(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_260]) ).
fof(c_0_497,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom199(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_261]) ).
fof(c_0_498,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom193(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_262]) ).
fof(c_0_499,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom187(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_263]) ).
fof(c_0_500,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom180(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_264]) ).
fof(c_0_501,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom179(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_265]) ).
fof(c_0_502,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom178(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_266]) ).
fof(c_0_503,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom169(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_267]) ).
fof(c_0_504,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom163(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_268]) ).
fof(c_0_505,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom156(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_269]) ).
fof(c_0_506,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom155(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_270]) ).
fof(c_0_507,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom151(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_271]) ).
fof(c_0_508,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom121(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_272]) ).
fof(c_0_509,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom120(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_510,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom117(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_511,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom102(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_275]) ).
fof(c_0_512,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom101(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_276]) ).
fof(c_0_513,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom89(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_277]) ).
fof(c_0_514,plain,
! [X31,X32,X33,X34,X35,X36,X37] : lhs_atom86(X31,X32,X33,X34,X35,X36,X37),
inference(variable_rename,[status(thm)],[c_0_278]) ).
fof(c_0_515,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom84(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_279]) ).
fof(c_0_516,plain,
! [X31,X32,X33,X34,X35,X36,X37] : lhs_atom78(X31,X32,X33,X34,X35,X36,X37),
inference(variable_rename,[status(thm)],[c_0_280]) ).
fof(c_0_517,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom77(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_281]) ).
fof(c_0_518,plain,
! [X31,X32,X33,X34,X35,X36,X37] : lhs_atom75(X31,X32,X33,X34,X35,X36,X37),
inference(variable_rename,[status(thm)],[c_0_282]) ).
fof(c_0_519,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom71(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_283]) ).
fof(c_0_520,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom69(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_284]) ).
fof(c_0_521,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom67(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_285]) ).
fof(c_0_522,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom60(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_286]) ).
fof(c_0_523,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom52(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_287]) ).
fof(c_0_524,plain,
! [X35,X36,X37,X38,X39,X40,X41] : lhs_atom39(X35,X36,X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_288]) ).
fof(c_0_525,plain,
! [X34,X35,X36,X37,X38,X39,X40] : lhs_atom34(X34,X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_289]) ).
fof(c_0_526,plain,
! [X31,X32,X33,X34,X35,X36,X37] : lhs_atom30(X31,X32,X33,X34,X35,X36,X37),
inference(variable_rename,[status(thm)],[c_0_290]) ).
fof(c_0_527,plain,
! [X32,X33,X34,X35,X36,X37,X38] : lhs_atom26(X32,X33,X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_291]) ).
fof(c_0_528,plain,
! [X25,X26,X27,X28,X29,X30,X31] : lhs_atom21(X25,X26,X27,X28,X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_292]) ).
fof(c_0_529,plain,
! [X25,X26,X27,X28,X29,X30,X31] : lhs_atom16(X25,X26,X27,X28,X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_293]) ).
fof(c_0_530,plain,
! [X38,X39,X40,X41,X42,X43] : lhs_atom223(X38,X39,X40,X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_294]) ).
fof(c_0_531,plain,
! [X38,X39,X40,X41,X42,X43] : lhs_atom219(X38,X39,X40,X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_295]) ).
fof(c_0_532,plain,
! [X25,X26,X27,X28,X29,X30] : lhs_atom216(X25,X26,X27,X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_296]) ).
fof(c_0_533,plain,
! [X25,X26,X27,X28,X29,X30] : lhs_atom214(X25,X26,X27,X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_297]) ).
fof(c_0_534,plain,
! [X41,X42,X43,X44,X45,X46] : lhs_atom208(X41,X42,X43,X44,X45,X46),
inference(variable_rename,[status(thm)],[c_0_298]) ).
fof(c_0_535,plain,
! [X41,X42,X43,X44,X45,X46] : lhs_atom200(X41,X42,X43,X44,X45,X46),
inference(variable_rename,[status(thm)],[c_0_299]) ).
fof(c_0_536,plain,
! [X23,X24,X25,X26,X27,X28] : lhs_atom189(X23,X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_300]) ).
fof(c_0_537,plain,
! [X38,X39,X40,X41,X42,X43] : lhs_atom188(X38,X39,X40,X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_301]) ).
fof(c_0_538,plain,
! [X23,X24,X25,X26,X27,X28] : lhs_atom184(X23,X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_302]) ).
fof(c_0_539,plain,
! [X35,X36,X37,X38,X39,X40] : lhs_atom175(X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_303]) ).
fof(c_0_540,plain,
! [X35,X36,X37,X38,X39,X40] : lhs_atom173(X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_304]) ).
fof(c_0_541,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom172(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_305]) ).
fof(c_0_542,plain,
! [X35,X36,X37,X38,X39,X40] : lhs_atom166(X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_306]) ).
fof(c_0_543,plain,
! [X35,X36,X37,X38,X39,X40] : lhs_atom164(X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_307]) ).
fof(c_0_544,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom162(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_308]) ).
fof(c_0_545,plain,
! [X38,X39,X40,X41,X42,X43] : lhs_atom153(X38,X39,X40,X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_309]) ).
fof(c_0_546,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom152(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_310]) ).
fof(c_0_547,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom150(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_311]) ).
fof(c_0_548,plain,
! [X43,X44,X45,X46,X47,X48] : lhs_atom140(X43,X44,X45,X46,X47,X48),
inference(variable_rename,[status(thm)],[c_0_312]) ).
fof(c_0_549,plain,
! [X43,X44,X45,X46,X47,X48] : lhs_atom133(X43,X44,X45,X46,X47,X48),
inference(variable_rename,[status(thm)],[c_0_313]) ).
fof(c_0_550,plain,
! [X43,X44,X45,X46,X47,X48] : lhs_atom132(X43,X44,X45,X46,X47,X48),
inference(variable_rename,[status(thm)],[c_0_314]) ).
fof(c_0_551,plain,
! [X39,X40,X41,X42,X43,X44] : lhs_atom129(X39,X40,X41,X42,X43,X44),
inference(variable_rename,[status(thm)],[c_0_315]) ).
fof(c_0_552,plain,
! [X43,X44,X45,X46,X47,X48] : lhs_atom123(X43,X44,X45,X46,X47,X48),
inference(variable_rename,[status(thm)],[c_0_316]) ).
fof(c_0_553,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom118(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_317]) ).
fof(c_0_554,plain,
! [X35,X36,X37,X38,X39,X40] : lhs_atom116(X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_318]) ).
fof(c_0_555,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom114(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_319]) ).
fof(c_0_556,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom110(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_320]) ).
fof(c_0_557,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom100(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_321]) ).
fof(c_0_558,plain,
! [X28,X29,X30,X31,X32,X33] : lhs_atom97(X28,X29,X30,X31,X32,X33),
inference(variable_rename,[status(thm)],[c_0_322]) ).
fof(c_0_559,plain,
! [X32,X33,X34,X35,X36,X37] : lhs_atom94(X32,X33,X34,X35,X36,X37),
inference(variable_rename,[status(thm)],[c_0_323]) ).
fof(c_0_560,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom92(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_324]) ).
fof(c_0_561,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom91(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_325]) ).
fof(c_0_562,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom88(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_326]) ).
fof(c_0_563,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom87(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_327]) ).
fof(c_0_564,plain,
! [X15,X16,X17,X18,X19,X20] : lhs_atom82(X15,X16,X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_565,plain,
! [X25,X26,X27,X28,X29,X30] : lhs_atom79(X25,X26,X27,X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_329]) ).
fof(c_0_566,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom74(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_330]) ).
fof(c_0_567,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom73(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_331]) ).
fof(c_0_568,plain,
! [X35,X36,X37,X38,X39,X40] : lhs_atom68(X35,X36,X37,X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_569,plain,
! [X40,X41,X42,X43,X44,X45] : lhs_atom64(X40,X41,X42,X43,X44,X45),
inference(variable_rename,[status(thm)],[c_0_333]) ).
fof(c_0_570,plain,
! [X40,X41,X42,X43,X44,X45] : lhs_atom59(X40,X41,X42,X43,X44,X45),
inference(variable_rename,[status(thm)],[c_0_334]) ).
fof(c_0_571,plain,
! [X28,X29,X30,X31,X32,X33] : lhs_atom58(X28,X29,X30,X31,X32,X33),
inference(variable_rename,[status(thm)],[c_0_335]) ).
fof(c_0_572,plain,
! [X10,X11,X12,X13,X14,X15] : lhs_atom56(X10,X11,X12,X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_336]) ).
fof(c_0_573,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom55(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_337]) ).
fof(c_0_574,plain,
! [X39,X40,X41,X42,X43,X44] : lhs_atom54(X39,X40,X41,X42,X43,X44),
inference(variable_rename,[status(thm)],[c_0_338]) ).
fof(c_0_575,plain,
! [X34,X35,X36,X37,X38,X39] : lhs_atom53(X34,X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_339]) ).
fof(c_0_576,plain,
! [X25,X26,X27,X28,X29,X30] : lhs_atom51(X25,X26,X27,X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_340]) ).
fof(c_0_577,plain,
! [X28,X29,X30,X31,X32,X33] : lhs_atom42(X28,X29,X30,X31,X32,X33),
inference(variable_rename,[status(thm)],[c_0_341]) ).
fof(c_0_578,plain,
! [X15,X16,X17,X18,X19,X20] : lhs_atom36(X15,X16,X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_342]) ).
fof(c_0_579,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom35(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_343]) ).
fof(c_0_580,plain,
! [X25,X26,X27,X28,X29,X30] : lhs_atom29(X25,X26,X27,X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_344]) ).
fof(c_0_581,plain,
! [X25,X26,X27,X28,X29,X30] : lhs_atom28(X25,X26,X27,X28,X29,X30),
inference(variable_rename,[status(thm)],[c_0_345]) ).
fof(c_0_582,plain,
! [X32,X33,X34,X35,X36,X37] : lhs_atom25(X32,X33,X34,X35,X36,X37),
inference(variable_rename,[status(thm)],[c_0_346]) ).
fof(c_0_583,plain,
! [X31,X32,X33,X34,X35,X36] : lhs_atom24(X31,X32,X33,X34,X35,X36),
inference(variable_rename,[status(thm)],[c_0_347]) ).
fof(c_0_584,plain,
! [X28,X29,X30,X31,X32,X33] : lhs_atom22(X28,X29,X30,X31,X32,X33),
inference(variable_rename,[status(thm)],[c_0_348]) ).
fof(c_0_585,plain,
! [X15,X16,X17,X18,X19,X20] : lhs_atom20(X15,X16,X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_349]) ).
fof(c_0_586,plain,
! [X15,X16,X17,X18,X19,X20] : lhs_atom10(X15,X16,X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_350]) ).
fof(c_0_587,plain,
! [X10,X11,X12,X13,X14,X15] : lhs_atom7(X10,X11,X12,X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_351]) ).
fof(c_0_588,plain,
! [X38,X39,X40,X41,X42] : lhs_atom213(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_352]) ).
fof(c_0_589,plain,
! [X38,X39,X40,X41,X42] : lhs_atom210(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_353]) ).
fof(c_0_590,plain,
! [X23,X24,X25,X26,X27] : lhs_atom196(X23,X24,X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_354]) ).
fof(c_0_591,plain,
! [X38,X39,X40,X41,X42] : lhs_atom191(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_355]) ).
fof(c_0_592,plain,
! [X40,X41,X42,X43,X44] : lhs_atom182(X40,X41,X42,X43,X44),
inference(variable_rename,[status(thm)],[c_0_356]) ).
fof(c_0_593,plain,
! [X23,X24,X25,X26,X27] : lhs_atom176(X23,X24,X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_357]) ).
fof(c_0_594,plain,
! [X40,X41,X42,X43,X44] : lhs_atom160(X40,X41,X42,X43,X44),
inference(variable_rename,[status(thm)],[c_0_358]) ).
fof(c_0_595,plain,
! [X38,X39,X40,X41,X42] : lhs_atom154(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_359]) ).
fof(c_0_596,plain,
! [X39,X40,X41,X42,X43] : lhs_atom142(X39,X40,X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_360]) ).
fof(c_0_597,plain,
! [X35,X36,X37,X38,X39] : lhs_atom141(X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_361]) ).
fof(c_0_598,plain,
! [X29,X30,X31,X32,X33] : lhs_atom139(X29,X30,X31,X32,X33),
inference(variable_rename,[status(thm)],[c_0_362]) ).
fof(c_0_599,plain,
! [X43,X44,X45,X46,X47] : lhs_atom137(X43,X44,X45,X46,X47),
inference(variable_rename,[status(thm)],[c_0_363]) ).
fof(c_0_600,plain,
! [X46,X47,X48,X49,X50] : lhs_atom134(X46,X47,X48,X49,X50),
inference(variable_rename,[status(thm)],[c_0_364]) ).
fof(c_0_601,plain,
! [X46,X47,X48,X49,X50] : lhs_atom131(X46,X47,X48,X49,X50),
inference(variable_rename,[status(thm)],[c_0_365]) ).
fof(c_0_602,plain,
! [X24,X25,X26,X27,X28] : lhs_atom126(X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_366]) ).
fof(c_0_603,plain,
! [X24,X25,X26,X27,X28] : lhs_atom125(X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_367]) ).
fof(c_0_604,plain,
! [X34,X35,X36,X37,X38] : lhs_atom122(X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_368]) ).
fof(c_0_605,plain,
! [X43,X44,X45,X46,X47] : lhs_atom115(X43,X44,X45,X46,X47),
inference(variable_rename,[status(thm)],[c_0_369]) ).
fof(c_0_606,plain,
! [X35,X36,X37,X38,X39] : lhs_atom112(X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_370]) ).
fof(c_0_607,plain,
! [X38,X39,X40,X41,X42] : lhs_atom111(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_371]) ).
fof(c_0_608,plain,
! [X34,X35,X36,X37,X38] : lhs_atom108(X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_372]) ).
fof(c_0_609,plain,
! [X34,X35,X36,X37,X38] : lhs_atom107(X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_373]) ).
fof(c_0_610,plain,
! [X39,X40,X41,X42,X43] : lhs_atom104(X39,X40,X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_374]) ).
fof(c_0_611,plain,
! [X20,X21,X22,X23,X24] : lhs_atom103(X20,X21,X22,X23,X24),
inference(variable_rename,[status(thm)],[c_0_375]) ).
fof(c_0_612,plain,
! [X15,X16,X17,X18,X19] : lhs_atom99(X15,X16,X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_376]) ).
fof(c_0_613,plain,
! [X35,X36,X37,X38,X39] : lhs_atom96(X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_377]) ).
fof(c_0_614,plain,
! [X38,X39,X40,X41,X42] : lhs_atom95(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_378]) ).
fof(c_0_615,plain,
! [X28,X29,X30,X31,X32] : lhs_atom81(X28,X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_379]) ).
fof(c_0_616,plain,
! [X24,X25,X26,X27,X28] : lhs_atom80(X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_380]) ).
fof(c_0_617,plain,
! [X34,X35,X36,X37,X38] : lhs_atom76(X34,X35,X36,X37,X38),
inference(variable_rename,[status(thm)],[c_0_381]) ).
fof(c_0_618,plain,
! [X37,X38,X39,X40,X41] : lhs_atom72(X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_382]) ).
fof(c_0_619,plain,
! [X29,X30,X31,X32,X33] : lhs_atom66(X29,X30,X31,X32,X33),
inference(variable_rename,[status(thm)],[c_0_383]) ).
fof(c_0_620,plain,
! [X15,X16,X17,X18,X19] : lhs_atom65(X15,X16,X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_384]) ).
fof(c_0_621,plain,
! [X23,X24,X25,X26,X27] : lhs_atom57(X23,X24,X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_385]) ).
fof(c_0_622,plain,
! [X28,X29,X30,X31,X32] : lhs_atom49(X28,X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_386]) ).
fof(c_0_623,plain,
! [X38,X39,X40,X41,X42] : lhs_atom46(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_387]) ).
fof(c_0_624,plain,
! [X24,X25,X26,X27,X28] : lhs_atom45(X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_388]) ).
fof(c_0_625,plain,
! [X38,X39,X40,X41,X42] : lhs_atom43(X38,X39,X40,X41,X42),
inference(variable_rename,[status(thm)],[c_0_389]) ).
fof(c_0_626,plain,
! [X37,X38,X39,X40,X41] : lhs_atom40(X37,X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_390]) ).
fof(c_0_627,plain,
! [X35,X36,X37,X38,X39] : lhs_atom33(X35,X36,X37,X38,X39),
inference(variable_rename,[status(thm)],[c_0_391]) ).
fof(c_0_628,plain,
! [X15,X16,X17,X18,X19] : lhs_atom19(X15,X16,X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_392]) ).
fof(c_0_629,plain,
! [X15,X16,X17,X18,X19] : lhs_atom17(X15,X16,X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_393]) ).
fof(c_0_630,plain,
! [X20,X21,X22,X23,X24] : lhs_atom14(X20,X21,X22,X23,X24),
inference(variable_rename,[status(thm)],[c_0_394]) ).
fof(c_0_631,plain,
! [X23,X24,X25,X26,X27] : lhs_atom12(X23,X24,X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_395]) ).
fof(c_0_632,plain,
! [X19,X20,X21,X22,X23] : lhs_atom11(X19,X20,X21,X22,X23),
inference(variable_rename,[status(thm)],[c_0_396]) ).
fof(c_0_633,plain,
! [X9,X10,X11,X12,X13] : lhs_atom8(X9,X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_397]) ).
fof(c_0_634,plain,
! [X9,X10,X11,X12,X13] : lhs_atom6(X9,X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_398]) ).
fof(c_0_635,plain,
! [X38,X39,X40,X41] : lhs_atom225(X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_399]) ).
fof(c_0_636,plain,
! [X10,X11,X12,X13] : lhs_atom217(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_400]) ).
fof(c_0_637,plain,
! [X38,X39,X40,X41] : lhs_atom204(X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_401]) ).
fof(c_0_638,plain,
! [X10,X11,X12,X13] : lhs_atom190(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_402]) ).
fof(c_0_639,plain,
! [X38,X39,X40,X41] : lhs_atom170(X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_403]) ).
fof(c_0_640,plain,
! [X38,X39,X40,X41] : lhs_atom161(X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_404]) ).
fof(c_0_641,plain,
! [X48,X49,X50,X51] : lhs_atom149(X48,X49,X50,X51),
inference(variable_rename,[status(thm)],[c_0_405]) ).
fof(c_0_642,plain,
! [X29,X30,X31,X32] : lhs_atom138(X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_406]) ).
fof(c_0_643,plain,
! [X48,X49,X50,X51] : lhs_atom136(X48,X49,X50,X51),
inference(variable_rename,[status(thm)],[c_0_407]) ).
fof(c_0_644,plain,
! [X6,X7,X8,X9] : lhs_atom128(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_408]) ).
fof(c_0_645,plain,
! [X41,X42,X43,X44] : lhs_atom127(X41,X42,X43,X44),
inference(variable_rename,[status(thm)],[c_0_409]) ).
fof(c_0_646,plain,
! [X45,X46,X47,X48] : lhs_atom124(X45,X46,X47,X48),
inference(variable_rename,[status(thm)],[c_0_410]) ).
fof(c_0_647,plain,
! [X38,X39,X40,X41] : lhs_atom106(X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_411]) ).
fof(c_0_648,plain,
! [X24,X25,X26,X27] : lhs_atom105(X24,X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_412]) ).
fof(c_0_649,plain,
! [X6,X7,X8,X9] : lhs_atom98(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_413]) ).
fof(c_0_650,plain,
! [X29,X30,X31,X32] : lhs_atom90(X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_414]) ).
fof(c_0_651,plain,
! [X23,X24,X25,X26] : lhs_atom85(X23,X24,X25,X26),
inference(variable_rename,[status(thm)],[c_0_415]) ).
fof(c_0_652,plain,
! [X41,X42,X43,X44] : lhs_atom70(X41,X42,X43,X44),
inference(variable_rename,[status(thm)],[c_0_416]) ).
fof(c_0_653,plain,
! [X20,X21,X22,X23] : lhs_atom63(X20,X21,X22,X23),
inference(variable_rename,[status(thm)],[c_0_417]) ).
fof(c_0_654,plain,
! [X38,X39,X40,X41] : lhs_atom61(X38,X39,X40,X41),
inference(variable_rename,[status(thm)],[c_0_418]) ).
fof(c_0_655,plain,
! [X23,X24,X25,X26] : lhs_atom48(X23,X24,X25,X26),
inference(variable_rename,[status(thm)],[c_0_419]) ).
fof(c_0_656,plain,
! [X26,X27,X28,X29] : lhs_atom47(X26,X27,X28,X29),
inference(variable_rename,[status(thm)],[c_0_420]) ).
fof(c_0_657,plain,
! [X20,X21,X22,X23] : lhs_atom38(X20,X21,X22,X23),
inference(variable_rename,[status(thm)],[c_0_421]) ).
fof(c_0_658,plain,
! [X29,X30,X31,X32] : lhs_atom37(X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_422]) ).
fof(c_0_659,plain,
! [X23,X24,X25,X26] : lhs_atom32(X23,X24,X25,X26),
inference(variable_rename,[status(thm)],[c_0_423]) ).
fof(c_0_660,plain,
! [X29,X30,X31,X32] : lhs_atom23(X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_424]) ).
fof(c_0_661,plain,
! [X26,X27,X28,X29] : lhs_atom18(X26,X27,X28,X29),
inference(variable_rename,[status(thm)],[c_0_425]) ).
fof(c_0_662,plain,
! [X24,X25,X26,X27] : lhs_atom15(X24,X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_426]) ).
fof(c_0_663,plain,
! [X23,X24,X25,X26] : lhs_atom13(X23,X24,X25,X26),
inference(variable_rename,[status(thm)],[c_0_427]) ).
fof(c_0_664,plain,
! [X6,X7,X8,X9] : lhs_atom9(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_428]) ).
fof(c_0_665,plain,
! [X6,X7,X8,X9] : lhs_atom3(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_429]) ).
fof(c_0_666,plain,
! [X53,X54,X55] : lhs_atom233(X53,X54,X55),
inference(variable_rename,[status(thm)],[c_0_430]) ).
fof(c_0_667,plain,
! [X15,X16,X17] : lhs_atom231(X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_431]) ).
fof(c_0_668,plain,
! [X54,X55,X56] : lhs_atom226(X54,X55,X56),
inference(variable_rename,[status(thm)],[c_0_432]) ).
fof(c_0_669,plain,
! [X45,X46,X47] : lhs_atom215(X45,X46,X47),
inference(variable_rename,[status(thm)],[c_0_433]) ).
fof(c_0_670,plain,
! [X41,X42,X43] : lhs_atom207(X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_434]) ).
fof(c_0_671,plain,
! [X53,X54,X55] : lhs_atom198(X53,X54,X55),
inference(variable_rename,[status(thm)],[c_0_435]) ).
fof(c_0_672,plain,
! [X52,X53,X54] : lhs_atom197(X52,X53,X54),
inference(variable_rename,[status(thm)],[c_0_436]) ).
fof(c_0_673,plain,
! [X10,X11,X12] : lhs_atom167(X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_437]) ).
fof(c_0_674,plain,
! [X51,X52,X53] : lhs_atom147(X51,X52,X53),
inference(variable_rename,[status(thm)],[c_0_438]) ).
fof(c_0_675,plain,
! [X50,X51,X52] : lhs_atom146(X50,X51,X52),
inference(variable_rename,[status(thm)],[c_0_439]) ).
fof(c_0_676,plain,
! [X29,X30,X31] : lhs_atom143(X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_440]) ).
fof(c_0_677,plain,
! [X41,X42,X43] : lhs_atom135(X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_441]) ).
fof(c_0_678,plain,
! [X41,X42,X43] : lhs_atom130(X41,X42,X43),
inference(variable_rename,[status(thm)],[c_0_442]) ).
fof(c_0_679,plain,
! [X38,X39,X40] : lhs_atom119(X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_443]) ).
fof(c_0_680,plain,
! [X29,X30,X31] : lhs_atom62(X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_444]) ).
fof(c_0_681,plain,
! [X38,X39,X40] : lhs_atom41(X38,X39,X40),
inference(variable_rename,[status(thm)],[c_0_445]) ).
fof(c_0_682,plain,
! [X49,X50] : lhs_atom236(X49,X50),
inference(variable_rename,[status(thm)],[c_0_446]) ).
fof(c_0_683,plain,
! [X49,X50] : lhs_atom224(X49,X50),
inference(variable_rename,[status(thm)],[c_0_447]) ).
fof(c_0_684,plain,
! [X15,X16] : lhs_atom212(X15,X16),
inference(variable_rename,[status(thm)],[c_0_448]) ).
fof(c_0_685,plain,
! [X51,X52] : lhs_atom148(X51,X52),
inference(variable_rename,[status(thm)],[c_0_449]) ).
fof(c_0_686,plain,
! [X54] : lhs_atom206(X54),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_687,plain,
! [X32] : lhs_atom192(X32),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_688,plain,
! [X32] : lhs_atom185(X32),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_689,plain,
! [X32] : lhs_atom159(X32),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_690,plain,
! [X32] : lhs_atom157(X32),
inference(variable_rename,[status(thm)],[c_0_454]) ).
fof(c_0_691,plain,
! [X2] : lhs_atom5(X2),
inference(variable_rename,[status(thm)],[c_0_455]) ).
fof(c_0_692,plain,
! [X2] : lhs_atom4(X2),
inference(variable_rename,[status(thm)],[c_0_456]) ).
fof(c_0_693,plain,
! [X2] : lhs_atom2(X2),
inference(variable_rename,[status(thm)],[c_0_457]) ).
fof(c_0_694,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_458]) ).
fof(c_0_695,plain,
lhs_atom235,
c_0_459 ).
fof(c_0_696,plain,
lhs_atom234,
c_0_460 ).
fof(c_0_697,plain,
lhs_atom232,
c_0_461 ).
fof(c_0_698,plain,
lhs_atom230,
c_0_462 ).
fof(c_0_699,plain,
lhs_atom229,
c_0_463 ).
fof(c_0_700,plain,
lhs_atom222,
c_0_464 ).
fof(c_0_701,plain,
lhs_atom221,
c_0_465 ).
fof(c_0_702,plain,
lhs_atom218,
c_0_466 ).
fof(c_0_703,plain,
lhs_atom211,
c_0_467 ).
fof(c_0_704,plain,
lhs_atom205,
c_0_468 ).
fof(c_0_705,plain,
lhs_atom203,
c_0_469 ).
fof(c_0_706,plain,
lhs_atom145,
c_0_470 ).
fof(c_0_707,plain,
lhs_atom144,
c_0_471 ).
cnf(c_0_708,plain,
lhs_atom181(X1,X2,X3,X4,X5,X6,X7,X8,X9),
inference(split_conjunct,[status(thm)],[c_0_472]) ).
cnf(c_0_709,plain,
lhs_atom177(X1,X2,X3,X4,X5,X6,X7,X8,X9),
inference(split_conjunct,[status(thm)],[c_0_473]) ).
cnf(c_0_710,plain,
lhs_atom220(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_711,plain,
lhs_atom209(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_475]) ).
cnf(c_0_712,plain,
lhs_atom201(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_476]) ).
cnf(c_0_713,plain,
lhs_atom195(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_714,plain,
lhs_atom194(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_478]) ).
cnf(c_0_715,plain,
lhs_atom186(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_479]) ).
cnf(c_0_716,plain,
lhs_atom183(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_480]) ).
cnf(c_0_717,plain,
lhs_atom174(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_481]) ).
cnf(c_0_718,plain,
lhs_atom171(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_482]) ).
cnf(c_0_719,plain,
lhs_atom168(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_483]) ).
cnf(c_0_720,plain,
lhs_atom165(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_484]) ).
cnf(c_0_721,plain,
lhs_atom158(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_485]) ).
cnf(c_0_722,plain,
lhs_atom113(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_486]) ).
cnf(c_0_723,plain,
lhs_atom109(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_487]) ).
cnf(c_0_724,plain,
lhs_atom93(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_488]) ).
cnf(c_0_725,plain,
lhs_atom83(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_489]) ).
cnf(c_0_726,plain,
lhs_atom50(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_490]) ).
cnf(c_0_727,plain,
lhs_atom44(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_728,plain,
lhs_atom31(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_492]) ).
cnf(c_0_729,plain,
lhs_atom27(X1,X2,X3,X4,X5,X6,X7,X8),
inference(split_conjunct,[status(thm)],[c_0_493]) ).
cnf(c_0_730,plain,
lhs_atom228(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_494]) ).
cnf(c_0_731,plain,
lhs_atom227(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_732,plain,
lhs_atom202(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_496]) ).
cnf(c_0_733,plain,
lhs_atom199(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_497]) ).
cnf(c_0_734,plain,
lhs_atom193(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_498]) ).
cnf(c_0_735,plain,
lhs_atom187(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_499]) ).
cnf(c_0_736,plain,
lhs_atom180(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_500]) ).
cnf(c_0_737,plain,
lhs_atom179(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_501]) ).
cnf(c_0_738,plain,
lhs_atom178(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_739,plain,
lhs_atom169(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_503]) ).
cnf(c_0_740,plain,
lhs_atom163(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_504]) ).
cnf(c_0_741,plain,
lhs_atom156(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_505]) ).
cnf(c_0_742,plain,
lhs_atom155(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_743,plain,
lhs_atom151(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_507]) ).
cnf(c_0_744,plain,
lhs_atom121(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_508]) ).
cnf(c_0_745,plain,
lhs_atom120(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_509]) ).
cnf(c_0_746,plain,
lhs_atom117(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_510]) ).
cnf(c_0_747,plain,
lhs_atom102(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_511]) ).
cnf(c_0_748,plain,
lhs_atom101(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_512]) ).
cnf(c_0_749,plain,
lhs_atom89(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_513]) ).
cnf(c_0_750,plain,
lhs_atom86(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_514]) ).
cnf(c_0_751,plain,
lhs_atom84(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_515]) ).
cnf(c_0_752,plain,
lhs_atom78(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_516]) ).
cnf(c_0_753,plain,
lhs_atom77(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_754,plain,
lhs_atom75(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_755,plain,
lhs_atom71(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_519]) ).
cnf(c_0_756,plain,
lhs_atom69(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_520]) ).
cnf(c_0_757,plain,
lhs_atom67(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_758,plain,
lhs_atom60(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_522]) ).
cnf(c_0_759,plain,
lhs_atom52(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_760,plain,
lhs_atom39(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_761,plain,
lhs_atom34(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_525]) ).
cnf(c_0_762,plain,
lhs_atom30(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_526]) ).
cnf(c_0_763,plain,
lhs_atom26(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_527]) ).
cnf(c_0_764,plain,
lhs_atom21(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_528]) ).
cnf(c_0_765,plain,
lhs_atom16(X1,X2,X3,X4,X5,X6,X7),
inference(split_conjunct,[status(thm)],[c_0_529]) ).
cnf(c_0_766,plain,
lhs_atom223(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_530]) ).
cnf(c_0_767,plain,
lhs_atom219(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_531]) ).
cnf(c_0_768,plain,
lhs_atom216(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_532]) ).
cnf(c_0_769,plain,
lhs_atom214(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_533]) ).
cnf(c_0_770,plain,
lhs_atom208(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_534]) ).
cnf(c_0_771,plain,
lhs_atom200(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_535]) ).
cnf(c_0_772,plain,
lhs_atom189(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_773,plain,
lhs_atom188(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_537]) ).
cnf(c_0_774,plain,
lhs_atom184(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_775,plain,
lhs_atom175(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_539]) ).
cnf(c_0_776,plain,
lhs_atom173(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_777,plain,
lhs_atom172(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_778,plain,
lhs_atom166(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_542]) ).
cnf(c_0_779,plain,
lhs_atom164(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_543]) ).
cnf(c_0_780,plain,
lhs_atom162(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_544]) ).
cnf(c_0_781,plain,
lhs_atom153(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_782,plain,
lhs_atom152(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_546]) ).
cnf(c_0_783,plain,
lhs_atom150(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_547]) ).
cnf(c_0_784,plain,
lhs_atom140(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_548]) ).
cnf(c_0_785,plain,
lhs_atom133(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_549]) ).
cnf(c_0_786,plain,
lhs_atom132(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_550]) ).
cnf(c_0_787,plain,
lhs_atom129(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_551]) ).
cnf(c_0_788,plain,
lhs_atom123(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_552]) ).
cnf(c_0_789,plain,
lhs_atom118(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_553]) ).
cnf(c_0_790,plain,
lhs_atom116(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_554]) ).
cnf(c_0_791,plain,
lhs_atom114(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_555]) ).
cnf(c_0_792,plain,
lhs_atom110(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_556]) ).
cnf(c_0_793,plain,
lhs_atom100(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_557]) ).
cnf(c_0_794,plain,
lhs_atom97(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_558]) ).
cnf(c_0_795,plain,
lhs_atom94(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_559]) ).
cnf(c_0_796,plain,
lhs_atom92(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_560]) ).
cnf(c_0_797,plain,
lhs_atom91(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_798,plain,
lhs_atom88(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_562]) ).
cnf(c_0_799,plain,
lhs_atom87(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_800,plain,
lhs_atom82(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_801,plain,
lhs_atom79(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_802,plain,
lhs_atom74(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_566]) ).
cnf(c_0_803,plain,
lhs_atom73(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_804,plain,
lhs_atom68(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_568]) ).
cnf(c_0_805,plain,
lhs_atom64(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_569]) ).
cnf(c_0_806,plain,
lhs_atom59(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_570]) ).
cnf(c_0_807,plain,
lhs_atom58(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_571]) ).
cnf(c_0_808,plain,
lhs_atom56(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_572]) ).
cnf(c_0_809,plain,
lhs_atom55(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_573]) ).
cnf(c_0_810,plain,
lhs_atom54(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_811,plain,
lhs_atom53(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_812,plain,
lhs_atom51(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_576]) ).
cnf(c_0_813,plain,
lhs_atom42(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_577]) ).
cnf(c_0_814,plain,
lhs_atom36(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_815,plain,
lhs_atom35(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_579]) ).
cnf(c_0_816,plain,
lhs_atom29(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_580]) ).
cnf(c_0_817,plain,
lhs_atom28(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_581]) ).
cnf(c_0_818,plain,
lhs_atom25(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_819,plain,
lhs_atom24(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_583]) ).
cnf(c_0_820,plain,
lhs_atom22(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_821,plain,
lhs_atom20(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_822,plain,
lhs_atom10(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_586]) ).
cnf(c_0_823,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_587]) ).
cnf(c_0_824,plain,
lhs_atom213(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_588]) ).
cnf(c_0_825,plain,
lhs_atom210(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_589]) ).
cnf(c_0_826,plain,
lhs_atom196(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_590]) ).
cnf(c_0_827,plain,
lhs_atom191(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_591]) ).
cnf(c_0_828,plain,
lhs_atom182(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_592]) ).
cnf(c_0_829,plain,
lhs_atom176(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_593]) ).
cnf(c_0_830,plain,
lhs_atom160(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_594]) ).
cnf(c_0_831,plain,
lhs_atom154(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_595]) ).
cnf(c_0_832,plain,
lhs_atom142(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_833,plain,
lhs_atom141(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_597]) ).
cnf(c_0_834,plain,
lhs_atom139(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_598]) ).
cnf(c_0_835,plain,
lhs_atom137(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_599]) ).
cnf(c_0_836,plain,
lhs_atom134(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_600]) ).
cnf(c_0_837,plain,
lhs_atom131(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_838,plain,
lhs_atom126(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_839,plain,
lhs_atom125(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_603]) ).
cnf(c_0_840,plain,
lhs_atom122(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_604]) ).
cnf(c_0_841,plain,
lhs_atom115(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_605]) ).
cnf(c_0_842,plain,
lhs_atom112(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_606]) ).
cnf(c_0_843,plain,
lhs_atom111(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_844,plain,
lhs_atom108(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_608]) ).
cnf(c_0_845,plain,
lhs_atom107(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_609]) ).
cnf(c_0_846,plain,
lhs_atom104(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_610]) ).
cnf(c_0_847,plain,
lhs_atom103(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_848,plain,
lhs_atom99(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_612]) ).
cnf(c_0_849,plain,
lhs_atom96(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_613]) ).
cnf(c_0_850,plain,
lhs_atom95(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_614]) ).
cnf(c_0_851,plain,
lhs_atom81(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_615]) ).
cnf(c_0_852,plain,
lhs_atom80(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_616]) ).
cnf(c_0_853,plain,
lhs_atom76(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_617]) ).
cnf(c_0_854,plain,
lhs_atom72(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_618]) ).
cnf(c_0_855,plain,
lhs_atom66(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_619]) ).
cnf(c_0_856,plain,
lhs_atom65(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_620]) ).
cnf(c_0_857,plain,
lhs_atom57(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_621]) ).
cnf(c_0_858,plain,
lhs_atom49(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_622]) ).
cnf(c_0_859,plain,
lhs_atom46(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_623]) ).
cnf(c_0_860,plain,
lhs_atom45(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_624]) ).
cnf(c_0_861,plain,
lhs_atom43(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_625]) ).
cnf(c_0_862,plain,
lhs_atom40(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_626]) ).
cnf(c_0_863,plain,
lhs_atom33(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_627]) ).
cnf(c_0_864,plain,
lhs_atom19(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_628]) ).
cnf(c_0_865,plain,
lhs_atom17(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_629]) ).
cnf(c_0_866,plain,
lhs_atom14(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_630]) ).
cnf(c_0_867,plain,
lhs_atom12(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_631]) ).
cnf(c_0_868,plain,
lhs_atom11(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_869,plain,
lhs_atom8(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_870,plain,
lhs_atom6(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_871,plain,
lhs_atom225(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_872,plain,
lhs_atom217(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_873,plain,
lhs_atom204(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_874,plain,
lhs_atom190(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_875,plain,
lhs_atom170(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_639]) ).
cnf(c_0_876,plain,
lhs_atom161(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_640]) ).
cnf(c_0_877,plain,
lhs_atom149(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_641]) ).
cnf(c_0_878,plain,
lhs_atom138(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_642]) ).
cnf(c_0_879,plain,
lhs_atom136(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_880,plain,
lhs_atom128(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_881,plain,
lhs_atom127(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_882,plain,
lhs_atom124(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_883,plain,
lhs_atom106(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_647]) ).
cnf(c_0_884,plain,
lhs_atom105(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_885,plain,
lhs_atom98(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_886,plain,
lhs_atom90(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_887,plain,
lhs_atom85(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_651]) ).
cnf(c_0_888,plain,
lhs_atom70(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_889,plain,
lhs_atom63(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_890,plain,
lhs_atom61(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_654]) ).
cnf(c_0_891,plain,
lhs_atom48(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_655]) ).
cnf(c_0_892,plain,
lhs_atom47(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_893,plain,
lhs_atom38(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_894,plain,
lhs_atom37(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_658]) ).
cnf(c_0_895,plain,
lhs_atom32(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_659]) ).
cnf(c_0_896,plain,
lhs_atom23(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_897,plain,
lhs_atom18(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_898,plain,
lhs_atom15(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_899,plain,
lhs_atom13(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_900,plain,
lhs_atom9(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_901,plain,
lhs_atom3(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_902,plain,
lhs_atom233(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_903,plain,
lhs_atom231(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_904,plain,
lhs_atom226(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_905,plain,
lhs_atom215(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_906,plain,
lhs_atom207(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_907,plain,
lhs_atom198(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_908,plain,
lhs_atom197(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_909,plain,
lhs_atom167(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_910,plain,
lhs_atom147(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_674]) ).
cnf(c_0_911,plain,
lhs_atom146(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_675]) ).
cnf(c_0_912,plain,
lhs_atom143(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_676]) ).
cnf(c_0_913,plain,
lhs_atom135(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_677]) ).
cnf(c_0_914,plain,
lhs_atom130(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_678]) ).
cnf(c_0_915,plain,
lhs_atom119(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_679]) ).
cnf(c_0_916,plain,
lhs_atom62(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_680]) ).
cnf(c_0_917,plain,
lhs_atom41(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_681]) ).
cnf(c_0_918,plain,
lhs_atom236(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_682]) ).
cnf(c_0_919,plain,
lhs_atom224(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_920,plain,
lhs_atom212(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_684]) ).
cnf(c_0_921,plain,
lhs_atom148(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_922,plain,
lhs_atom206(X1),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_923,plain,
lhs_atom192(X1),
inference(split_conjunct,[status(thm)],[c_0_687]) ).
cnf(c_0_924,plain,
lhs_atom185(X1),
inference(split_conjunct,[status(thm)],[c_0_688]) ).
cnf(c_0_925,plain,
lhs_atom159(X1),
inference(split_conjunct,[status(thm)],[c_0_689]) ).
cnf(c_0_926,plain,
lhs_atom157(X1),
inference(split_conjunct,[status(thm)],[c_0_690]) ).
cnf(c_0_927,plain,
lhs_atom5(X1),
inference(split_conjunct,[status(thm)],[c_0_691]) ).
cnf(c_0_928,plain,
lhs_atom4(X1),
inference(split_conjunct,[status(thm)],[c_0_692]) ).
cnf(c_0_929,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_693]) ).
cnf(c_0_930,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_694]) ).
cnf(c_0_931,plain,
lhs_atom235,
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_932,plain,
lhs_atom234,
inference(split_conjunct,[status(thm)],[c_0_696]) ).
cnf(c_0_933,plain,
lhs_atom232,
inference(split_conjunct,[status(thm)],[c_0_697]) ).
cnf(c_0_934,plain,
lhs_atom230,
inference(split_conjunct,[status(thm)],[c_0_698]) ).
cnf(c_0_935,plain,
lhs_atom229,
inference(split_conjunct,[status(thm)],[c_0_699]) ).
cnf(c_0_936,plain,
lhs_atom222,
inference(split_conjunct,[status(thm)],[c_0_700]) ).
cnf(c_0_937,plain,
lhs_atom221,
inference(split_conjunct,[status(thm)],[c_0_701]) ).
cnf(c_0_938,plain,
lhs_atom218,
inference(split_conjunct,[status(thm)],[c_0_702]) ).
cnf(c_0_939,plain,
lhs_atom211,
inference(split_conjunct,[status(thm)],[c_0_703]) ).
cnf(c_0_940,plain,
lhs_atom205,
inference(split_conjunct,[status(thm)],[c_0_704]) ).
cnf(c_0_941,plain,
lhs_atom203,
inference(split_conjunct,[status(thm)],[c_0_705]) ).
cnf(c_0_942,plain,
lhs_atom145,
inference(split_conjunct,[status(thm)],[c_0_706]) ).
cnf(c_0_943,plain,
lhs_atom144,
inference(split_conjunct,[status(thm)],[c_0_707]) ).
cnf(c_0_944,plain,
lhs_atom181(X1,X2,X3,X4,X5,X6,X7,X8,X9),
c_0_708,
[final] ).
cnf(c_0_945,plain,
lhs_atom177(X1,X2,X3,X4,X5,X6,X7,X8,X9),
c_0_709,
[final] ).
cnf(c_0_946,plain,
lhs_atom220(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_710,
[final] ).
cnf(c_0_947,plain,
lhs_atom209(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_711,
[final] ).
cnf(c_0_948,plain,
lhs_atom201(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_712,
[final] ).
cnf(c_0_949,plain,
lhs_atom195(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_713,
[final] ).
cnf(c_0_950,plain,
lhs_atom194(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_714,
[final] ).
cnf(c_0_951,plain,
lhs_atom186(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_715,
[final] ).
cnf(c_0_952,plain,
lhs_atom183(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_716,
[final] ).
cnf(c_0_953,plain,
lhs_atom174(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_717,
[final] ).
cnf(c_0_954,plain,
lhs_atom171(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_718,
[final] ).
cnf(c_0_955,plain,
lhs_atom168(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_719,
[final] ).
cnf(c_0_956,plain,
lhs_atom165(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_720,
[final] ).
cnf(c_0_957,plain,
lhs_atom158(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_721,
[final] ).
cnf(c_0_958,plain,
lhs_atom113(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_722,
[final] ).
cnf(c_0_959,plain,
lhs_atom109(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_723,
[final] ).
cnf(c_0_960,plain,
lhs_atom93(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_724,
[final] ).
cnf(c_0_961,plain,
lhs_atom83(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_725,
[final] ).
cnf(c_0_962,plain,
lhs_atom50(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_726,
[final] ).
cnf(c_0_963,plain,
lhs_atom44(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_727,
[final] ).
cnf(c_0_964,plain,
lhs_atom31(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_728,
[final] ).
cnf(c_0_965,plain,
lhs_atom27(X1,X2,X3,X4,X5,X6,X7,X8),
c_0_729,
[final] ).
cnf(c_0_966,plain,
lhs_atom228(X1,X2,X3,X4,X5,X6,X7),
c_0_730,
[final] ).
cnf(c_0_967,plain,
lhs_atom227(X1,X2,X3,X4,X5,X6,X7),
c_0_731,
[final] ).
cnf(c_0_968,plain,
lhs_atom202(X1,X2,X3,X4,X5,X6,X7),
c_0_732,
[final] ).
cnf(c_0_969,plain,
lhs_atom199(X1,X2,X3,X4,X5,X6,X7),
c_0_733,
[final] ).
cnf(c_0_970,plain,
lhs_atom193(X1,X2,X3,X4,X5,X6,X7),
c_0_734,
[final] ).
cnf(c_0_971,plain,
lhs_atom187(X1,X2,X3,X4,X5,X6,X7),
c_0_735,
[final] ).
cnf(c_0_972,plain,
lhs_atom180(X1,X2,X3,X4,X5,X6,X7),
c_0_736,
[final] ).
cnf(c_0_973,plain,
lhs_atom179(X1,X2,X3,X4,X5,X6,X7),
c_0_737,
[final] ).
cnf(c_0_974,plain,
lhs_atom178(X1,X2,X3,X4,X5,X6,X7),
c_0_738,
[final] ).
cnf(c_0_975,plain,
lhs_atom169(X1,X2,X3,X4,X5,X6,X7),
c_0_739,
[final] ).
cnf(c_0_976,plain,
lhs_atom163(X1,X2,X3,X4,X5,X6,X7),
c_0_740,
[final] ).
cnf(c_0_977,plain,
lhs_atom156(X1,X2,X3,X4,X5,X6,X7),
c_0_741,
[final] ).
cnf(c_0_978,plain,
lhs_atom155(X1,X2,X3,X4,X5,X6,X7),
c_0_742,
[final] ).
cnf(c_0_979,plain,
lhs_atom151(X1,X2,X3,X4,X5,X6,X7),
c_0_743,
[final] ).
cnf(c_0_980,plain,
lhs_atom121(X1,X2,X3,X4,X5,X6,X7),
c_0_744,
[final] ).
cnf(c_0_981,plain,
lhs_atom120(X1,X2,X3,X4,X5,X6,X7),
c_0_745,
[final] ).
cnf(c_0_982,plain,
lhs_atom117(X1,X2,X3,X4,X5,X6,X7),
c_0_746,
[final] ).
cnf(c_0_983,plain,
lhs_atom102(X1,X2,X3,X4,X5,X6,X7),
c_0_747,
[final] ).
cnf(c_0_984,plain,
lhs_atom101(X1,X2,X3,X4,X5,X6,X7),
c_0_748,
[final] ).
cnf(c_0_985,plain,
lhs_atom89(X1,X2,X3,X4,X5,X6,X7),
c_0_749,
[final] ).
cnf(c_0_986,plain,
lhs_atom86(X1,X2,X3,X4,X5,X6,X7),
c_0_750,
[final] ).
cnf(c_0_987,plain,
lhs_atom84(X1,X2,X3,X4,X5,X6,X7),
c_0_751,
[final] ).
cnf(c_0_988,plain,
lhs_atom78(X1,X2,X3,X4,X5,X6,X7),
c_0_752,
[final] ).
cnf(c_0_989,plain,
lhs_atom77(X1,X2,X3,X4,X5,X6,X7),
c_0_753,
[final] ).
cnf(c_0_990,plain,
lhs_atom75(X1,X2,X3,X4,X5,X6,X7),
c_0_754,
[final] ).
cnf(c_0_991,plain,
lhs_atom71(X1,X2,X3,X4,X5,X6,X7),
c_0_755,
[final] ).
cnf(c_0_992,plain,
lhs_atom69(X1,X2,X3,X4,X5,X6,X7),
c_0_756,
[final] ).
cnf(c_0_993,plain,
lhs_atom67(X1,X2,X3,X4,X5,X6,X7),
c_0_757,
[final] ).
cnf(c_0_994,plain,
lhs_atom60(X1,X2,X3,X4,X5,X6,X7),
c_0_758,
[final] ).
cnf(c_0_995,plain,
lhs_atom52(X1,X2,X3,X4,X5,X6,X7),
c_0_759,
[final] ).
cnf(c_0_996,plain,
lhs_atom39(X1,X2,X3,X4,X5,X6,X7),
c_0_760,
[final] ).
cnf(c_0_997,plain,
lhs_atom34(X1,X2,X3,X4,X5,X6,X7),
c_0_761,
[final] ).
cnf(c_0_998,plain,
lhs_atom30(X1,X2,X3,X4,X5,X6,X7),
c_0_762,
[final] ).
cnf(c_0_999,plain,
lhs_atom26(X1,X2,X3,X4,X5,X6,X7),
c_0_763,
[final] ).
cnf(c_0_1000,plain,
lhs_atom21(X1,X2,X3,X4,X5,X6,X7),
c_0_764,
[final] ).
cnf(c_0_1001,plain,
lhs_atom16(X1,X2,X3,X4,X5,X6,X7),
c_0_765,
[final] ).
cnf(c_0_1002,plain,
lhs_atom223(X1,X2,X3,X4,X5,X6),
c_0_766,
[final] ).
cnf(c_0_1003,plain,
lhs_atom219(X1,X2,X3,X4,X5,X6),
c_0_767,
[final] ).
cnf(c_0_1004,plain,
lhs_atom216(X1,X2,X3,X4,X5,X6),
c_0_768,
[final] ).
cnf(c_0_1005,plain,
lhs_atom214(X1,X2,X3,X4,X5,X6),
c_0_769,
[final] ).
cnf(c_0_1006,plain,
lhs_atom208(X1,X2,X3,X4,X5,X6),
c_0_770,
[final] ).
cnf(c_0_1007,plain,
lhs_atom200(X1,X2,X3,X4,X5,X6),
c_0_771,
[final] ).
cnf(c_0_1008,plain,
lhs_atom189(X1,X2,X3,X4,X5,X6),
c_0_772,
[final] ).
cnf(c_0_1009,plain,
lhs_atom188(X1,X2,X3,X4,X5,X6),
c_0_773,
[final] ).
cnf(c_0_1010,plain,
lhs_atom184(X1,X2,X3,X4,X5,X6),
c_0_774,
[final] ).
cnf(c_0_1011,plain,
lhs_atom175(X1,X2,X3,X4,X5,X6),
c_0_775,
[final] ).
cnf(c_0_1012,plain,
lhs_atom173(X1,X2,X3,X4,X5,X6),
c_0_776,
[final] ).
cnf(c_0_1013,plain,
lhs_atom172(X1,X2,X3,X4,X5,X6),
c_0_777,
[final] ).
cnf(c_0_1014,plain,
lhs_atom166(X1,X2,X3,X4,X5,X6),
c_0_778,
[final] ).
cnf(c_0_1015,plain,
lhs_atom164(X1,X2,X3,X4,X5,X6),
c_0_779,
[final] ).
cnf(c_0_1016,plain,
lhs_atom162(X1,X2,X3,X4,X5,X6),
c_0_780,
[final] ).
cnf(c_0_1017,plain,
lhs_atom153(X1,X2,X3,X4,X5,X6),
c_0_781,
[final] ).
cnf(c_0_1018,plain,
lhs_atom152(X1,X2,X3,X4,X5,X6),
c_0_782,
[final] ).
cnf(c_0_1019,plain,
lhs_atom150(X1,X2,X3,X4,X5,X6),
c_0_783,
[final] ).
cnf(c_0_1020,plain,
lhs_atom140(X1,X2,X3,X4,X5,X6),
c_0_784,
[final] ).
cnf(c_0_1021,plain,
lhs_atom133(X1,X2,X3,X4,X5,X6),
c_0_785,
[final] ).
cnf(c_0_1022,plain,
lhs_atom132(X1,X2,X3,X4,X5,X6),
c_0_786,
[final] ).
cnf(c_0_1023,plain,
lhs_atom129(X1,X2,X3,X4,X5,X6),
c_0_787,
[final] ).
cnf(c_0_1024,plain,
lhs_atom123(X1,X2,X3,X4,X5,X6),
c_0_788,
[final] ).
cnf(c_0_1025,plain,
lhs_atom118(X1,X2,X3,X4,X5,X6),
c_0_789,
[final] ).
cnf(c_0_1026,plain,
lhs_atom116(X1,X2,X3,X4,X5,X6),
c_0_790,
[final] ).
cnf(c_0_1027,plain,
lhs_atom114(X1,X2,X3,X4,X5,X6),
c_0_791,
[final] ).
cnf(c_0_1028,plain,
lhs_atom110(X1,X2,X3,X4,X5,X6),
c_0_792,
[final] ).
cnf(c_0_1029,plain,
lhs_atom100(X1,X2,X3,X4,X5,X6),
c_0_793,
[final] ).
cnf(c_0_1030,plain,
lhs_atom97(X1,X2,X3,X4,X5,X6),
c_0_794,
[final] ).
cnf(c_0_1031,plain,
lhs_atom94(X1,X2,X3,X4,X5,X6),
c_0_795,
[final] ).
cnf(c_0_1032,plain,
lhs_atom92(X1,X2,X3,X4,X5,X6),
c_0_796,
[final] ).
cnf(c_0_1033,plain,
lhs_atom91(X1,X2,X3,X4,X5,X6),
c_0_797,
[final] ).
cnf(c_0_1034,plain,
lhs_atom88(X1,X2,X3,X4,X5,X6),
c_0_798,
[final] ).
cnf(c_0_1035,plain,
lhs_atom87(X1,X2,X3,X4,X5,X6),
c_0_799,
[final] ).
cnf(c_0_1036,plain,
lhs_atom82(X1,X2,X3,X4,X5,X6),
c_0_800,
[final] ).
cnf(c_0_1037,plain,
lhs_atom79(X1,X2,X3,X4,X5,X6),
c_0_801,
[final] ).
cnf(c_0_1038,plain,
lhs_atom74(X1,X2,X3,X4,X5,X6),
c_0_802,
[final] ).
cnf(c_0_1039,plain,
lhs_atom73(X1,X2,X3,X4,X5,X6),
c_0_803,
[final] ).
cnf(c_0_1040,plain,
lhs_atom68(X1,X2,X3,X4,X5,X6),
c_0_804,
[final] ).
cnf(c_0_1041,plain,
lhs_atom64(X1,X2,X3,X4,X5,X6),
c_0_805,
[final] ).
cnf(c_0_1042,plain,
lhs_atom59(X1,X2,X3,X4,X5,X6),
c_0_806,
[final] ).
cnf(c_0_1043,plain,
lhs_atom58(X1,X2,X3,X4,X5,X6),
c_0_807,
[final] ).
cnf(c_0_1044,plain,
lhs_atom56(X1,X2,X3,X4,X5,X6),
c_0_808,
[final] ).
cnf(c_0_1045,plain,
lhs_atom55(X1,X2,X3,X4,X5,X6),
c_0_809,
[final] ).
cnf(c_0_1046,plain,
lhs_atom54(X1,X2,X3,X4,X5,X6),
c_0_810,
[final] ).
cnf(c_0_1047,plain,
lhs_atom53(X1,X2,X3,X4,X5,X6),
c_0_811,
[final] ).
cnf(c_0_1048,plain,
lhs_atom51(X1,X2,X3,X4,X5,X6),
c_0_812,
[final] ).
cnf(c_0_1049,plain,
lhs_atom42(X1,X2,X3,X4,X5,X6),
c_0_813,
[final] ).
cnf(c_0_1050,plain,
lhs_atom36(X1,X2,X3,X4,X5,X6),
c_0_814,
[final] ).
cnf(c_0_1051,plain,
lhs_atom35(X1,X2,X3,X4,X5,X6),
c_0_815,
[final] ).
cnf(c_0_1052,plain,
lhs_atom29(X1,X2,X3,X4,X5,X6),
c_0_816,
[final] ).
cnf(c_0_1053,plain,
lhs_atom28(X1,X2,X3,X4,X5,X6),
c_0_817,
[final] ).
cnf(c_0_1054,plain,
lhs_atom25(X1,X2,X3,X4,X5,X6),
c_0_818,
[final] ).
cnf(c_0_1055,plain,
lhs_atom24(X1,X2,X3,X4,X5,X6),
c_0_819,
[final] ).
cnf(c_0_1056,plain,
lhs_atom22(X1,X2,X3,X4,X5,X6),
c_0_820,
[final] ).
cnf(c_0_1057,plain,
lhs_atom20(X1,X2,X3,X4,X5,X6),
c_0_821,
[final] ).
cnf(c_0_1058,plain,
lhs_atom10(X1,X2,X3,X4,X5,X6),
c_0_822,
[final] ).
cnf(c_0_1059,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
c_0_823,
[final] ).
cnf(c_0_1060,plain,
lhs_atom213(X1,X2,X3,X4,X5),
c_0_824,
[final] ).
cnf(c_0_1061,plain,
lhs_atom210(X1,X2,X3,X4,X5),
c_0_825,
[final] ).
cnf(c_0_1062,plain,
lhs_atom196(X1,X2,X3,X4,X5),
c_0_826,
[final] ).
cnf(c_0_1063,plain,
lhs_atom191(X1,X2,X3,X4,X5),
c_0_827,
[final] ).
cnf(c_0_1064,plain,
lhs_atom182(X1,X2,X3,X4,X5),
c_0_828,
[final] ).
cnf(c_0_1065,plain,
lhs_atom176(X1,X2,X3,X4,X5),
c_0_829,
[final] ).
cnf(c_0_1066,plain,
lhs_atom160(X1,X2,X3,X4,X5),
c_0_830,
[final] ).
cnf(c_0_1067,plain,
lhs_atom154(X1,X2,X3,X4,X5),
c_0_831,
[final] ).
cnf(c_0_1068,plain,
lhs_atom142(X1,X2,X3,X4,X5),
c_0_832,
[final] ).
cnf(c_0_1069,plain,
lhs_atom141(X1,X2,X3,X4,X5),
c_0_833,
[final] ).
cnf(c_0_1070,plain,
lhs_atom139(X1,X2,X3,X4,X5),
c_0_834,
[final] ).
cnf(c_0_1071,plain,
lhs_atom137(X1,X2,X3,X4,X5),
c_0_835,
[final] ).
cnf(c_0_1072,plain,
lhs_atom134(X1,X2,X3,X4,X5),
c_0_836,
[final] ).
cnf(c_0_1073,plain,
lhs_atom131(X1,X2,X3,X4,X5),
c_0_837,
[final] ).
cnf(c_0_1074,plain,
lhs_atom126(X1,X2,X3,X4,X5),
c_0_838,
[final] ).
cnf(c_0_1075,plain,
lhs_atom125(X1,X2,X3,X4,X5),
c_0_839,
[final] ).
cnf(c_0_1076,plain,
lhs_atom122(X1,X2,X3,X4,X5),
c_0_840,
[final] ).
cnf(c_0_1077,plain,
lhs_atom115(X1,X2,X3,X4,X5),
c_0_841,
[final] ).
cnf(c_0_1078,plain,
lhs_atom112(X1,X2,X3,X4,X5),
c_0_842,
[final] ).
cnf(c_0_1079,plain,
lhs_atom111(X1,X2,X3,X4,X5),
c_0_843,
[final] ).
cnf(c_0_1080,plain,
lhs_atom108(X1,X2,X3,X4,X5),
c_0_844,
[final] ).
cnf(c_0_1081,plain,
lhs_atom107(X1,X2,X3,X4,X5),
c_0_845,
[final] ).
cnf(c_0_1082,plain,
lhs_atom104(X1,X2,X3,X4,X5),
c_0_846,
[final] ).
cnf(c_0_1083,plain,
lhs_atom103(X1,X2,X3,X4,X5),
c_0_847,
[final] ).
cnf(c_0_1084,plain,
lhs_atom99(X1,X2,X3,X4,X5),
c_0_848,
[final] ).
cnf(c_0_1085,plain,
lhs_atom96(X1,X2,X3,X4,X5),
c_0_849,
[final] ).
cnf(c_0_1086,plain,
lhs_atom95(X1,X2,X3,X4,X5),
c_0_850,
[final] ).
cnf(c_0_1087,plain,
lhs_atom81(X1,X2,X3,X4,X5),
c_0_851,
[final] ).
cnf(c_0_1088,plain,
lhs_atom80(X1,X2,X3,X4,X5),
c_0_852,
[final] ).
cnf(c_0_1089,plain,
lhs_atom76(X1,X2,X3,X4,X5),
c_0_853,
[final] ).
cnf(c_0_1090,plain,
lhs_atom72(X1,X2,X3,X4,X5),
c_0_854,
[final] ).
cnf(c_0_1091,plain,
lhs_atom66(X1,X2,X3,X4,X5),
c_0_855,
[final] ).
cnf(c_0_1092,plain,
lhs_atom65(X1,X2,X3,X4,X5),
c_0_856,
[final] ).
cnf(c_0_1093,plain,
lhs_atom57(X1,X2,X3,X4,X5),
c_0_857,
[final] ).
cnf(c_0_1094,plain,
lhs_atom49(X1,X2,X3,X4,X5),
c_0_858,
[final] ).
cnf(c_0_1095,plain,
lhs_atom46(X1,X2,X3,X4,X5),
c_0_859,
[final] ).
cnf(c_0_1096,plain,
lhs_atom45(X1,X2,X3,X4,X5),
c_0_860,
[final] ).
cnf(c_0_1097,plain,
lhs_atom43(X1,X2,X3,X4,X5),
c_0_861,
[final] ).
cnf(c_0_1098,plain,
lhs_atom40(X1,X2,X3,X4,X5),
c_0_862,
[final] ).
cnf(c_0_1099,plain,
lhs_atom33(X1,X2,X3,X4,X5),
c_0_863,
[final] ).
cnf(c_0_1100,plain,
lhs_atom19(X1,X2,X3,X4,X5),
c_0_864,
[final] ).
cnf(c_0_1101,plain,
lhs_atom17(X1,X2,X3,X4,X5),
c_0_865,
[final] ).
cnf(c_0_1102,plain,
lhs_atom14(X1,X2,X3,X4,X5),
c_0_866,
[final] ).
cnf(c_0_1103,plain,
lhs_atom12(X1,X2,X3,X4,X5),
c_0_867,
[final] ).
cnf(c_0_1104,plain,
lhs_atom11(X1,X2,X3,X4,X5),
c_0_868,
[final] ).
cnf(c_0_1105,plain,
lhs_atom8(X1,X2,X3,X4,X5),
c_0_869,
[final] ).
cnf(c_0_1106,plain,
lhs_atom6(X1,X2,X3,X4,X5),
c_0_870,
[final] ).
cnf(c_0_1107,plain,
lhs_atom225(X1,X2,X3,X4),
c_0_871,
[final] ).
cnf(c_0_1108,plain,
lhs_atom217(X1,X2,X3,X4),
c_0_872,
[final] ).
cnf(c_0_1109,plain,
lhs_atom204(X1,X2,X3,X4),
c_0_873,
[final] ).
cnf(c_0_1110,plain,
lhs_atom190(X1,X2,X3,X4),
c_0_874,
[final] ).
cnf(c_0_1111,plain,
lhs_atom170(X1,X2,X3,X4),
c_0_875,
[final] ).
cnf(c_0_1112,plain,
lhs_atom161(X1,X2,X3,X4),
c_0_876,
[final] ).
cnf(c_0_1113,plain,
lhs_atom149(X1,X2,X3,X4),
c_0_877,
[final] ).
cnf(c_0_1114,plain,
lhs_atom138(X1,X2,X3,X4),
c_0_878,
[final] ).
cnf(c_0_1115,plain,
lhs_atom136(X1,X2,X3,X4),
c_0_879,
[final] ).
cnf(c_0_1116,plain,
lhs_atom128(X1,X2,X3,X4),
c_0_880,
[final] ).
cnf(c_0_1117,plain,
lhs_atom127(X1,X2,X3,X4),
c_0_881,
[final] ).
cnf(c_0_1118,plain,
lhs_atom124(X1,X2,X3,X4),
c_0_882,
[final] ).
cnf(c_0_1119,plain,
lhs_atom106(X1,X2,X3,X4),
c_0_883,
[final] ).
cnf(c_0_1120,plain,
lhs_atom105(X1,X2,X3,X4),
c_0_884,
[final] ).
cnf(c_0_1121,plain,
lhs_atom98(X1,X2,X3,X4),
c_0_885,
[final] ).
cnf(c_0_1122,plain,
lhs_atom90(X1,X2,X3,X4),
c_0_886,
[final] ).
cnf(c_0_1123,plain,
lhs_atom85(X1,X2,X3,X4),
c_0_887,
[final] ).
cnf(c_0_1124,plain,
lhs_atom70(X1,X2,X3,X4),
c_0_888,
[final] ).
cnf(c_0_1125,plain,
lhs_atom63(X1,X2,X3,X4),
c_0_889,
[final] ).
cnf(c_0_1126,plain,
lhs_atom61(X1,X2,X3,X4),
c_0_890,
[final] ).
cnf(c_0_1127,plain,
lhs_atom48(X1,X2,X3,X4),
c_0_891,
[final] ).
cnf(c_0_1128,plain,
lhs_atom47(X1,X2,X3,X4),
c_0_892,
[final] ).
cnf(c_0_1129,plain,
lhs_atom38(X1,X2,X3,X4),
c_0_893,
[final] ).
cnf(c_0_1130,plain,
lhs_atom37(X1,X2,X3,X4),
c_0_894,
[final] ).
cnf(c_0_1131,plain,
lhs_atom32(X1,X2,X3,X4),
c_0_895,
[final] ).
cnf(c_0_1132,plain,
lhs_atom23(X1,X2,X3,X4),
c_0_896,
[final] ).
cnf(c_0_1133,plain,
lhs_atom18(X1,X2,X3,X4),
c_0_897,
[final] ).
cnf(c_0_1134,plain,
lhs_atom15(X1,X2,X3,X4),
c_0_898,
[final] ).
cnf(c_0_1135,plain,
lhs_atom13(X1,X2,X3,X4),
c_0_899,
[final] ).
cnf(c_0_1136,plain,
lhs_atom9(X1,X2,X3,X4),
c_0_900,
[final] ).
cnf(c_0_1137,plain,
lhs_atom3(X1,X2,X3,X4),
c_0_901,
[final] ).
cnf(c_0_1138,plain,
lhs_atom233(X1,X2,X3),
c_0_902,
[final] ).
cnf(c_0_1139,plain,
lhs_atom231(X1,X2,X3),
c_0_903,
[final] ).
cnf(c_0_1140,plain,
lhs_atom226(X1,X2,X3),
c_0_904,
[final] ).
cnf(c_0_1141,plain,
lhs_atom215(X1,X2,X3),
c_0_905,
[final] ).
cnf(c_0_1142,plain,
lhs_atom207(X1,X2,X3),
c_0_906,
[final] ).
cnf(c_0_1143,plain,
lhs_atom198(X1,X2,X3),
c_0_907,
[final] ).
cnf(c_0_1144,plain,
lhs_atom197(X1,X2,X3),
c_0_908,
[final] ).
cnf(c_0_1145,plain,
lhs_atom167(X1,X2,X3),
c_0_909,
[final] ).
cnf(c_0_1146,plain,
lhs_atom147(X1,X2,X3),
c_0_910,
[final] ).
cnf(c_0_1147,plain,
lhs_atom146(X1,X2,X3),
c_0_911,
[final] ).
cnf(c_0_1148,plain,
lhs_atom143(X1,X2,X3),
c_0_912,
[final] ).
cnf(c_0_1149,plain,
lhs_atom135(X1,X2,X3),
c_0_913,
[final] ).
cnf(c_0_1150,plain,
lhs_atom130(X1,X2,X3),
c_0_914,
[final] ).
cnf(c_0_1151,plain,
lhs_atom119(X1,X2,X3),
c_0_915,
[final] ).
cnf(c_0_1152,plain,
lhs_atom62(X1,X2,X3),
c_0_916,
[final] ).
cnf(c_0_1153,plain,
lhs_atom41(X1,X2,X3),
c_0_917,
[final] ).
cnf(c_0_1154,plain,
lhs_atom236(X1,X2),
c_0_918,
[final] ).
cnf(c_0_1155,plain,
lhs_atom224(X1,X2),
c_0_919,
[final] ).
cnf(c_0_1156,plain,
lhs_atom212(X1,X2),
c_0_920,
[final] ).
cnf(c_0_1157,plain,
lhs_atom148(X1,X2),
c_0_921,
[final] ).
cnf(c_0_1158,plain,
lhs_atom206(X1),
c_0_922,
[final] ).
cnf(c_0_1159,plain,
lhs_atom192(X1),
c_0_923,
[final] ).
cnf(c_0_1160,plain,
lhs_atom185(X1),
c_0_924,
[final] ).
cnf(c_0_1161,plain,
lhs_atom159(X1),
c_0_925,
[final] ).
cnf(c_0_1162,plain,
lhs_atom157(X1),
c_0_926,
[final] ).
cnf(c_0_1163,plain,
lhs_atom5(X1),
c_0_927,
[final] ).
cnf(c_0_1164,plain,
lhs_atom4(X1),
c_0_928,
[final] ).
cnf(c_0_1165,plain,
lhs_atom2(X1),
c_0_929,
[final] ).
cnf(c_0_1166,plain,
lhs_atom1(X1),
c_0_930,
[final] ).
cnf(c_0_1167,plain,
lhs_atom235,
c_0_931,
[final] ).
cnf(c_0_1168,plain,
lhs_atom234,
c_0_932,
[final] ).
cnf(c_0_1169,plain,
lhs_atom232,
c_0_933,
[final] ).
cnf(c_0_1170,plain,
lhs_atom230,
c_0_934,
[final] ).
cnf(c_0_1171,plain,
lhs_atom229,
c_0_935,
[final] ).
cnf(c_0_1172,plain,
lhs_atom222,
c_0_936,
[final] ).
cnf(c_0_1173,plain,
lhs_atom221,
c_0_937,
[final] ).
cnf(c_0_1174,plain,
lhs_atom218,
c_0_938,
[final] ).
cnf(c_0_1175,plain,
lhs_atom211,
c_0_939,
[final] ).
cnf(c_0_1176,plain,
lhs_atom205,
c_0_940,
[final] ).
cnf(c_0_1177,plain,
lhs_atom203,
c_0_941,
[final] ).
cnf(c_0_1178,plain,
lhs_atom145,
c_0_942,
[final] ).
cnf(c_0_1179,plain,
lhs_atom144,
c_0_943,
[final] ).
% End CNF derivation
cnf(c_0_944_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_944,def_lhs_atom181]) ).
cnf(c_0_945_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_945,def_lhs_atom177]) ).
cnf(c_0_946_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_946,def_lhs_atom220]) ).
cnf(c_0_947_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_947,def_lhs_atom209]) ).
cnf(c_0_948_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_948,def_lhs_atom201]) ).
cnf(c_0_949_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_949,def_lhs_atom195]) ).
cnf(c_0_950_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_950,def_lhs_atom194]) ).
cnf(c_0_951_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_951,def_lhs_atom186]) ).
cnf(c_0_952_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_952,def_lhs_atom183]) ).
cnf(c_0_953_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_953,def_lhs_atom174]) ).
cnf(c_0_954_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_954,def_lhs_atom171]) ).
cnf(c_0_955_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_955,def_lhs_atom168]) ).
cnf(c_0_956_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_956,def_lhs_atom165]) ).
cnf(c_0_957_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_957,def_lhs_atom158]) ).
cnf(c_0_958_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_958,def_lhs_atom113]) ).
cnf(c_0_959_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_959,def_lhs_atom109]) ).
cnf(c_0_960_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_960,def_lhs_atom93]) ).
cnf(c_0_961_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_961,def_lhs_atom83]) ).
cnf(c_0_962_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_962,def_lhs_atom50]) ).
cnf(c_0_963_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_963,def_lhs_atom44]) ).
cnf(c_0_964_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_964,def_lhs_atom31]) ).
cnf(c_0_965_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_965,def_lhs_atom27]) ).
cnf(c_0_966_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_966,def_lhs_atom228]) ).
cnf(c_0_967_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_967,def_lhs_atom227]) ).
cnf(c_0_968_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_968,def_lhs_atom202]) ).
cnf(c_0_969_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_969,def_lhs_atom199]) ).
cnf(c_0_970_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_970,def_lhs_atom193]) ).
cnf(c_0_971_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_971,def_lhs_atom187]) ).
cnf(c_0_972_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_972,def_lhs_atom180]) ).
cnf(c_0_973_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_973,def_lhs_atom179]) ).
cnf(c_0_974_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_974,def_lhs_atom178]) ).
cnf(c_0_975_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_975,def_lhs_atom169]) ).
cnf(c_0_976_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_976,def_lhs_atom163]) ).
cnf(c_0_977_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_977,def_lhs_atom156]) ).
cnf(c_0_978_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_978,def_lhs_atom155]) ).
cnf(c_0_979_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_979,def_lhs_atom151]) ).
cnf(c_0_980_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_980,def_lhs_atom121]) ).
cnf(c_0_981_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_981,def_lhs_atom120]) ).
cnf(c_0_982_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_982,def_lhs_atom117]) ).
cnf(c_0_983_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_983,def_lhs_atom102]) ).
cnf(c_0_984_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_984,def_lhs_atom101]) ).
cnf(c_0_985_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_985,def_lhs_atom89]) ).
cnf(c_0_986_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_986,def_lhs_atom86]) ).
cnf(c_0_987_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_987,def_lhs_atom84]) ).
cnf(c_0_988_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_988,def_lhs_atom78]) ).
cnf(c_0_989_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_989,def_lhs_atom77]) ).
cnf(c_0_990_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_990,def_lhs_atom75]) ).
cnf(c_0_991_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_991,def_lhs_atom71]) ).
cnf(c_0_992_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_992,def_lhs_atom69]) ).
cnf(c_0_993_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_993,def_lhs_atom67]) ).
cnf(c_0_994_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_994,def_lhs_atom60]) ).
cnf(c_0_995_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_995,def_lhs_atom52]) ).
cnf(c_0_996_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_996,def_lhs_atom39]) ).
cnf(c_0_997_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_997,def_lhs_atom34]) ).
cnf(c_0_998_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_998,def_lhs_atom30]) ).
cnf(c_0_999_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_999,def_lhs_atom26]) ).
cnf(c_0_1000_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_1000,def_lhs_atom21]) ).
cnf(c_0_1001_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_1001,def_lhs_atom16]) ).
cnf(c_0_1002_0,axiom,
c_Expr_Oexp_OVal(X1,X6) != c_Expr_Oexp_OTryCatch(X4,X2,X5,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1002,def_lhs_atom223]) ).
cnf(c_0_1003_0,axiom,
c_Expr_Oexp_OTryCatch(X4,X2,X5,X3,X6) != c_Expr_Oexp_OVal(X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1003,def_lhs_atom219]) ).
cnf(c_0_1004_0,axiom,
c_Expr_Oexp_OCond(X4,X2,X1,X6) != c_Expr_Oexp_OSeq(X5,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1004,def_lhs_atom216]) ).
cnf(c_0_1005_0,axiom,
c_Expr_Oexp_OSeq(X5,X3,X6) != c_Expr_Oexp_OCond(X4,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1005,def_lhs_atom214]) ).
cnf(c_0_1006_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_1006,def_lhs_atom208]) ).
cnf(c_0_1007_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_1007,def_lhs_atom200]) ).
cnf(c_0_1008_0,axiom,
c_Expr_Oexp_OCond(X5,X3,X1,X6) != c_Expr_Oexp_OWhile(X4,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1008,def_lhs_atom189]) ).
cnf(c_0_1009_0,axiom,
c_Expr_Oexp_OFAss(X5,X3,X2,X4,X6) != c_Expr_Oexp_OVal(X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1009,def_lhs_atom188]) ).
cnf(c_0_1010_0,axiom,
c_Expr_Oexp_OWhile(X4,X2,X6) != c_Expr_Oexp_OCond(X5,X3,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1010,def_lhs_atom184]) ).
cnf(c_0_1011_0,axiom,
c_Expr_Oexp_OBinOp(X4,X5,X2,X6) != c_Expr_Oexp_OWhile(X3,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1011,def_lhs_atom175]) ).
cnf(c_0_1012_0,axiom,
c_Expr_Oexp_OWhile(X3,X1,X6) != c_Expr_Oexp_OBinOp(X4,X5,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1012,def_lhs_atom173]) ).
cnf(c_0_1013_0,axiom,
c_Expr_Oexp_OFAcc(X5,X2,X1,X6) != c_Expr_Oexp_OSeq(X4,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1013,def_lhs_atom172]) ).
cnf(c_0_1014_0,axiom,
c_Expr_Oexp_OBinOp(X4,X5,X2,X6) != c_Expr_Oexp_OSeq(X3,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1014,def_lhs_atom166]) ).
cnf(c_0_1015_0,axiom,
c_Expr_Oexp_OSeq(X3,X1,X6) != c_Expr_Oexp_OBinOp(X4,X5,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1015,def_lhs_atom164]) ).
cnf(c_0_1016_0,axiom,
c_Expr_Oexp_OFAcc(X5,X2,X1,X6) != c_Expr_Oexp_OWhile(X4,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1016,def_lhs_atom162]) ).
cnf(c_0_1017_0,axiom,
c_Expr_Oexp_OVal(X1,X6) != c_Expr_Oexp_OFAss(X5,X3,X2,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1017,def_lhs_atom153]) ).
cnf(c_0_1018_0,axiom,
c_Expr_Oexp_OWhile(X4,X3,X6) != c_Expr_Oexp_OFAcc(X5,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1018,def_lhs_atom152]) ).
cnf(c_0_1019_0,axiom,
c_Expr_Oexp_OSeq(X4,X3,X6) != c_Expr_Oexp_OFAcc(X5,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1019,def_lhs_atom150]) ).
cnf(c_0_1020_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_1020,def_lhs_atom140]) ).
cnf(c_0_1021_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_1021,def_lhs_atom133]) ).
cnf(c_0_1022_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_1022,def_lhs_atom132]) ).
cnf(c_0_1023_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_1023,def_lhs_atom129]) ).
cnf(c_0_1024_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_1024,def_lhs_atom123]) ).
cnf(c_0_1025_0,axiom,
c_Expr_Oexp_OCall(X4,X2,X1,X6) != c_Expr_Oexp_OCast(X3,X5,X6),
inference(unfold_definition,[status(thm)],[c_0_1025,def_lhs_atom118]) ).
cnf(c_0_1026_0,axiom,
c_Expr_Oexp_OBinOp(X3,X4,X2,X6) != c_Expr_Oexp_OLAss(X5,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1026,def_lhs_atom116]) ).
cnf(c_0_1027_0,axiom,
c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6) != c_Expr_Oexp_Othrow(X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1027,def_lhs_atom114]) ).
cnf(c_0_1028_0,axiom,
c_Expr_Oexp_OCall(X5,X2,X1,X6) != c_Expr_Oexp_OWhile(X4,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1028,def_lhs_atom110]) ).
cnf(c_0_1029_0,axiom,
c_Expr_Oexp_Othrow(X3,X6) != c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1029,def_lhs_atom100]) ).
cnf(c_0_1030_0,axiom,
c_Expr_Oexp_OBlock(X5,X1,X3,X6) != c_Expr_Oexp_OCast(X2,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1030,def_lhs_atom97]) ).
cnf(c_0_1031_0,axiom,
c_Expr_Oexp_Othrow(X4,X6) != c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1031,def_lhs_atom94]) ).
cnf(c_0_1032_0,axiom,
c_Expr_Oexp_OCast(X3,X5,X6) != c_Expr_Oexp_OFAcc(X4,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1032,def_lhs_atom92]) ).
cnf(c_0_1033_0,axiom,
c_Expr_Oexp_OCast(X3,X5,X6) != c_Expr_Oexp_OCall(X4,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1033,def_lhs_atom91]) ).
cnf(c_0_1034_0,axiom,
c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OFAcc(X3,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1034,def_lhs_atom88]) ).
cnf(c_0_1035_0,axiom,
c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OCall(X3,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1035,def_lhs_atom87]) ).
cnf(c_0_1036_0,axiom,
c_Expr_Oexp_OBlock(X5,X1,X4,X6) != c_Expr_Oexp_OWhile(X3,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1036,def_lhs_atom82]) ).
cnf(c_0_1037_0,axiom,
c_Expr_Oexp_OCond(X4,X3,X2,X6) != c_Expr_Oexp_OCast(X1,X5,X6),
inference(unfold_definition,[status(thm)],[c_0_1037,def_lhs_atom79]) ).
cnf(c_0_1038_0,axiom,
c_Expr_Oexp_OFAcc(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1038,def_lhs_atom74]) ).
cnf(c_0_1039_0,axiom,
c_Expr_Oexp_OCall(X5,X2,X1,X6) != c_Expr_Oexp_OSeq(X4,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1039,def_lhs_atom73]) ).
cnf(c_0_1040_0,axiom,
c_Expr_Oexp_OLAss(X5,X1,X6) != c_Expr_Oexp_OBinOp(X3,X4,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1040,def_lhs_atom68]) ).
cnf(c_0_1041_0,axiom,
c_Expr_Oexp_OBinOp(X3,X5,X2,X6) != c_Expr_Oexp_OCast(X1,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1041,def_lhs_atom64]) ).
cnf(c_0_1042_0,axiom,
c_Expr_Oexp_OCast(X1,X4,X6) != c_Expr_Oexp_OBinOp(X3,X5,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1042,def_lhs_atom59]) ).
cnf(c_0_1043_0,axiom,
c_Expr_Oexp_OLAss(X5,X3,X6) != c_Expr_Oexp_OBlock(X4,X1,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1043,def_lhs_atom58]) ).
cnf(c_0_1044_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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X3),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),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(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_1044,def_lhs_atom56]) ).
cnf(c_0_1045_0,axiom,
c_Expr_Oexp_OSeq(X4,X3,X6) != c_Expr_Oexp_OCall(X5,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1045,def_lhs_atom55]) ).
cnf(c_0_1046_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_1046,def_lhs_atom54]) ).
cnf(c_0_1047_0,axiom,
c_Expr_Oexp_OWhile(X4,X3,X6) != c_Expr_Oexp_OCall(X5,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1047,def_lhs_atom53]) ).
cnf(c_0_1048_0,axiom,
c_Expr_Oexp_OCond(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1048,def_lhs_atom51]) ).
cnf(c_0_1049_0,axiom,
c_Expr_Oexp_OBlock(X4,X1,X2,X6) != c_Expr_Oexp_OLAss(X5,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1049,def_lhs_atom42]) ).
cnf(c_0_1050_0,axiom,
c_Expr_Oexp_OSeq(X3,X2,X6) != c_Expr_Oexp_OBlock(X5,X1,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1050,def_lhs_atom36]) ).
cnf(c_0_1051_0,axiom,
c_Expr_Oexp_OFAcc(X4,X2,X1,X6) != c_Expr_Oexp_OCast(X3,X5,X6),
inference(unfold_definition,[status(thm)],[c_0_1051,def_lhs_atom35]) ).
cnf(c_0_1052_0,axiom,
c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OCond(X3,X2,X1,X6),
inference(unfold_definition,[status(thm)],[c_0_1052,def_lhs_atom29]) ).
cnf(c_0_1053_0,axiom,
c_Expr_Oexp_OCast(X1,X5,X6) != c_Expr_Oexp_OCond(X4,X3,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1053,def_lhs_atom28]) ).
cnf(c_0_1054_0,axiom,
c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X6) != c_Expr_Oexp_Othrow(X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1054,def_lhs_atom25]) ).
cnf(c_0_1055_0,axiom,
c_Expr_Oexp_OCall(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1055,def_lhs_atom24]) ).
cnf(c_0_1056_0,axiom,
c_Expr_Oexp_OCast(X2,X4,X6) != c_Expr_Oexp_OBlock(X5,X1,X3,X6),
inference(unfold_definition,[status(thm)],[c_0_1056,def_lhs_atom22]) ).
cnf(c_0_1057_0,axiom,
c_Expr_Oexp_OWhile(X3,X2,X6) != c_Expr_Oexp_OBlock(X5,X1,X4,X6),
inference(unfold_definition,[status(thm)],[c_0_1057,def_lhs_atom20]) ).
cnf(c_0_1058_0,axiom,
c_Expr_Oexp_OBlock(X5,X1,X4,X6) != c_Expr_Oexp_OSeq(X3,X2,X6),
inference(unfold_definition,[status(thm)],[c_0_1058,def_lhs_atom10]) ).
cnf(c_0_1059_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_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X3),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X2,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X3),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X2),
inference(unfold_definition,[status(thm)],[c_0_1059,def_lhs_atom7]) ).
cnf(c_0_1060_0,axiom,
c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1060,def_lhs_atom213]) ).
cnf(c_0_1061_0,axiom,
c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1061,def_lhs_atom210]) ).
cnf(c_0_1062_0,axiom,
c_Expr_Oexp_OWhile(X3,X1,X5) != c_Expr_Oexp_OSeq(X4,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1062,def_lhs_atom196]) ).
cnf(c_0_1063_0,axiom,
c_Expr_Oexp_OFAcc(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1063,def_lhs_atom191]) ).
cnf(c_0_1064_0,axiom,
c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1064,def_lhs_atom182]) ).
cnf(c_0_1065_0,axiom,
c_Expr_Oexp_OSeq(X4,X2,X5) != c_Expr_Oexp_OWhile(X3,X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1065,def_lhs_atom176]) ).
cnf(c_0_1066_0,axiom,
c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1066,def_lhs_atom160]) ).
cnf(c_0_1067_0,axiom,
c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OFAcc(X4,X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1067,def_lhs_atom154]) ).
cnf(c_0_1068_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_1068,def_lhs_atom142]) ).
cnf(c_0_1069_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_1069,def_lhs_atom141]) ).
cnf(c_0_1070_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_1070,def_lhs_atom139]) ).
cnf(c_0_1071_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_1071,def_lhs_atom137]) ).
cnf(c_0_1072_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_1072,def_lhs_atom134]) ).
cnf(c_0_1073_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_1073,def_lhs_atom131]) ).
cnf(c_0_1074_0,axiom,
c_Expr_Oexp_OWhile(X3,X2,X5) != c_Expr_Oexp_OCast(X1,X4,X5),
inference(unfold_definition,[status(thm)],[c_0_1074,def_lhs_atom126]) ).
cnf(c_0_1075_0,axiom,
c_Expr_Oexp_OSeq(X3,X2,X5) != c_Expr_Oexp_OCast(X1,X4,X5),
inference(unfold_definition,[status(thm)],[c_0_1075,def_lhs_atom125]) ).
cnf(c_0_1076_0,axiom,
c_Expr_Oexp_OFAcc(X4,X2,X1,X5) != c_Expr_Oexp_Othrow(X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1076,def_lhs_atom122]) ).
cnf(c_0_1077_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_1077,def_lhs_atom115]) ).
cnf(c_0_1078_0,axiom,
c_Expr_Oexp_Othrow(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1078,def_lhs_atom112]) ).
cnf(c_0_1079_0,axiom,
c_Expr_Oexp_OCall(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1079,def_lhs_atom111]) ).
cnf(c_0_1080_0,axiom,
c_Expr_Oexp_Othrow(X3,X5) != c_Expr_Oexp_OFAcc(X4,X2,X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1080,def_lhs_atom108]) ).
cnf(c_0_1081_0,axiom,
c_Expr_Oexp_Othrow(X3,X5) != c_Expr_Oexp_OCall(X4,X2,X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1081,def_lhs_atom107]) ).
cnf(c_0_1082_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_1082,def_lhs_atom104]) ).
cnf(c_0_1083_0,axiom,
c_Expr_Oexp_Othrow(X2,X5) != c_Expr_Oexp_OBlock(X4,X1,X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1083,def_lhs_atom103]) ).
cnf(c_0_1084_0,axiom,
c_Expr_Oexp_OLAss(X4,X3,X5) != c_Expr_Oexp_OWhile(X2,X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1084,def_lhs_atom99]) ).
cnf(c_0_1085_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_1085,def_lhs_atom96]) ).
cnf(c_0_1086_0,axiom,
c_Expr_Oexp_OBlock(X4,X2,X3,X5) != c_Expr_Oexp_OVal(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1086,def_lhs_atom95]) ).
cnf(c_0_1087_0,axiom,
c_Expr_Oexp_OLAss(X4,X2,X5) != c_Expr_Oexp_OCast(X1,X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1087,def_lhs_atom81]) ).
cnf(c_0_1088_0,axiom,
c_Expr_Oexp_OCast(X1,X4,X5) != c_Expr_Oexp_OWhile(X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1088,def_lhs_atom80]) ).
cnf(c_0_1089_0,axiom,
c_Expr_Oexp_OCall(X4,X2,X1,X5) != c_Expr_Oexp_Othrow(X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1089,def_lhs_atom76]) ).
cnf(c_0_1090_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_1090,def_lhs_atom72]) ).
cnf(c_0_1091_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_1091,def_lhs_atom66]) ).
cnf(c_0_1092_0,axiom,
c_Expr_Oexp_OLAss(X4,X3,X5) != c_Expr_Oexp_OSeq(X2,X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1092,def_lhs_atom65]) ).
cnf(c_0_1093_0,axiom,
c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_Othrow(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1093,def_lhs_atom57]) ).
cnf(c_0_1094_0,axiom,
c_Expr_Oexp_OCast(X1,X3,X5) != c_Expr_Oexp_OLAss(X4,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1094,def_lhs_atom49]) ).
cnf(c_0_1095_0,axiom,
c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OBlock(X4,X2,X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1095,def_lhs_atom46]) ).
cnf(c_0_1096_0,axiom,
c_Expr_Oexp_OCast(X1,X4,X5) != c_Expr_Oexp_OSeq(X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1096,def_lhs_atom45]) ).
cnf(c_0_1097_0,axiom,
c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCall(X4,X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1097,def_lhs_atom43]) ).
cnf(c_0_1098_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_1098,def_lhs_atom40]) ).
cnf(c_0_1099_0,axiom,
c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_Othrow(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_1099,def_lhs_atom33]) ).
cnf(c_0_1100_0,axiom,
c_Expr_Oexp_OSeq(X2,X1,X5) != c_Expr_Oexp_OLAss(X4,X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1100,def_lhs_atom19]) ).
cnf(c_0_1101_0,axiom,
c_Expr_Oexp_OWhile(X2,X1,X5) != c_Expr_Oexp_OLAss(X4,X3,X5),
inference(unfold_definition,[status(thm)],[c_0_1101,def_lhs_atom17]) ).
cnf(c_0_1102_0,axiom,
c_Expr_Oexp_OBlock(X4,X1,X3,X5) != c_Expr_Oexp_Othrow(X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1102,def_lhs_atom14]) ).
cnf(c_0_1103_0,axiom,
c_Expr_Oexp_Othrow(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_1103,def_lhs_atom12]) ).
cnf(c_0_1104_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_1104,def_lhs_atom11]) ).
cnf(c_0_1105_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OBlock(X3,X4,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X2),tc_List_Olist(tc_String_Ochar)),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(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_1105,def_lhs_atom8]) ).
cnf(c_0_1106_0,axiom,
c_SmallStep_Oredp(X5,c_Expr_Oexp_OBlock(X3,X4,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X2),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X2),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1),
inference(unfold_definition,[status(thm)],[c_0_1106,def_lhs_atom6]) ).
cnf(c_0_1107_0,axiom,
c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1107,def_lhs_atom225]) ).
cnf(c_0_1108_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_1108,def_lhs_atom217]) ).
cnf(c_0_1109_0,axiom,
c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1109,def_lhs_atom204]) ).
cnf(c_0_1110_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_1110,def_lhs_atom190]) ).
cnf(c_0_1111_0,axiom,
c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1111,def_lhs_atom170]) ).
cnf(c_0_1112_0,axiom,
c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1112,def_lhs_atom161]) ).
cnf(c_0_1113_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_1113,def_lhs_atom149]) ).
cnf(c_0_1114_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_1114,def_lhs_atom138]) ).
cnf(c_0_1115_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_1115,def_lhs_atom136]) ).
cnf(c_0_1116_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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(X2,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_1116,def_lhs_atom128]) ).
cnf(c_0_1117_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_1117,def_lhs_atom127]) ).
cnf(c_0_1118_0,axiom,
c_Map_Omap__le(X2,c_Map_Omap__add(X1,X2,X4,X3),X4,X3),
inference(unfold_definition,[status(thm)],[c_0_1118,def_lhs_atom124]) ).
cnf(c_0_1119_0,axiom,
c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1119,def_lhs_atom106]) ).
cnf(c_0_1120_0,axiom,
c_Expr_Oexp_Othrow(X2,X4) != c_Expr_Oexp_OCast(X1,X3,X4),
inference(unfold_definition,[status(thm)],[c_0_1120,def_lhs_atom105]) ).
cnf(c_0_1121_0,axiom,
c_SmallStep_Oredp(X4,c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X3,X2,tc_List_Olist(tc_String_Ochar)),X1,X2,X1),
inference(unfold_definition,[status(thm)],[c_0_1121,def_lhs_atom98]) ).
cnf(c_0_1122_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_1122,def_lhs_atom90]) ).
cnf(c_0_1123_0,axiom,
c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1123,def_lhs_atom85]) ).
cnf(c_0_1124_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_1124,def_lhs_atom70]) ).
cnf(c_0_1125_0,axiom,
c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1125,def_lhs_atom63]) ).
cnf(c_0_1126_0,axiom,
c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1126,def_lhs_atom61]) ).
cnf(c_0_1127_0,axiom,
c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OWhile(X3,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1127,def_lhs_atom48]) ).
cnf(c_0_1128_0,axiom,
c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OCast(X2,X3,X4),
inference(unfold_definition,[status(thm)],[c_0_1128,def_lhs_atom47]) ).
cnf(c_0_1129_0,axiom,
c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1129,def_lhs_atom38]) ).
cnf(c_0_1130_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_1130,def_lhs_atom37]) ).
cnf(c_0_1131_0,axiom,
c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1131,def_lhs_atom32]) ).
cnf(c_0_1132_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_1132,def_lhs_atom23]) ).
cnf(c_0_1133_0,axiom,
c_Expr_Oexp_OCast(X2,X3,X4) != c_Expr_Oexp_OVal(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1133,def_lhs_atom18]) ).
cnf(c_0_1134_0,axiom,
c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_Othrow(X2,X4),
inference(unfold_definition,[status(thm)],[c_0_1134,def_lhs_atom15]) ).
cnf(c_0_1135_0,axiom,
c_Expr_Oexp_OWhile(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
inference(unfold_definition,[status(thm)],[c_0_1135,def_lhs_atom13]) ).
cnf(c_0_1136_0,axiom,
c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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(X3,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_1136,def_lhs_atom9]) ).
cnf(c_0_1137_0,axiom,
c_SmallStep_Oredp(X4,c_Expr_Oexp_OCond(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X3,X2,tc_List_Olist(tc_String_Ochar)),X1,X3,X1),
inference(unfold_definition,[status(thm)],[c_0_1137,def_lhs_atom3]) ).
cnf(c_0_1138_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_1138,def_lhs_atom233]) ).
cnf(c_0_1139_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X2,X3),X1),X1)),
inference(unfold_definition,[status(thm)],[c_0_1139,def_lhs_atom231]) ).
cnf(c_0_1140_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_1140,def_lhs_atom226]) ).
cnf(c_0_1141_0,axiom,
c_Map_Omap__le(X1,X1,X3,X2),
inference(unfold_definition,[status(thm)],[c_0_1141,def_lhs_atom215]) ).
cnf(c_0_1142_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_1142,def_lhs_atom207]) ).
cnf(c_0_1143_0,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_1143,def_lhs_atom198]) ).
cnf(c_0_1144_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(unfold_definition,[status(thm)],[c_0_1144,def_lhs_atom197]) ).
cnf(c_0_1145_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_1145,def_lhs_atom167]) ).
cnf(c_0_1146_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_1146,def_lhs_atom147]) ).
cnf(c_0_1147_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_1147,def_lhs_atom146]) ).
cnf(c_0_1148_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_1148,def_lhs_atom143]) ).
cnf(c_0_1149_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_1149,def_lhs_atom135]) ).
cnf(c_0_1150_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_1150,def_lhs_atom130]) ).
cnf(c_0_1151_0,axiom,
c_Expr_Oexp_Othrow(X2,X3) != c_Expr_Oexp_OVal(X1,X3),
inference(unfold_definition,[status(thm)],[c_0_1151,def_lhs_atom119]) ).
cnf(c_0_1152_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_1152,def_lhs_atom62]) ).
cnf(c_0_1153_0,axiom,
c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_Othrow(X2,X3),
inference(unfold_definition,[status(thm)],[c_0_1153,def_lhs_atom41]) ).
cnf(c_0_1154_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X2),X1),X1)),
inference(unfold_definition,[status(thm)],[c_0_1154,def_lhs_atom236]) ).
cnf(c_0_1155_0,axiom,
c_List_Olist__all2(c_fequal(X2),X1,X1,X2,X2),
inference(unfold_definition,[status(thm)],[c_0_1155,def_lhs_atom224]) ).
cnf(c_0_1156_0,axiom,
c_COMBI(X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_1156,def_lhs_atom212]) ).
cnf(c_0_1157_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_1157,def_lhs_atom148]) ).
cnf(c_0_1158_0,axiom,
c_Objects_Ohext(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_1158,def_lhs_atom206]) ).
cnf(c_0_1159_0,axiom,
c_Type_Oty_OClass(X1) != c_Type_Oty_ONT,
inference(unfold_definition,[status(thm)],[c_0_1159,def_lhs_atom192]) ).
cnf(c_0_1160_0,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OClass(X1),
inference(unfold_definition,[status(thm)],[c_0_1160,def_lhs_atom185]) ).
cnf(c_0_1161_0,axiom,
c_Type_Oty_OClass(X1) != c_Type_Oty_OBoolean,
inference(unfold_definition,[status(thm)],[c_0_1161,def_lhs_atom159]) ).
cnf(c_0_1162_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(X1),
inference(unfold_definition,[status(thm)],[c_0_1162,def_lhs_atom157]) ).
cnf(c_0_1163_0,axiom,
c_Value_Oval_ONull != c_Value_Oval_OAddr(X1),
inference(unfold_definition,[status(thm)],[c_0_1163,def_lhs_atom5]) ).
cnf(c_0_1164_0,axiom,
c_Value_Oval_OUnit != c_Value_Oval_OAddr(X1),
inference(unfold_definition,[status(thm)],[c_0_1164,def_lhs_atom4]) ).
cnf(c_0_1165_0,axiom,
c_Value_Oval_OAddr(X1) != c_Value_Oval_ONull,
inference(unfold_definition,[status(thm)],[c_0_1165,def_lhs_atom2]) ).
cnf(c_0_1166_0,axiom,
c_Value_Oval_OAddr(X1) != c_Value_Oval_OUnit,
inference(unfold_definition,[status(thm)],[c_0_1166,def_lhs_atom1]) ).
cnf(c_0_1167_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_1167,def_lhs_atom235]) ).
cnf(c_0_1168_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_1168,def_lhs_atom234]) ).
cnf(c_0_1169_0,axiom,
c_COMBI(v_P,t_a) = v_P,
inference(unfold_definition,[status(thm)],[c_0_1169,def_lhs_atom232]) ).
cnf(c_0_1170_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_ONT),
inference(unfold_definition,[status(thm)],[c_0_1170,def_lhs_atom230]) ).
cnf(c_0_1171_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_1171,def_lhs_atom229]) ).
cnf(c_0_1172_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_1172,def_lhs_atom222]) ).
cnf(c_0_1173_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_1173,def_lhs_atom221]) ).
cnf(c_0_1174_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_1174,def_lhs_atom218]) ).
cnf(c_0_1175_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
inference(unfold_definition,[status(thm)],[c_0_1175,def_lhs_atom211]) ).
cnf(c_0_1176_0,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
inference(unfold_definition,[status(thm)],[c_0_1176,def_lhs_atom205]) ).
cnf(c_0_1177_0,axiom,
v_v____ = c_Value_Oval_ONull,
inference(unfold_definition,[status(thm)],[c_0_1177,def_lhs_atom203]) ).
cnf(c_0_1178_0,axiom,
c_Value_Oval_ONull != c_Value_Oval_OUnit,
inference(unfold_definition,[status(thm)],[c_0_1178,def_lhs_atom145]) ).
cnf(c_0_1179_0,axiom,
c_Value_Oval_OUnit != c_Value_Oval_ONull,
inference(unfold_definition,[status(thm)],[c_0_1179,def_lhs_atom144]) ).
% 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,
! [X49,X90,X45,X46,X47,X13,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,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)))),c_Pair(X13,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X13,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X55,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)))),c_Pair(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,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_OVal(c_Value_Oval_OBool(c_True),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)))))) ),
file('<stdin>',cls_WhileTReds_0) ).
fof(c_0_2_003,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_3_004,axiom,
! [X19,X45,X46,X47,X11,X12,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X12,X56,X57,X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(X19,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)))))) ),
file('<stdin>',cls_FAssRedsThrow2_0) ).
fof(c_0_4_005,axiom,
! [X49,X45,X46,X47,X11,X12,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X12,X70,X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(X49,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)))))) ),
file('<stdin>',cls_BinOpRedsThrow2_0) ).
fof(c_0_5_006,axiom,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(c_Value_Oval_OBool(c_True),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)))))) ),
file('<stdin>',cls_CondReds2T_0) ).
fof(c_0_6_007,axiom,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(c_Value_Oval_OBool(c_False),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)))))) ),
file('<stdin>',cls_CondReds2F_0) ).
fof(c_0_7_008,axiom,
! [X45,X46,X47,X13,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X55,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,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_OVal(c_Value_Oval_OBool(c_True),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)))))) ),
file('<stdin>',cls_WhileTRedsThrow_0) ).
fof(c_0_8_009,axiom,
! [X49,X45,X46,X47,X79,X11,X12,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X12,X11,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)))),c_Pair(X79,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X79,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(X49,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)))))) ),
file('<stdin>',cls_SeqReds2_0) ).
fof(c_0_9_010,axiom,
! [X58,X83,X59,X17,X10,X60,X13,X7] :
( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X83,X59,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(X60,c_Pair(X17,c_Map_Omap__add(X83,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_10_011,axiom,
! [X58,X83,X59,X17,X10,X60,X13,X7] :
( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X83,X59,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(X60,c_Pair(X17,c_Map_Omap__add(X83,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_11_012,axiom,
! [X19,X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X56,X57,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_12_013,axiom,
! [X68,X69,X60,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)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_13_014,axiom,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_14_015,axiom,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_15_016,axiom,
! [X19,X68,X69,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)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_16_017,axiom,
! [X19,X68,X69,X60,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X70,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X70,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_17_018,axiom,
! [X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_18_019,axiom,
! [X68,X69,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X12,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_19_020,axiom,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X70,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_20_021,axiom,
! [X68,X69,X67,X60,X13,X7,X82] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X82,X67,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X82,X67,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_21_022,axiom,
! [X46,X89,X67,X13,X37,X7,X82] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X82,X67,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)))),c_Pair(c_Expr_Oexp_Othrow(X37,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(X13,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(c_Expr_Oexp_Othrow(X37,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)))))) ),
file('<stdin>',cls_CallRedsThrowObj_0) ).
fof(c_0_22_023,axiom,
! [X68,X69,X13,X37,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_23_024,axiom,
! [X68,X69,X11,X12,X13,X37,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_24_025,axiom,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_25_026,axiom,
! [X68,X69,X60,X11,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_26_027,axiom,
! [X68,X69,X60,X13,X23,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_27_028,axiom,
! [X68,X69,X60,X13,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_28_029,axiom,
! [X68,X69,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OUnit,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_WhileFReds_0) ).
fof(c_0_29_030,axiom,
! [X68,X69,X13,X37,X23,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_30_031,axiom,
! [X68,X69,X13,X37,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_31_032,axiom,
! [X68,X69,X60,X11,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_32_033,axiom,
! [X68,X69,X13,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_33_034,axiom,
! [X68,X69,X13,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_34_035,axiom,
! [X68,X69,X13,X37,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_35_036,axiom,
! [X68,X69,X60,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_36_037,axiom,
! [X19,X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X56,X57,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_37_038,axiom,
! [X68,X69,X60,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)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_38_039,axiom,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_39_040,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_40_041,axiom,
! [X49,X68,X69,X60,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X70,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X49,tc_List_Olist(tc_String_Ochar)),X70,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_41_042,axiom,
! [X68,X69,X67,X60,X13,X7,X82] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X82,X67,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X82,X67,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_42_043,axiom,
! [X68,X69,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X12,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_43_044,axiom,
! [X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_44_045,axiom,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X70,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_45_046,axiom,
! [X68,X69,X60,X13,X23,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_46_047,axiom,
! [X68,X69,X60,X13,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_47_048,axiom,
! [X68,X69,X60,X11,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_48_049,axiom,
! [X68,X69,X60,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_49_050,axiom,
! [X19,X10,X13,X18,X7,X56,X15,X57] :
( 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(X57,X15,X56,X7,X13,X10,X19)))
| ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X56,X57,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WTrt__elim__cases_I8_J_4) ).
fof(c_0_50_051,axiom,
! [X58,X59,X17,X10,X60,X13,X18,X7,X15] :
( c_Conform_Olconf(X7,X17,X58,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,X59,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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_51_052,axiom,
! [X10,X13,X18,X7,X56,X15,X57] :
( 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__7__1(X57,X15,X56,X7,X18,X13,X10)))
| ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WTrt__elim__cases_I7_J_0) ).
fof(c_0_52_053,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_53_054,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_54_055,axiom,
! [X58,X59,X17,X10,X60,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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_55_056,axiom,
! [X58,X59,X17,X10,X60,X13,X7] :
( c_Objects_Ohext(X10,X17)
| ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_56_057,axiom,
! [X68,X69,X60,X13,X18,X7,X15] :
( c_TypeSafe__Mirabelle_Osconf(X7,X15,X68)
| ~ c_TypeSafe__Mirabelle_Osconf(X7,X15,X69)
| ~ c_WellTypeRT_OWTrt(X7,c_State_Ohp(X69),X15,X13,X18)
| ~ c_in(c_Pair(c_Pair(X13,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_57_058,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_58_059,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_59_060,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_60_061,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_61_062,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_62_063,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_63_064,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_64_065,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_65_066,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_66_067,axiom,
! [X58,X59,X17,X10,X66,X67,X7] :
( c_Objects_Ohext(X10,X17)
| ~ c_BigStep_Oevals(X7,X67,c_Pair(X10,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X66,c_Pair(X17,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)))) ),
file('<stdin>',cls_evals__hext_0) ).
fof(c_0_67_068,axiom,
! [X58,X59,X17,X10,X60,X13,X7] :
( c_Objects_Ohext(X10,X17)
| ~ c_BigStep_Oeval(X7,X13,c_Pair(X10,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X60,c_Pair(X17,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)))) ),
file('<stdin>',cls_eval__hext_0) ).
fof(c_0_68_069,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_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__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_70_071,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_71_072,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_72_073,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_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_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_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_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_75_076,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_76_077,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_77_078,axiom,
! [X19,X68,X69,X60,X13,X7,X56,X57] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OFAssRed2_0) ).
fof(c_0_78_079,axiom,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OFAss(X60,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OFAssRed1_0) ).
fof(c_0_79_080,axiom,
! [X68,X69,X60,X11,X13,X23,X7,X24] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OTryCatch(X60,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OTryRed_0) ).
fof(c_0_80_081,axiom,
! [X19,X45,X46,X47,X60,X11,X12,X7,X56,X57] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X11,X46,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OFAssThrow2_0) ).
fof(c_0_81_082,axiom,
! [X49,X90,X45,X46,X47,X91,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,X91,X90)
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X45,X91,X90)
| ~ c_BigStep_Oeval(X7,X55,X46,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_WhileT_0) ).
fof(c_0_82_083,axiom,
! [X69,X80,X40,X41,X36,X37,X42,X3] :
( c_in(c_Pair(X41,X40,X42,X42),X69,tc_prod(X42,X42))
| c_in(c_Pair(X37,X36,X3,X3),X80,tc_prod(X3,X3))
| ~ c_in(c_Pair(c_Pair(X37,X41,X3,X42),c_Pair(X36,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42))) ),
file('<stdin>',cls_in__lex__prod_1) ).
fof(c_0_83_084,axiom,
! [X43,X10,X44,X7,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X7,X44,X10,X43,X3),X44,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X44,tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__conv__map_1) ).
fof(c_0_84_085,axiom,
! [X69,X80,X40,X41,X36,X37,X42,X3] :
( X37 = X36
| c_in(c_Pair(X37,X36,X3,X3),X80,tc_prod(X3,X3))
| ~ c_in(c_Pair(c_Pair(X37,X41,X3,X42),c_Pair(X36,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42))) ),
file('<stdin>',cls_in__lex__prod_0) ).
fof(c_0_85_086,axiom,
! [X49,X45,X46,X47,X11,X12,X13,X70,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X70,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X11,X46,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OBinOpThrow2_0) ).
fof(c_0_86_087,axiom,
! [X46,X47,X60,X11,X12,X7,X56,X57] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OFAssThrow1_0) ).
fof(c_0_87_088,axiom,
! [X49,X46,X47,X11,X12,X23,X7,X24] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_Try_0) ).
fof(c_0_88_089,axiom,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X47,X60,X45)
| ~ c_BigStep_Oeval(X7,X12,X46,X60,X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_CondT_0) ).
fof(c_0_89_090,axiom,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X47,X60,X45)
| ~ c_BigStep_Oeval(X7,X11,X46,X60,X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_CondF_0) ).
fof(c_0_90_091,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_91_092,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_92_093,axiom,
! [X43,X10,X44,X5,X7,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X44,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X5,X44,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X5,tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__widens_0) ).
fof(c_0_93_094,axiom,
! [X45,X46,X47,X60,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X55,X46,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_WhileBodyThrow_0) ).
fof(c_0_94_095,axiom,
! [X19,X45,X46,X47,X11,X12,X48,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X48,X12,tc_List_Olist(tc_String_Ochar)),X47,X11,X45)
| ~ c_BigStep_Oeval(X7,X12,X46,X11,X45)
| ~ c_BigStep_Oeval(X7,X48,X47,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_Seq_0) ).
fof(c_0_95_096,axiom,
! [X68,X69,X60,X55,X41,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,X60,X68)
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X41,c_Expr_Oexp_OSeq(X55,c_Expr_Oexp_OWhile(X41,X55,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)),X69,X60,X68) ),
file('<stdin>',cls_unfold__while_1) ).
fof(c_0_96_097,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_97_098,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_98_099,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_99_100,axiom,
! [X68,X69,X60,X55,X41,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X41,c_Expr_Oexp_OSeq(X55,c_Expr_Oexp_OWhile(X41,X55,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)),X69,X60,X68)
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,X60,X68) ),
file('<stdin>',cls_unfold__while_0) ).
fof(c_0_100_101,axiom,
! [X64,X71,X52,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X52,X64,X3,X42)
| ~ c_in(c_Pair(X9,X71,X3,X42),X22,tc_prod(X3,X42)) ),
file('<stdin>',cls_rel__list__all2__Cons_2) ).
fof(c_0_101_102,axiom,
! [X52,X53,X54,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X54,X53,X42),X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X52,X53,X3,X42)
| ~ c_in(c_Pair(X9,X54,X3,X42),X22,tc_prod(X3,X42)) ),
file('<stdin>',cls_rel__list__all2__Cons1_3) ).
fof(c_0_102_103,axiom,
! [X64,X71,X54,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X54,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X54,X64,X3,X42)
| ~ c_in(c_Pair(X9,X71,X3,X42),X22,tc_prod(X3,X42)) ),
file('<stdin>',cls_rel__list__all2__Cons2_3) ).
fof(c_0_103_104,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_104_105,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_105_106,axiom,
! [X84,X71,X9,X85,X7,X42,X3] :
( c_in(c_Pair(c_Pair(X9,X84,X3,X42),c_Pair(X9,X71,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Recdef_Osame__fst(X7,X85,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42)))
| ~ c_in(c_Pair(X84,X71,X42,X42),hAPP(X85,X9),tc_prod(X42,X42))
| ~ hBOOL(hAPP(X7,X9)) ),
file('<stdin>',cls_same__fstI_0) ).
fof(c_0_106_107,axiom,
! [X49,X68,X69,X60,X13,X70,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X70,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X70,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OBinOpRed2_0) ).
fof(c_0_107_108,axiom,
! [X69,X80,X40,X41,X36,X37,X42,X3] :
( c_in(c_Pair(c_Pair(X37,X41,X3,X42),c_Pair(X36,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42)))
| ~ c_in(c_Pair(X37,X36,X3,X3),X80,tc_prod(X3,X3)) ),
file('<stdin>',cls_in__lex__prod_2) ).
fof(c_0_108_109,axiom,
! [X9,X69,X80,X40,X41,X42,X3] :
( c_in(c_Pair(c_Pair(X9,X41,X3,X42),c_Pair(X9,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42)))
| ~ c_in(c_Pair(X41,X40,X42,X42),X69,tc_prod(X42,X42)) ),
file('<stdin>',cls_in__lex__prod_3) ).
fof(c_0_109_110,axiom,
! [X68,X69,X67,X60,X13,X7,X82] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCall(X13,X82,X67,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OCall(X60,X82,X67,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OCallObj_0) ).
fof(c_0_110_111,axiom,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OBinOp(X60,X70,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OBinOpRed1_0) ).
fof(c_0_111_112,axiom,
! [X68,X69,X60,X11,X12,X13,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OCond(X60,X12,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OCondRed_0) ).
fof(c_0_112_113,axiom,
! [X68,X69,X60,X13,X7,X56,X57] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OFAcc(X60,X56,X57,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OFAccRed_0) ).
fof(c_0_113_114,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_114_115,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_115_116,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_116_117,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_117_118,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_118_119,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X35 = X34 ),
file('<stdin>',cls_exp_Osimps_I8_J_0) ).
fof(c_0_119_120,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X75 = X74 ),
file('<stdin>',cls_exp_Osimps_I8_J_1) ).
fof(c_0_120_121,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X73 = X72 ),
file('<stdin>',cls_exp_Osimps_I8_J_2) ).
fof(c_0_121_122,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X33 = X32 ),
file('<stdin>',cls_exp_Osimps_I8_J_3) ).
fof(c_0_122_123,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_123_124,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_124_125,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_125_126,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_126_127,axiom,
! [X64,X71,X52,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X52,X64,X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
file('<stdin>',cls_rel__list__all2__Cons_1) ).
fof(c_0_127_128,axiom,
! [X46,X47,X60,X13,X7,X56,X57] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OFAccThrow_0) ).
fof(c_0_128_129,axiom,
! [X46,X47,X86,X60,X13,X7,X82] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCall(X13,X82,X86,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_CallObjThrow_0) ).
fof(c_0_129_130,axiom,
! [X46,X47,X60,X11,X12,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OCondThrow_0) ).
fof(c_0_130_131,axiom,
! [X46,X47,X11,X12,X13,X70,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X70,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OBinOpThrow1_0) ).
fof(c_0_131_132,axiom,
! [X52,X53,X54,X9,X7,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_List_Olist_OCons(X9,X52,tc_Type_Oty),c_List_Olist_OCons(X54,X53,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X52,X53,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X9),X54)) ),
file('<stdin>',cls_widens__Cons_3) ).
fof(c_0_132_133,axiom,
! [X10,X13,X18,X7,X56,X15,X57] :
( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X56,X57,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_133_134,axiom,
! [X10,X13,X18,X7,X56,X15,X57] :
( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X56,X57,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_134_135,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_135_136,axiom,
! [X64,X71,X54,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X54,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(X7,X54,X64,X3,X42)
| ~ hBOOL(hAPP(hAPP(X7,X9),X71)) ),
file('<stdin>',cls_list__all2__Cons2_3) ).
fof(c_0_136_137,axiom,
! [X52,X53,X54,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X54,X53,X42),X3,X42)
| ~ c_List_Olist__all2(X7,X52,X53,X3,X42)
| ~ hBOOL(hAPP(hAPP(X7,X9),X54)) ),
file('<stdin>',cls_list__all2__Cons1_3) ).
fof(c_0_137_138,axiom,
! [X64,X71,X52,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(X7,X52,X64,X3,X42)
| ~ hBOOL(hAPP(hAPP(X7,X9),X71)) ),
file('<stdin>',cls_list__all2__Cons_2) ).
fof(c_0_138_139,axiom,
! [X64,X71,X52,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,X52,X64,X3,X42)
| ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
file('<stdin>',cls_list__all2__Cons_1) ).
fof(c_0_139_140,axiom,
! [X43,X17,X10,X5,X7,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X7,X17,X3),X43,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X10,X17)
| ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X5,tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__hext_0) ).
fof(c_0_140_141,axiom,
! [X68,X69,X60,X13,X23,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OLAss(X23,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OLAssRed_0) ).
fof(c_0_141_142,axiom,
! [X68,X69,X60,X13,X7,X24] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OCast(X24,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OCastRed_0) ).
fof(c_0_142_143,axiom,
! [X68,X69,X60,X11,X13,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OSeq(X60,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OSeqRed_0) ).
fof(c_0_143_144,axiom,
! [X46,X47,X13,X37,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X37),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X37),tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_Throw_0) ).
fof(c_0_144_145,axiom,
! [X46,X47,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_WhileF_0) ).
fof(c_0_145_146,axiom,
! [X46,X47,X12,X48,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X48,X12,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X48,X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OSeqThrow_0) ).
fof(c_0_146_147,axiom,
! [X46,X47,X60,X13,X23,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OLAssThrow_0) ).
fof(c_0_147_148,axiom,
! [X46,X47,X60,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_WhileCondThrow_0) ).
fof(c_0_148_149,axiom,
! [X46,X47,X60,X13,X7,X24] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OCastThrow_0) ).
fof(c_0_149_150,axiom,
! [X46,X47,X13,X7,X24] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_CastNull_0) ).
fof(c_0_150_151,axiom,
! [X10,X13,X55,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,X55,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WTrt__elim__cases_I3_J_1) ).
fof(c_0_151_152,axiom,
! [X46,X47,X60,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
file('<stdin>',cls_eval__evals_OThrowThrow_0) ).
fof(c_0_152_153,axiom,
! [X68,X69,X60,X13,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
file('<stdin>',cls_redp__redsp_OThrowRed_0) ).
fof(c_0_153_154,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_154_155,axiom,
! [X59,X17,X10,X7,X15,X3] :
( c_Conform_Olconf(X7,X17,X59,X15,X3)
| ~ c_Objects_Ohext(X10,X17)
| ~ c_Conform_Olconf(X7,X10,X59,X15,X3) ),
file('<stdin>',cls_lconf__hext_0) ).
fof(c_0_155_156,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_156_157,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_157_158,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_158_159,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_159_160,axiom,
! [X64,X71,X52,X9,X22,X42,X3] :
( c_in(c_Pair(X9,X71,X3,X42),X22,tc_prod(X3,X42))
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
file('<stdin>',cls_rel__list__all2__Cons_0) ).
fof(c_0_160_161,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_161_162,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_162_163,axiom,
! [X10,X50,X51,X42,X3] :
( c_Map_Omap__le(c_Map_Omap__add(X51,X50,X3,X42),X10,X3,X42)
| ~ c_Map_Omap__le(X51,c_Map_Omap__add(X51,X50,X3,X42),X3,X42)
| ~ c_Map_Omap__le(X50,X10,X3,X42)
| ~ c_Map_Omap__le(X51,X10,X3,X42) ),
file('<stdin>',cls_map__add__le__mapI_0) ).
fof(c_0_163_164,axiom,
! [X80,X55,X41,X37,X3] :
( c_in(c_Pair(X37,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X41,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X37,X41,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3)) ),
file('<stdin>',cls_rtrancl__trans_0) ).
fof(c_0_164_165,axiom,
! [X80,X55,X41,X37,X3] :
( c_in(c_Pair(X37,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X41,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X37,X41,X3,X3),X80,tc_prod(X3,X3)) ),
file('<stdin>',cls_converse__rtrancl__into__rtrancl_0) ).
fof(c_0_165_166,axiom,
! [X80,X55,X41,X37,X3] :
( c_in(c_Pair(X37,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X41,X55,X3,X3),X80,tc_prod(X3,X3))
| ~ c_in(c_Pair(X37,X41,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3)) ),
file('<stdin>',cls_rtrancl_Ortrancl__into__rtrancl_0) ).
fof(c_0_166_167,axiom,
! [X64,X71,X52,X9,X7,X42,X3] :
( hBOOL(hAPP(hAPP(X7,X9),X71))
| ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
file('<stdin>',cls_list__all2__Cons_0) ).
fof(c_0_167_168,axiom,
! [X10,X13,X18,X7,X15,X57] :
( c_Decl_Ois__class(X7,X57,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(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WTrt__elim__cases_I6_J_3) ).
fof(c_0_168_169,axiom,
! [X10,X13,X18,X7,X15,X57] :
( X18 = c_Type_Oty_OClass(X57)
| ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WTrt__elim__cases_I6_J_0) ).
fof(c_0_169_170,axiom,
! [X19,X68,X69,X60,X7] :
( X60 = 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)),X69,X60,X68) ),
file('<stdin>',cls_eval__cases_I1_J_0) ).
fof(c_0_170_171,axiom,
! [X19,X68,X69,X60,X7] :
( X68 = X69
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X69,X60,X68) ),
file('<stdin>',cls_eval__cases_I1_J_1) ).
fof(c_0_171_172,axiom,
! [X64,X52,X3] :
( X52 = X64
| ~ c_List_Olist__all2(c_fequal(X3),X52,X64,X3,X3) ),
file('<stdin>',cls_list__all2__eq_1) ).
fof(c_0_172_173,axiom,
! [X50,X51,X42,X3] :
( c_Map_Omap__add(X51,X50,X3,X42) = c_Map_Omap__add(X50,X51,X3,X42)
| ~ c_Map_Omap__le(X51,c_Map_Omap__add(X51,X50,X3,X42),X3,X42) ),
file('<stdin>',cls_map__le__iff__map__add__commute_0) ).
fof(c_0_173_174,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_174_175,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_175_176,axiom,
! [X50,X51,X42,X3] :
( c_Map_Omap__add(X51,X50,X3,X42) != c_Map_Omap__add(X50,X51,X3,X42)
| c_Map_Omap__le(X51,c_Map_Omap__add(X51,X50,X3,X42),X3,X42) ),
file('<stdin>',cls_map__le__iff__map__add__commute_1) ).
fof(c_0_176_177,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_177_178,axiom,
! [X10,X50,X51,X42,X3] :
( c_Map_Omap__le(X50,X10,X3,X42)
| ~ c_Map_Omap__le(c_Map_Omap__add(X51,X50,X3,X42),X10,X3,X42) ),
file('<stdin>',cls_map__add__le__mapE_0) ).
fof(c_0_178_179,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_179_180,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_180_181,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_181_182,axiom,
! [X61,X62,X63,X42,X3] :
( c_Map_Omap__le(X63,X61,X3,X42)
| ~ c_Map_Omap__le(X62,X61,X3,X42)
| ~ c_Map_Omap__le(X63,X62,X3,X42) ),
file('<stdin>',cls_map__le__trans_0) ).
fof(c_0_182_183,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_183_184,axiom,
! [X13,X55,X18,X7,X15] :
( c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
| ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WT__elim__cases_I3_J_1) ).
fof(c_0_184_185,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_185_186,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_186_187,axiom,
! [X50,X51,X42,X3] :
( X51 = X50
| ~ c_Map_Omap__le(X50,X51,X3,X42)
| ~ c_Map_Omap__le(X51,X50,X3,X42) ),
file('<stdin>',cls_map__le__antisym_0) ).
fof(c_0_187_188,axiom,
! [X87,X88,X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OBlock(X37,X88,X77,X3) != c_Expr_Oexp_OBlock(X36,X87,X76,X3)
| X77 = X76 ),
file('<stdin>',cls_exp_Osimps_I10_J_2) ).
fof(c_0_188_189,axiom,
! [X87,X88,X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OBlock(X37,X88,X77,X3) != c_Expr_Oexp_OBlock(X36,X87,X76,X3)
| X88 = X87 ),
file('<stdin>',cls_exp_Osimps_I10_J_1) ).
fof(c_0_189_190,axiom,
! [X87,X88,X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OBlock(X37,X88,X77,X3) != c_Expr_Oexp_OBlock(X36,X87,X76,X3)
| X37 = X36 ),
file('<stdin>',cls_exp_Osimps_I10_J_0) ).
fof(c_0_190_191,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OCall(X77,X75,X73,X3) != c_Expr_Oexp_OCall(X76,X74,X72,X3)
| X77 = X76 ),
file('<stdin>',cls_exp_Osimps_I9_J_0) ).
fof(c_0_191_192,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OCall(X77,X75,X73,X3) != c_Expr_Oexp_OCall(X76,X74,X72,X3)
| X75 = X74 ),
file('<stdin>',cls_exp_Osimps_I9_J_1) ).
fof(c_0_192_193,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OCall(X77,X75,X73,X3) != c_Expr_Oexp_OCall(X76,X74,X72,X3)
| X73 = X72 ),
file('<stdin>',cls_exp_Osimps_I9_J_2) ).
fof(c_0_193_194,axiom,
! [X32,X33,X34,X35,X78,X70,X3] :
( c_Expr_Oexp_OBinOp(X35,X70,X33,X3) != c_Expr_Oexp_OBinOp(X34,X78,X32,X3)
| X35 = X34 ),
file('<stdin>',cls_exp_Osimps_I4_J_0) ).
fof(c_0_194_195,axiom,
! [X32,X33,X34,X35,X78,X70,X3] :
( c_Expr_Oexp_OBinOp(X35,X70,X33,X3) != c_Expr_Oexp_OBinOp(X34,X78,X32,X3)
| X70 = X78 ),
file('<stdin>',cls_exp_Osimps_I4_J_1) ).
fof(c_0_195_196,axiom,
! [X32,X33,X34,X35,X78,X70,X3] :
( c_Expr_Oexp_OBinOp(X35,X70,X33,X3) != c_Expr_Oexp_OBinOp(X34,X78,X32,X3)
| X33 = X32 ),
file('<stdin>',cls_exp_Osimps_I4_J_2) ).
fof(c_0_196_197,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OFAcc(X77,X75,X73,X3) != c_Expr_Oexp_OFAcc(X76,X74,X72,X3)
| X77 = X76 ),
file('<stdin>',cls_exp_Osimps_I7_J_0) ).
fof(c_0_197_198,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OFAcc(X77,X75,X73,X3) != c_Expr_Oexp_OFAcc(X76,X74,X72,X3)
| X75 = X74 ),
file('<stdin>',cls_exp_Osimps_I7_J_1) ).
fof(c_0_198_199,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OFAcc(X77,X75,X73,X3) != c_Expr_Oexp_OFAcc(X76,X74,X72,X3)
| X73 = X72 ),
file('<stdin>',cls_exp_Osimps_I7_J_2) ).
fof(c_0_199_200,axiom,
! [X40,X41,X36,X37,X42,X3] :
( c_Pair(X37,X41,X3,X42) != c_Pair(X36,X40,X3,X42)
| X37 = X36 ),
file('<stdin>',cls_Pair__eq_0) ).
fof(c_0_200_201,axiom,
! [X40,X41,X36,X37,X42,X3] :
( c_Pair(X37,X41,X3,X42) != c_Pair(X36,X40,X3,X42)
| X41 = X40 ),
file('<stdin>',cls_Pair__eq_1) ).
fof(c_0_201_202,axiom,
! [X38,X39,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OCond(X35,X33,X39,X3) != c_Expr_Oexp_OCond(X34,X32,X38,X3)
| X39 = X38 ),
file('<stdin>',cls_exp_Osimps_I12_J_2) ).
fof(c_0_202_203,axiom,
! [X38,X39,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OCond(X35,X33,X39,X3) != c_Expr_Oexp_OCond(X34,X32,X38,X3)
| X33 = X32 ),
file('<stdin>',cls_exp_Osimps_I12_J_1) ).
fof(c_0_203_204,axiom,
! [X38,X39,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OCond(X35,X33,X39,X3) != c_Expr_Oexp_OCond(X34,X32,X38,X3)
| X35 = X34 ),
file('<stdin>',cls_exp_Osimps_I12_J_0) ).
fof(c_0_204_205,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_205_206,axiom,
! [X13,X18,X7,X15,X57] :
( c_Decl_Ois__class(X7,X57,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(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WT__elim__cases_I6_J_2) ).
fof(c_0_206_207,axiom,
! [X13,X18,X7,X15,X57] :
( X18 = c_Type_Oty_OClass(X57)
| ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCast(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
file('<stdin>',cls_WT__elim__cases_I6_J_0) ).
fof(c_0_207_208,axiom,
! [X80,X81,X3] :
( c_in(X81,c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(X81,X80,tc_prod(X3,X3)) ),
file('<stdin>',cls_r__into__rtrancl_0) ).
fof(c_0_208_209,axiom,
! [X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OLAss(X37,X77,X3) != c_Expr_Oexp_OLAss(X36,X76,X3)
| X77 = X76 ),
file('<stdin>',cls_exp_Osimps_I6_J_1) ).
fof(c_0_209_210,axiom,
! [X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OLAss(X37,X77,X3) != c_Expr_Oexp_OLAss(X36,X76,X3)
| X37 = X36 ),
file('<stdin>',cls_exp_Osimps_I6_J_0) ).
fof(c_0_210_211,axiom,
! [X30,X31,X76,X77,X3] :
( c_Expr_Oexp_OCast(X31,X77,X3) != c_Expr_Oexp_OCast(X30,X76,X3)
| X31 = X30 ),
file('<stdin>',cls_exp_Osimps_I2_J_0) ).
fof(c_0_211_212,axiom,
! [X30,X31,X76,X77,X3] :
( c_Expr_Oexp_OCast(X31,X77,X3) != c_Expr_Oexp_OCast(X30,X76,X3)
| X77 = X76 ),
file('<stdin>',cls_exp_Osimps_I2_J_1) ).
fof(c_0_212_213,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_213_214,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_214_215,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_215_216,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_216_217,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_217_218,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_218_219,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_219_220,axiom,
! [X9,X22,X3] :
( hBOOL(hAPP(X22,X9))
| ~ c_in(X9,X22,X3) ),
file('<stdin>',cls_mem__def_0) ).
fof(c_0_220_221,axiom,
! [X9,X22,X3] :
( c_in(X9,X22,X3)
| ~ hBOOL(hAPP(X22,X9)) ),
file('<stdin>',cls_mem__def_1) ).
fof(c_0_221_222,axiom,
! [X65,X17,X10] :
( c_Objects_Ohext(X10,X65)
| ~ c_Objects_Ohext(X17,X65)
| ~ c_Objects_Ohext(X10,X17) ),
file('<stdin>',cls_hext__trans_0) ).
fof(c_0_222_223,axiom,
! [X76,X77,X3] :
( c_Expr_Oexp_Othrow(X77,X3) != c_Expr_Oexp_Othrow(X76,X3)
| X77 = X76 ),
file('<stdin>',cls_exp_Osimps_I14_J_0) ).
fof(c_0_223_224,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_224_225,axiom,
! [X92,X93] :
( c_Value_Oval_OAddr(X93) != c_Value_Oval_OAddr(X92)
| X93 = X92 ),
file('<stdin>',cls_val_Osimps_I3_J_0) ).
fof(c_0_225_226,axiom,
! [X30,X31] :
( c_Type_Oty_OClass(X31) != c_Type_Oty_OClass(X30)
| X31 = X30 ),
file('<stdin>',cls_ty_Oinject_0) ).
fof(c_0_226_227,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_227_228,plain,
! [X49,X90,X45,X46,X47,X13,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,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)))),c_Pair(X13,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X13,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X55,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)))),c_Pair(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,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_OVal(c_Value_Oval_OBool(c_True),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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_228_229,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_2]) ).
fof(c_0_229_230,plain,
! [X19,X45,X46,X47,X11,X12,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X12,X56,X57,X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(X19,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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_230_231,plain,
! [X49,X45,X46,X47,X11,X12,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X12,X70,X11,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(X49,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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_231_232,plain,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(c_Value_Oval_OBool(c_True),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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_232_233,plain,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X60,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(c_Value_Oval_OBool(c_False),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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_233_234,plain,
! [X45,X46,X47,X13,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X55,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)))),c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,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_OVal(c_Value_Oval_OBool(c_True),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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_234_235,plain,
! [X49,X45,X46,X47,X79,X11,X12,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X12,X11,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)))),c_Pair(X79,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X79,X45,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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_OVal(X49,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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_235_236,plain,
! [X58,X83,X59,X17,X10,X60,X13,X7] :
( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X83,X59,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(X60,c_Pair(X17,c_Map_Omap__add(X83,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_236_237,plain,
! [X58,X83,X59,X17,X10,X60,X13,X7] :
( c_in(c_Pair(c_Pair(X13,c_Pair(X10,c_Map_Omap__add(X83,X59,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(X60,c_Pair(X17,c_Map_Omap__add(X83,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_10]) ).
fof(c_0_237_238,plain,
! [X19,X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X56,X57,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_238_239,plain,
! [X68,X69,X60,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)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_239_240,plain,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_240_241,plain,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_241_242,plain,
! [X19,X68,X69,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)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_242_243,plain,
! [X19,X68,X69,X60,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X70,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X70,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_243_244,plain,
! [X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_244_245,plain,
! [X68,X69,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X12,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_245_246,plain,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X70,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_246_247,plain,
! [X68,X69,X67,X60,X13,X7,X82] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X82,X67,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X82,X67,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_247_248,plain,
! [X46,X89,X67,X13,X37,X7,X82] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X82,X67,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)))),c_Pair(c_Expr_Oexp_Othrow(X37,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(X13,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(c_Expr_Oexp_Othrow(X37,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)))))) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_248_249,plain,
! [X68,X69,X13,X37,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_249_250,plain,
! [X68,X69,X11,X12,X13,X37,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_250_251,plain,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_251_252,plain,
! [X68,X69,X60,X11,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_252_253,plain,
! [X68,X69,X60,X13,X23,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_253_254,plain,
! [X68,X69,X60,X13,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_254_255,plain,
! [X68,X69,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OUnit,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_255_256,plain,
! [X68,X69,X13,X37,X23,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_256_257,plain,
! [X68,X69,X13,X37,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_257_258,plain,
! [X68,X69,X60,X11,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_31]) ).
fof(c_0_258_259,plain,
! [X68,X69,X13,X55,X41,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X41,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_32]) ).
fof(c_0_259_260,plain,
! [X68,X69,X13,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_33]) ).
fof(c_0_260_261,plain,
! [X68,X69,X13,X37,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_34]) ).
fof(c_0_261_262,plain,
! [X68,X69,X60,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_35]) ).
fof(c_0_262_263,plain,
! [X19,X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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)),X56,X57,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_263_264,plain,
! [X68,X69,X60,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)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_264_265,plain,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_265_266,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_39]) ).
fof(c_0_266_267,plain,
! [X49,X68,X69,X60,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X70,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X49,tc_List_Olist(tc_String_Ochar)),X70,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_267_268,plain,
! [X68,X69,X67,X60,X13,X7,X82] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X13,X82,X67,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X82,X67,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_268_269,plain,
! [X68,X69,X60,X11,X12,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X12,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_269_270,plain,
! [X68,X69,X60,X13,X7,X56,X57] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X56,X57,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_270_271,plain,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X70,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_44]) ).
fof(c_0_271_272,plain,
! [X68,X69,X60,X13,X23,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_45]) ).
fof(c_0_272_273,plain,
! [X68,X69,X60,X13,X7,X24] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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,X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_273_274,plain,
! [X68,X69,X60,X11,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X60,X11,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_47]) ).
fof(c_0_274_275,plain,
! [X68,X69,X60,X13,X7] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_48]) ).
fof(c_0_275_276,plain,
! [X19,X10,X13,X18,X7,X56,X15,X57] :
( 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(X57,X15,X56,X7,X13,X10,X19)))
| ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAss(X13,X56,X57,X19,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_276_277,plain,
! [X58,X59,X17,X10,X60,X13,X18,X7,X15] :
( c_Conform_Olconf(X7,X17,X58,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,X59,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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_277_278,plain,
! [X10,X13,X18,X7,X56,X15,X57] :
( 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__7__1(X57,X15,X56,X7,X18,X13,X10)))
| ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_278_279,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_52]) ).
fof(c_0_279_280,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_53]) ).
fof(c_0_280_281,plain,
! [X58,X59,X17,X10,X60,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,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_54]) ).
fof(c_0_281_282,plain,
! [X58,X59,X17,X10,X60,X13,X7] :
( c_Objects_Ohext(X10,X17)
| ~ c_in(c_Pair(c_Pair(X13,c_Pair(X10,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X60,c_Pair(X17,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_55]) ).
fof(c_0_282_283,plain,
! [X68,X69,X60,X13,X18,X7,X15] :
( c_TypeSafe__Mirabelle_Osconf(X7,X15,X68)
| ~ c_TypeSafe__Mirabelle_Osconf(X7,X15,X69)
| ~ c_WellTypeRT_OWTrt(X7,c_State_Ohp(X69),X15,X13,X18)
| ~ c_in(c_Pair(c_Pair(X13,X69,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X60,X68,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_56]) ).
fof(c_0_283_284,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_57]) ).
fof(c_0_284_285,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_58]) ).
fof(c_0_285_286,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_59]) ).
fof(c_0_286_287,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_60]) ).
fof(c_0_287_288,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_61]) ).
fof(c_0_288_289,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_62]) ).
fof(c_0_289_290,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_63]) ).
fof(c_0_290_291,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_64]) ).
fof(c_0_291_292,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_65]) ).
fof(c_0_292_293,plain,
! [X58,X59,X17,X10,X66,X67,X7] :
( c_Objects_Ohext(X10,X17)
| ~ c_BigStep_Oevals(X7,X67,c_Pair(X10,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X66,c_Pair(X17,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)))) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_293_294,plain,
! [X58,X59,X17,X10,X60,X13,X7] :
( c_Objects_Ohext(X10,X17)
| ~ c_BigStep_Oeval(X7,X13,c_Pair(X10,X59,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X60,c_Pair(X17,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)))) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_294_295,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_68]) ).
fof(c_0_295_296,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_69]) ).
fof(c_0_296_297,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_70]) ).
fof(c_0_297_298,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_71]) ).
fof(c_0_298_299,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_72]) ).
fof(c_0_299_300,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_73]) ).
fof(c_0_300_301,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_74]) ).
fof(c_0_301_302,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_75]) ).
fof(c_0_302_303,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_76]) ).
fof(c_0_303_304,plain,
! [X19,X68,X69,X60,X13,X7,X56,X57] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X56,X57,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_304_305,plain,
! [X68,X69,X60,X11,X13,X7,X56,X57] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAss(X13,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OFAss(X60,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_305_306,plain,
! [X68,X69,X60,X11,X13,X23,X7,X24] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OTryCatch(X13,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OTryCatch(X60,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_306_307,plain,
! [X19,X45,X46,X47,X60,X11,X12,X7,X56,X57] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X11,X46,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_307_308,plain,
! [X49,X90,X45,X46,X47,X91,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,X91,X90)
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X45,X91,X90)
| ~ c_BigStep_Oeval(X7,X55,X46,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_308_309,plain,
! [X69,X80,X40,X41,X36,X37,X42,X3] :
( c_in(c_Pair(X41,X40,X42,X42),X69,tc_prod(X42,X42))
| c_in(c_Pair(X37,X36,X3,X3),X80,tc_prod(X3,X3))
| ~ c_in(c_Pair(c_Pair(X37,X41,X3,X42),c_Pair(X36,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42))) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_309_310,plain,
! [X43,X10,X44,X7,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X7,X44,X10,X43,X3),X44,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X44,tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_310_311,plain,
! [X69,X80,X40,X41,X36,X37,X42,X3] :
( X37 = X36
| c_in(c_Pair(X37,X36,X3,X3),X80,tc_prod(X3,X3))
| ~ c_in(c_Pair(c_Pair(X37,X41,X3,X42),c_Pair(X36,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42))) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_311_312,plain,
! [X49,X45,X46,X47,X11,X12,X13,X70,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X70,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X11,X46,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_312_313,plain,
! [X46,X47,X60,X11,X12,X7,X56,X57] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAss(X12,X56,X57,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_313_314,plain,
! [X49,X46,X47,X11,X12,X23,X7,X24] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OTryCatch(X12,X24,X23,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_314_315,plain,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X47,X60,X45)
| ~ c_BigStep_Oeval(X7,X12,X46,X60,X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_315_316,plain,
! [X45,X46,X47,X60,X11,X12,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X47,X60,X45)
| ~ c_BigStep_Oeval(X7,X11,X46,X60,X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_316_317,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_90]) ).
fof(c_0_317_318,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_91]) ).
fof(c_0_318_319,plain,
! [X43,X10,X44,X5,X7,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X44,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X5,X44,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X5,tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_319_320,plain,
! [X45,X46,X47,X60,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X55,X46,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X45)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_320_321,plain,
! [X19,X45,X46,X47,X11,X12,X48,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X48,X12,tc_List_Olist(tc_String_Ochar)),X47,X11,X45)
| ~ c_BigStep_Oeval(X7,X12,X46,X11,X45)
| ~ c_BigStep_Oeval(X7,X48,X47,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_321_322,plain,
! [X68,X69,X60,X55,X41,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,X60,X68)
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X41,c_Expr_Oexp_OSeq(X55,c_Expr_Oexp_OWhile(X41,X55,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)),X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_322_323,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_96]) ).
fof(c_0_323_324,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_97]) ).
fof(c_0_324_325,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_98]) ).
fof(c_0_325_326,plain,
! [X68,X69,X60,X55,X41,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X41,c_Expr_Oexp_OSeq(X55,c_Expr_Oexp_OWhile(X41,X55,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)),X69,X60,X68)
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X41,X55,tc_List_Olist(tc_String_Ochar)),X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_326_327,plain,
! [X64,X71,X52,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X52,X64,X3,X42)
| ~ c_in(c_Pair(X9,X71,X3,X42),X22,tc_prod(X3,X42)) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_327_328,plain,
! [X52,X53,X54,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X54,X53,X42),X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X52,X53,X3,X42)
| ~ c_in(c_Pair(X9,X54,X3,X42),X22,tc_prod(X3,X42)) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_328_329,plain,
! [X64,X71,X54,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X54,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X54,X64,X3,X42)
| ~ c_in(c_Pair(X9,X71,X3,X42),X22,tc_prod(X3,X42)) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_329_330,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_103]) ).
fof(c_0_330_331,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_104]) ).
fof(c_0_331_332,plain,
! [X84,X71,X9,X85,X7,X42,X3] :
( c_in(c_Pair(c_Pair(X9,X84,X3,X42),c_Pair(X9,X71,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Recdef_Osame__fst(X7,X85,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42)))
| ~ c_in(c_Pair(X84,X71,X42,X42),hAPP(X85,X9),tc_prod(X42,X42))
| ~ hBOOL(hAPP(X7,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_332_333,plain,
! [X49,X68,X69,X60,X13,X70,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X70,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X70,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_333_334,plain,
! [X69,X80,X40,X41,X36,X37,X42,X3] :
( c_in(c_Pair(c_Pair(X37,X41,X3,X42),c_Pair(X36,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42)))
| ~ c_in(c_Pair(X37,X36,X3,X3),X80,tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_334_335,plain,
! [X9,X69,X80,X40,X41,X42,X3] :
( c_in(c_Pair(c_Pair(X9,X41,X3,X42),c_Pair(X9,X40,X3,X42),tc_prod(X3,X42),tc_prod(X3,X42)),c_Wellfounded_Olex__prod(X80,X69,X3,X42),tc_prod(tc_prod(X3,X42),tc_prod(X3,X42)))
| ~ c_in(c_Pair(X41,X40,X42,X42),X69,tc_prod(X42,X42)) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_335_336,plain,
! [X68,X69,X67,X60,X13,X7,X82] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCall(X13,X82,X67,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OCall(X60,X82,X67,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_336_337,plain,
! [X68,X69,X60,X11,X13,X70,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OBinOp(X13,X70,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OBinOp(X60,X70,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_337_338,plain,
! [X68,X69,X60,X11,X12,X13,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OCond(X60,X12,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_338_339,plain,
! [X68,X69,X60,X13,X7,X56,X57] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OFAcc(X60,X56,X57,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_339_340,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_113]) ).
fof(c_0_340_341,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_114]) ).
fof(c_0_341_342,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_115]) ).
fof(c_0_342_343,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_116]) ).
fof(c_0_343_344,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_117]) ).
fof(c_0_344_345,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X35 = X34 ),
c_0_118 ).
fof(c_0_345_346,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X75 = X74 ),
c_0_119 ).
fof(c_0_346_347,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X73 = X72 ),
c_0_120 ).
fof(c_0_347_348,axiom,
! [X72,X73,X74,X75,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OFAss(X35,X75,X73,X33,X3) != c_Expr_Oexp_OFAss(X34,X74,X72,X32,X3)
| X33 = X32 ),
c_0_121 ).
fof(c_0_348_349,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_122 ).
fof(c_0_349_350,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_123 ).
fof(c_0_350_351,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_124 ).
fof(c_0_351_352,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_125 ).
fof(c_0_352_353,plain,
! [X64,X71,X52,X9,X22,X42,X3] :
( c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),X52,X64,X3,X42)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_353_354,plain,
! [X46,X47,X60,X13,X7,X56,X57] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OFAcc(X13,X56,X57,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_354_355,plain,
! [X46,X47,X86,X60,X13,X7,X82] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCall(X13,X82,X86,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_355_356,plain,
! [X46,X47,X60,X11,X12,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCond(X13,X12,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_356_357,plain,
! [X46,X47,X11,X12,X13,X70,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OBinOp(X12,X70,X11,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X12,X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_357_358,plain,
! [X52,X53,X54,X9,X7,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),c_List_Olist_OCons(X9,X52,tc_Type_Oty),c_List_Olist_OCons(X54,X53,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X7,X3),X52,X53,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X7,X3),X9),X54)) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_358_359,plain,
! [X10,X13,X18,X7,X56,X15,X57] :
( c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X56,X57,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_132]) ).
fof(c_0_359_360,plain,
! [X10,X13,X18,X7,X56,X15,X57] :
( c_Progress_OWTrt_H(X7,X10,X15,c_Expr_Oexp_OFAcc(X13,X56,X57,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_133]) ).
fof(c_0_360_361,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_134]) ).
fof(c_0_361_362,plain,
! [X64,X71,X54,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X54,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(X7,X54,X64,X3,X42)
| ~ hBOOL(hAPP(hAPP(X7,X9),X71)) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_362_363,plain,
! [X52,X53,X54,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X54,X53,X42),X3,X42)
| ~ c_List_Olist__all2(X7,X52,X53,X3,X42)
| ~ hBOOL(hAPP(hAPP(X7,X9),X54)) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_363_364,plain,
! [X64,X71,X52,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42)
| ~ c_List_Olist__all2(X7,X52,X64,X3,X42)
| ~ hBOOL(hAPP(hAPP(X7,X9),X71)) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_364_365,plain,
! [X64,X71,X52,X9,X7,X42,X3] :
( c_List_Olist__all2(X7,X52,X64,X3,X42)
| ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_365_366,plain,
! [X43,X17,X10,X5,X7,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X7,X17,X3),X43,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X10,X17)
| ~ c_List_Olist__all2(c_Conform_Oconf(X7,X10,X3),X43,X5,tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_366_367,plain,
! [X68,X69,X60,X13,X23,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OLAss(X23,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_367_368,plain,
! [X68,X69,X60,X13,X7,X24] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OCast(X24,X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_368_369,plain,
! [X68,X69,X60,X11,X13,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_OSeq(X13,X11,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_OSeq(X60,X11,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_369_370,plain,
! [X46,X47,X13,X37,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X37),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X37),tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_370_371,plain,
! [X46,X47,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_371_372,plain,
! [X46,X47,X12,X48,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OSeq(X48,X12,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X48,X47,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_372_373,plain,
! [X46,X47,X60,X13,X23,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OLAss(X23,X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_373_374,plain,
! [X46,X47,X60,X13,X55,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_374_375,plain,
! [X46,X47,X60,X13,X7,X24] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_375_376,plain,
! [X46,X47,X13,X7,X24] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_OCast(X24,X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_376_377,plain,
! [X10,X13,X55,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,X55,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_377_378,plain,
! [X46,X47,X60,X13,X7] :
( c_BigStep_Oeval(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46)
| ~ c_BigStep_Oeval(X7,X13,X47,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X46) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_378_379,plain,
! [X68,X69,X60,X13,X7] :
( c_SmallStep_Oredp(X7,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X69,c_Expr_Oexp_Othrow(X60,tc_List_Olist(tc_String_Ochar)),X68)
| ~ c_SmallStep_Oredp(X7,X13,X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_379_380,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_153]) ).
fof(c_0_380_381,plain,
! [X59,X17,X10,X7,X15,X3] :
( c_Conform_Olconf(X7,X17,X59,X15,X3)
| ~ c_Objects_Ohext(X10,X17)
| ~ c_Conform_Olconf(X7,X10,X59,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_381_382,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_155]) ).
fof(c_0_382_383,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_156]) ).
fof(c_0_383_384,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_157]) ).
fof(c_0_384_385,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_158]) ).
fof(c_0_385_386,plain,
! [X64,X71,X52,X9,X22,X42,X3] :
( c_in(c_Pair(X9,X71,X3,X42),X22,tc_prod(X3,X42))
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X22,X3,X42),c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_386_387,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_160]) ).
fof(c_0_387_388,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_161]) ).
fof(c_0_388_389,plain,
! [X10,X50,X51,X42,X3] :
( c_Map_Omap__le(c_Map_Omap__add(X51,X50,X3,X42),X10,X3,X42)
| ~ c_Map_Omap__le(X51,c_Map_Omap__add(X51,X50,X3,X42),X3,X42)
| ~ c_Map_Omap__le(X50,X10,X3,X42)
| ~ c_Map_Omap__le(X51,X10,X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_389_390,plain,
! [X80,X55,X41,X37,X3] :
( c_in(c_Pair(X37,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X41,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X37,X41,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_390_391,plain,
! [X80,X55,X41,X37,X3] :
( c_in(c_Pair(X37,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X41,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X37,X41,X3,X3),X80,tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_391_392,plain,
! [X80,X55,X41,X37,X3] :
( c_in(c_Pair(X37,X55,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(c_Pair(X41,X55,X3,X3),X80,tc_prod(X3,X3))
| ~ c_in(c_Pair(X37,X41,X3,X3),c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_392_393,plain,
! [X64,X71,X52,X9,X7,X42,X3] :
( hBOOL(hAPP(hAPP(X7,X9),X71))
| ~ c_List_Olist__all2(X7,c_List_Olist_OCons(X9,X52,X3),c_List_Olist_OCons(X71,X64,X42),X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_393_394,plain,
! [X10,X13,X18,X7,X15,X57] :
( c_Decl_Ois__class(X7,X57,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(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_394_395,plain,
! [X10,X13,X18,X7,X15,X57] :
( X18 = c_Type_Oty_OClass(X57)
| ~ c_WellTypeRT_OWTrt(X7,X10,X15,c_Expr_Oexp_OCast(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_395_396,plain,
! [X19,X68,X69,X60,X7] :
( X60 = 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)),X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_396_397,plain,
! [X19,X68,X69,X60,X7] :
( X68 = X69
| ~ c_BigStep_Oeval(X7,c_Expr_Oexp_OVal(X19,tc_List_Olist(tc_String_Ochar)),X69,X60,X68) ),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_397_398,plain,
! [X64,X52,X3] :
( X52 = X64
| ~ c_List_Olist__all2(c_fequal(X3),X52,X64,X3,X3) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_398_399,plain,
! [X50,X51,X42,X3] :
( c_Map_Omap__add(X51,X50,X3,X42) = c_Map_Omap__add(X50,X51,X3,X42)
| ~ c_Map_Omap__le(X51,c_Map_Omap__add(X51,X50,X3,X42),X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_399_400,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_173]) ).
fof(c_0_400_401,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_174]) ).
fof(c_0_401_402,axiom,
! [X50,X51,X42,X3] :
( c_Map_Omap__add(X51,X50,X3,X42) != c_Map_Omap__add(X50,X51,X3,X42)
| c_Map_Omap__le(X51,c_Map_Omap__add(X51,X50,X3,X42),X3,X42) ),
c_0_175 ).
fof(c_0_402_403,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_176]) ).
fof(c_0_403_404,plain,
! [X10,X50,X51,X42,X3] :
( c_Map_Omap__le(X50,X10,X3,X42)
| ~ c_Map_Omap__le(c_Map_Omap__add(X51,X50,X3,X42),X10,X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_404_405,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_178]) ).
fof(c_0_405_406,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_179]) ).
fof(c_0_406_407,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_180]) ).
fof(c_0_407_408,plain,
! [X61,X62,X63,X42,X3] :
( c_Map_Omap__le(X63,X61,X3,X42)
| ~ c_Map_Omap__le(X62,X61,X3,X42)
| ~ c_Map_Omap__le(X63,X62,X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_408_409,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_182]) ).
fof(c_0_409_410,plain,
! [X13,X55,X18,X7,X15] :
( c_WellType_OWT(X7,X15,X13,c_Type_Oty_OBoolean)
| ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OWhile(X13,X55,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_410_411,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_184]) ).
fof(c_0_411_412,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_185]) ).
fof(c_0_412_413,plain,
! [X50,X51,X42,X3] :
( X51 = X50
| ~ c_Map_Omap__le(X50,X51,X3,X42)
| ~ c_Map_Omap__le(X51,X50,X3,X42) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_413_414,axiom,
! [X87,X88,X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OBlock(X37,X88,X77,X3) != c_Expr_Oexp_OBlock(X36,X87,X76,X3)
| X77 = X76 ),
c_0_187 ).
fof(c_0_414_415,axiom,
! [X87,X88,X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OBlock(X37,X88,X77,X3) != c_Expr_Oexp_OBlock(X36,X87,X76,X3)
| X88 = X87 ),
c_0_188 ).
fof(c_0_415_416,axiom,
! [X87,X88,X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OBlock(X37,X88,X77,X3) != c_Expr_Oexp_OBlock(X36,X87,X76,X3)
| X37 = X36 ),
c_0_189 ).
fof(c_0_416_417,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OCall(X77,X75,X73,X3) != c_Expr_Oexp_OCall(X76,X74,X72,X3)
| X77 = X76 ),
c_0_190 ).
fof(c_0_417_418,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OCall(X77,X75,X73,X3) != c_Expr_Oexp_OCall(X76,X74,X72,X3)
| X75 = X74 ),
c_0_191 ).
fof(c_0_418_419,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OCall(X77,X75,X73,X3) != c_Expr_Oexp_OCall(X76,X74,X72,X3)
| X73 = X72 ),
c_0_192 ).
fof(c_0_419_420,axiom,
! [X32,X33,X34,X35,X78,X70,X3] :
( c_Expr_Oexp_OBinOp(X35,X70,X33,X3) != c_Expr_Oexp_OBinOp(X34,X78,X32,X3)
| X35 = X34 ),
c_0_193 ).
fof(c_0_420_421,axiom,
! [X32,X33,X34,X35,X78,X70,X3] :
( c_Expr_Oexp_OBinOp(X35,X70,X33,X3) != c_Expr_Oexp_OBinOp(X34,X78,X32,X3)
| X70 = X78 ),
c_0_194 ).
fof(c_0_421_422,axiom,
! [X32,X33,X34,X35,X78,X70,X3] :
( c_Expr_Oexp_OBinOp(X35,X70,X33,X3) != c_Expr_Oexp_OBinOp(X34,X78,X32,X3)
| X33 = X32 ),
c_0_195 ).
fof(c_0_422_423,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OFAcc(X77,X75,X73,X3) != c_Expr_Oexp_OFAcc(X76,X74,X72,X3)
| X77 = X76 ),
c_0_196 ).
fof(c_0_423_424,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OFAcc(X77,X75,X73,X3) != c_Expr_Oexp_OFAcc(X76,X74,X72,X3)
| X75 = X74 ),
c_0_197 ).
fof(c_0_424_425,axiom,
! [X72,X73,X74,X75,X76,X77,X3] :
( c_Expr_Oexp_OFAcc(X77,X75,X73,X3) != c_Expr_Oexp_OFAcc(X76,X74,X72,X3)
| X73 = X72 ),
c_0_198 ).
fof(c_0_425_426,axiom,
! [X40,X41,X36,X37,X42,X3] :
( c_Pair(X37,X41,X3,X42) != c_Pair(X36,X40,X3,X42)
| X37 = X36 ),
c_0_199 ).
fof(c_0_426_427,axiom,
! [X40,X41,X36,X37,X42,X3] :
( c_Pair(X37,X41,X3,X42) != c_Pair(X36,X40,X3,X42)
| X41 = X40 ),
c_0_200 ).
fof(c_0_427_428,axiom,
! [X38,X39,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OCond(X35,X33,X39,X3) != c_Expr_Oexp_OCond(X34,X32,X38,X3)
| X39 = X38 ),
c_0_201 ).
fof(c_0_428_429,axiom,
! [X38,X39,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OCond(X35,X33,X39,X3) != c_Expr_Oexp_OCond(X34,X32,X38,X3)
| X33 = X32 ),
c_0_202 ).
fof(c_0_429_430,axiom,
! [X38,X39,X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OCond(X35,X33,X39,X3) != c_Expr_Oexp_OCond(X34,X32,X38,X3)
| X35 = X34 ),
c_0_203 ).
fof(c_0_430_431,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_204]) ).
fof(c_0_431_432,plain,
! [X13,X18,X7,X15,X57] :
( c_Decl_Ois__class(X7,X57,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(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_432_433,plain,
! [X13,X18,X7,X15,X57] :
( X18 = c_Type_Oty_OClass(X57)
| ~ c_WellType_OWT(X7,X15,c_Expr_Oexp_OCast(X57,X13,tc_List_Olist(tc_String_Ochar)),X18) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_433_434,plain,
! [X80,X81,X3] :
( c_in(X81,c_Transitive__Closure_Ortrancl(X80,X3),tc_prod(X3,X3))
| ~ c_in(X81,X80,tc_prod(X3,X3)) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_434_435,axiom,
! [X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OLAss(X37,X77,X3) != c_Expr_Oexp_OLAss(X36,X76,X3)
| X77 = X76 ),
c_0_208 ).
fof(c_0_435_436,axiom,
! [X76,X77,X36,X37,X3] :
( c_Expr_Oexp_OLAss(X37,X77,X3) != c_Expr_Oexp_OLAss(X36,X76,X3)
| X37 = X36 ),
c_0_209 ).
fof(c_0_436_437,axiom,
! [X30,X31,X76,X77,X3] :
( c_Expr_Oexp_OCast(X31,X77,X3) != c_Expr_Oexp_OCast(X30,X76,X3)
| X31 = X30 ),
c_0_210 ).
fof(c_0_437_438,axiom,
! [X30,X31,X76,X77,X3] :
( c_Expr_Oexp_OCast(X31,X77,X3) != c_Expr_Oexp_OCast(X30,X76,X3)
| X77 = X76 ),
c_0_211 ).
fof(c_0_438_439,axiom,
! [X30,X31,X36,X37,X3] :
( c_List_Olist_OCons(X37,X31,X3) != c_List_Olist_OCons(X36,X30,X3)
| X31 = X30 ),
c_0_212 ).
fof(c_0_439_440,axiom,
! [X30,X31,X36,X37,X3] :
( c_List_Olist_OCons(X37,X31,X3) != c_List_Olist_OCons(X36,X30,X3)
| X37 = X36 ),
c_0_213 ).
fof(c_0_440_441,axiom,
! [X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OWhile(X35,X33,X3) != c_Expr_Oexp_OWhile(X34,X32,X3)
| X35 = X34 ),
c_0_214 ).
fof(c_0_441_442,axiom,
! [X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OWhile(X35,X33,X3) != c_Expr_Oexp_OWhile(X34,X32,X3)
| X33 = X32 ),
c_0_215 ).
fof(c_0_442_443,axiom,
! [X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OSeq(X35,X33,X3) != c_Expr_Oexp_OSeq(X34,X32,X3)
| X33 = X32 ),
c_0_216 ).
fof(c_0_443_444,axiom,
! [X32,X33,X34,X35,X3] :
( c_Expr_Oexp_OSeq(X35,X33,X3) != c_Expr_Oexp_OSeq(X34,X32,X3)
| X35 = X34 ),
c_0_217 ).
fof(c_0_444_445,plain,
! [X1,X2,X3] :
( X2 = X1
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_445_446,plain,
! [X9,X22,X3] :
( hBOOL(hAPP(X22,X9))
| ~ c_in(X9,X22,X3) ),
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_446_447,plain,
! [X9,X22,X3] :
( c_in(X9,X22,X3)
| ~ hBOOL(hAPP(X22,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_447_448,plain,
! [X65,X17,X10] :
( c_Objects_Ohext(X10,X65)
| ~ c_Objects_Ohext(X17,X65)
| ~ c_Objects_Ohext(X10,X17) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_448_449,axiom,
! [X76,X77,X3] :
( c_Expr_Oexp_Othrow(X77,X3) != c_Expr_Oexp_Othrow(X76,X3)
| X77 = X76 ),
c_0_222 ).
fof(c_0_449_450,axiom,
! [X28,X29,X3] :
( c_Expr_Oexp_OVal(X29,X3) != c_Expr_Oexp_OVal(X28,X3)
| X29 = X28 ),
c_0_223 ).
fof(c_0_450_451,axiom,
! [X92,X93] :
( c_Value_Oval_OAddr(X93) != c_Value_Oval_OAddr(X92)
| X93 = X92 ),
c_0_224 ).
fof(c_0_451_452,axiom,
! [X30,X31] :
( c_Type_Oty_OClass(X31) != c_Type_Oty_OClass(X30)
| X31 = X30 ),
c_0_225 ).
fof(c_0_452_453,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_226]) ).
fof(c_0_453_454,plain,
! [X91,X92,X93,X94,X95,X96,X97,X98,X99] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X98,X97,tc_List_Olist(tc_String_Ochar)),X95,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X96,X92,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X99),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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(X98,X97,tc_List_Olist(tc_String_Ochar)),X93,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X96,X92,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X99),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X97,X94,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X91,tc_List_Olist(tc_String_Ochar)),X93,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X99),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X98,X95,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X94,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X99),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_227]) ).
fof(c_0_454_455,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_228]) ).
fof(c_0_455_456,plain,
! [X58,X59,X60,X61,X62,X63,X64,X65,X66,X67] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X63,X66,X67,X62,tc_List_Olist(tc_String_Ochar)),X61,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X64,tc_List_Olist(tc_String_Ochar)),X59,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X65),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X62,X60,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X64,tc_List_Olist(tc_String_Ochar)),X59,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X65),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X63,X61,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X58,tc_List_Olist(tc_String_Ochar)),X60,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X65),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_229])])]) ).
fof(c_0_456_457,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78,X79] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X76,X78,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_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(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(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(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(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(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(X71,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_230]) ).
fof(c_0_457_458,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X67,X66,X65,tc_List_Olist(tc_String_Ochar)),X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X61,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X68),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X66,X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X64,X61,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X68),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X67,X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X68),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_231]) ).
fof(c_0_458_459,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X67,X66,X65,tc_List_Olist(tc_String_Ochar)),X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X61,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X68),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X65,X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X64,X61,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X68),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X67,X63,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X68),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_232]) ).
fof(c_0_459_460,plain,
! [X56,X57,X58,X59,X60,X61,X62] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X61,X60,tc_List_Olist(tc_String_Ochar)),X58,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X59,tc_List_Olist(tc_String_Ochar)),X56,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X62),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X60,X57,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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)),X56,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X62),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X61,X58,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X57,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X62),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_233]) ).
fof(c_0_460_461,plain,
! [X80,X81,X82,X83,X84,X85,X86,X87] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X86,X85,tc_List_Olist(tc_String_Ochar)),X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X84,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X87),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X85,X82,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X84,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X87),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X86,X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X80,tc_List_Olist(tc_String_Ochar)),X82,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X87),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_234]) ).
fof(c_0_461_462,plain,
! [X84,X85,X86,X87,X88,X89,X90,X91] :
( c_in(c_Pair(c_Pair(X90,c_Pair(X88,c_Map_Omap__add(X85,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)))),c_Pair(X89,c_Pair(X87,c_Map_Omap__add(X85,X84,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(X91),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X90,c_Pair(X88,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)))),c_Pair(X89,c_Pair(X87,X84,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X91),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_235]) ).
fof(c_0_462_463,plain,
! [X84,X85,X86,X87,X88,X89,X90,X91] :
( c_in(c_Pair(c_Pair(X90,c_Pair(X88,c_Map_Omap__add(X85,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)))),c_Pair(X89,c_Pair(X87,c_Map_Omap__add(X85,X84,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(X91),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X90,c_Pair(X88,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)))),c_Pair(X89,c_Pair(X87,X84,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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(X91),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_236]) ).
fof(c_0_463_464,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X76,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)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X76,X77,X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_237])])]) ).
fof(c_0_464_465,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X74,X77,X75,X73,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(X72,X77,X75,X73,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(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,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(X72,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(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_238])])]) ).
fof(c_0_465_466,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X74,X76,X77,X73,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(X72,X76,X77,X73,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(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,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(X72,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(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_239])])]) ).
fof(c_0_466_467,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X74,X76,X77,X73,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(X72,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(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,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(X72,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(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_240])])]) ).
fof(c_0_467_468,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X74,X77,X75,X73,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)))),c_Pair(c_Expr_Oexp_OVal(X70,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(c_Expr_Oexp_OVal(X70,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_241])])]) ).
fof(c_0_468_469,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),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_OBinOp(c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),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_242]) ).
fof(c_0_469_470,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X73,X75,X76,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(X72,X75,X76,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_243])])]) ).
fof(c_0_470_471,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X75,X74,X73,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(X72,X74,X73,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(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,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(X72,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(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_244]) ).
fof(c_0_471_472,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X75,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)))),c_Pair(c_Expr_Oexp_OBinOp(X73,X76,X74,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_245]) ).
fof(c_0_472_473,plain,
! [X83,X84,X85,X86,X87,X88,X89] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X87,X89,X85,tc_List_Olist(tc_String_Ochar)),X84,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X86,X89,X85,tc_List_Olist(tc_String_Ochar)),X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X88),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X87,X84,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X88),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_246])])]) ).
fof(c_0_473_474,plain,
! [X90,X91,X92,X93,X94,X95,X96] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X93,X96,X92,tc_List_Olist(tc_String_Ochar)),X91,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X94,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X95),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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,X91,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X94,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X95),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_247])])]) ).
fof(c_0_474_475,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X72,X75,X76,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(X73,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X72,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(X73,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_248])])]) ).
fof(c_0_475_476,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X74,X73,X72,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(X75,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(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,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(X75,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(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_249]) ).
fof(c_0_476_477,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X75,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)))),c_Pair(c_Expr_Oexp_Othrow(X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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,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)))),c_Pair(c_Expr_Oexp_Othrow(X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_250]) ).
fof(c_0_477_478,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X74,X73,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(X72,X73,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(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,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(X72,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(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(variable_rename,[status(thm)],[c_0_251]) ).
fof(c_0_478_479,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X74,X73,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(X74,X72,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(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(X73,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(X72,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(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(variable_rename,[status(thm)],[c_0_252]) ).
fof(c_0_479_480,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X75,X73,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(X75,X72,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_253])])]) ).
fof(c_0_480_481,plain,
! [X70,X71,X72,X73,X74] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X73,X72,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_OUnit,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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_OBool(c_False),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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_254]) ).
fof(c_0_481_482,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X74,X72,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(X73,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(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(X72,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(X73,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(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(variable_rename,[status(thm)],[c_0_255]) ).
fof(c_0_482_483,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X75,X72,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(X73,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X72,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(X73,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_256])])]) ).
fof(c_0_483_484,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X74,X73,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(X72,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(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,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(X72,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(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(variable_rename,[status(thm)],[c_0_257]) ).
fof(c_0_484_485,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X74,X73,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(X72,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(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,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(X72,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(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(variable_rename,[status(thm)],[c_0_258]) ).
fof(c_0_485_486,plain,
! [X70,X71,X72,X73,X74] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X74,X72,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(X73),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X72,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(X73),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_259])])]) ).
fof(c_0_486_487,plain,
! [X70,X71,X72,X73,X74] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X72,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(X73,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X72,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(X73,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(variable_rename,[status(thm)],[c_0_260]) ).
fof(c_0_487_488,plain,
! [X70,X71,X72,X73,X74] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X73,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(X72,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X74),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(variable_rename,[status(thm)],[c_0_261]) ).
fof(c_0_488_489,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X76,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)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X76,X77,X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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,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)))),c_Pair(X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_262])])]) ).
fof(c_0_489_490,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X74,X77,X75,X73,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(X72,X77,X75,X73,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(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(X74,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(X72,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(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_263])])]) ).
fof(c_0_490_491,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X74,X76,X77,X73,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(X72,X76,X77,X73,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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,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(X72,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_264])])]) ).
fof(c_0_491_492,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_265]) ).
fof(c_0_492_493,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),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_OBinOp(c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),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_266]) ).
fof(c_0_493_494,plain,
! [X83,X84,X85,X86,X87,X88,X89] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X87,X89,X85,tc_List_Olist(tc_String_Ochar)),X84,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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(X86,X89,X85,tc_List_Olist(tc_String_Ochar)),X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X88),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X87,X84,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,X83,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X88),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_267])])]) ).
fof(c_0_494_495,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X75,X74,X73,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(X72,X74,X73,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(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,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(X72,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(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_268]) ).
fof(c_0_495_496,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X73,X75,X76,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(X72,X75,X76,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(X74),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X74),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_269])])]) ).
fof(c_0_496_497,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X75,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)))),c_Pair(c_Expr_Oexp_OBinOp(X73,X76,X74,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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,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)))),c_Pair(X73,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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_270]) ).
fof(c_0_497_498,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X74,X73,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(X74,X72,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_271]) ).
fof(c_0_498_499,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X75,X73,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(X75,X72,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(X74),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X74),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_272])])]) ).
fof(c_0_499_500,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X74,X73,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(X72,X73,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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,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(X72,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_500_501,plain,
! [X70,X71,X72,X73,X74] :
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X73,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(X72,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(X74),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X74),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_501_502,plain,
! [X58,X59,X60,X61,X62,X63,X64,X65] :
( c_WellTypeRT_OWTrt(X62,X59,X64,X60,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X62,X59,X64,X60,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X65,X64,X63,X62,X60,X59,X58)))
| ~ c_WellTypeRT_OWTrt(X62,X59,X64,c_Expr_Oexp_OFAss(X60,X63,X65,X58,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_275])])]) ).
fof(c_0_502_503,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68,X69] :
( c_Conform_Olconf(X68,X63,X61,X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Conform_Olconf(X68,X64,X62,X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X68,X64,X69,X66,X67)
| ~ c_in(c_Pair(c_Pair(X66,c_Pair(X64,X62,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X68),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_276]) ).
fof(c_0_503_504,plain,
! [X58,X59,X60,X61,X62,X63,X64] :
( c_WellTypeRT_OWTrt(X61,X58,X63,X59,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X61,X58,X63,X59,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X64,X63,X62,X61,X60,X59,X58)))
| ~ c_WellTypeRT_OWTrt(X61,X58,X63,c_Expr_Oexp_OFAcc(X59,X62,X64,tc_List_Olist(tc_String_Ochar)),X60) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_277])])]) ).
fof(c_0_504_505,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_278]) ).
fof(c_0_505_506,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_279]) ).
fof(c_0_506_507,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68,X69] :
( c_Conform_Ohconf(X68,X63,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Conform_Ohconf(X68,X64,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X68,X64,X69,X66,X67)
| ~ c_in(c_Pair(c_Pair(X66,c_Pair(X64,X62,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X68),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_280])])]) ).
fof(c_0_507_508,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_Objects_Ohext(X64,X63)
| ~ c_in(c_Pair(c_Pair(X66,c_Pair(X64,X62,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),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)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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_281])])]) ).
fof(c_0_508_509,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_TypeSafe__Mirabelle_Osconf(X75,X76,X70)
| ~ c_TypeSafe__Mirabelle_Osconf(X75,X76,X71)
| ~ c_WellTypeRT_OWTrt(X75,c_State_Ohp(X71),X76,X73,X74)
| ~ c_in(c_Pair(c_Pair(X73,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(X72,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(X75),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(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_282]) ).
fof(c_0_509_510,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_283]) ).
fof(c_0_510_511,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_284]) ).
fof(c_0_511_512,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_285]) ).
fof(c_0_512_513,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_286]) ).
fof(c_0_513_514,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_287]) ).
fof(c_0_514_515,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_288]) ).
fof(c_0_515_516,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_289]) ).
fof(c_0_516_517,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_290]) ).
fof(c_0_517_518,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_291]) ).
fof(c_0_518_519,plain,
! [X68,X69,X70,X71,X72,X73,X74] :
( c_Objects_Ohext(X71,X70)
| ~ c_BigStep_Oevals(X74,X73,c_Pair(X71,X69,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),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)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_292])])]) ).
fof(c_0_519_520,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_Objects_Ohext(X64,X63)
| ~ c_BigStep_Oeval(X67,X66,c_Pair(X64,X62,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),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)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_293])])]) ).
fof(c_0_520_521,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_294]) ).
fof(c_0_521_522,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_295]) ).
fof(c_0_522_523,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_296]) ).
fof(c_0_523_524,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_297])])]) ).
fof(c_0_524_525,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_298])])]) ).
fof(c_0_525_526,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_299])])]) ).
fof(c_0_526_527,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_300])])]) ).
fof(c_0_527_528,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_301])])]) ).
fof(c_0_528_529,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_302])])]) ).
fof(c_0_529_530,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_SmallStep_Oredp(X75,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X76,X77,X74,tc_List_Olist(tc_String_Ochar)),X72,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X76,X77,X73,tc_List_Olist(tc_String_Ochar)),X71)
| ~ c_SmallStep_Oredp(X75,X74,X72,X73,X71) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_303])])]) ).
fof(c_0_530_531,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_SmallStep_Oredp(X75,c_Expr_Oexp_OFAss(X74,X76,X77,X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAss(X72,X76,X77,X73,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X75,X74,X71,X72,X70) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_304])])]) ).
fof(c_0_531_532,plain,
! [X70,X71,X72,X73,X74,X75,X76,X77] :
( c_SmallStep_Oredp(X76,c_Expr_Oexp_OTryCatch(X74,X77,X75,X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OTryCatch(X72,X77,X75,X73,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X76,X74,X71,X72,X70) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_305])])]) ).
fof(c_0_532_533,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68,X69,X70] :
( c_BigStep_Oeval(X68,c_Expr_Oexp_OFAss(X67,X69,X70,X66,tc_List_Olist(tc_String_Ochar)),X64,c_Expr_Oexp_Othrow(X65,tc_List_Olist(tc_String_Ochar)),X62)
| ~ c_BigStep_Oeval(X68,X66,X63,c_Expr_Oexp_Othrow(X65,tc_List_Olist(tc_String_Ochar)),X62)
| ~ c_BigStep_Oeval(X68,X67,X64,c_Expr_Oexp_OVal(X61,tc_List_Olist(tc_String_Ochar)),X63) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_306])])]) ).
fof(c_0_533_534,plain,
! [X92,X93,X94,X95,X96,X97,X98,X99,X100] :
( c_BigStep_Oeval(X100,c_Expr_Oexp_OWhile(X98,X99,tc_List_Olist(tc_String_Ochar)),X96,X97,X93)
| ~ c_BigStep_Oeval(X100,c_Expr_Oexp_OWhile(X98,X99,tc_List_Olist(tc_String_Ochar)),X94,X97,X93)
| ~ c_BigStep_Oeval(X100,X99,X95,c_Expr_Oexp_OVal(X92,tc_List_Olist(tc_String_Ochar)),X94)
| ~ c_BigStep_Oeval(X100,X98,X96,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X95) ),
inference(variable_rename,[status(thm)],[c_0_307]) ).
fof(c_0_534_535,plain,
! [X81,X82,X83,X84,X85,X86,X87,X88] :
( c_in(c_Pair(X84,X83,X87,X87),X81,tc_prod(X87,X87))
| c_in(c_Pair(X86,X85,X88,X88),X82,tc_prod(X88,X88))
| ~ c_in(c_Pair(c_Pair(X86,X84,X88,X87),c_Pair(X85,X83,X88,X87),tc_prod(X88,X87),tc_prod(X88,X87)),c_Wellfounded_Olex__prod(X82,X81,X88,X87),tc_prod(tc_prod(X88,X87),tc_prod(X88,X87))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_308])])]) ).
fof(c_0_535_536,plain,
! [X45,X46,X47,X48,X49] :
( c_List_Olist__all2(c_TypeRel_Owiden(X48,X49),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X48,X47,X46,X45,X49),X47,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X48,X46,X49),X45,X47,tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_309]) ).
fof(c_0_536_537,plain,
! [X81,X82,X83,X84,X85,X86,X87,X88] :
( X86 = X85
| c_in(c_Pair(X86,X85,X88,X88),X82,tc_prod(X88,X88))
| ~ c_in(c_Pair(c_Pair(X86,X84,X88,X87),c_Pair(X85,X83,X88,X87),tc_prod(X88,X87),tc_prod(X88,X87)),c_Wellfounded_Olex__prod(X82,X81,X88,X87),tc_prod(tc_prod(X88,X87),tc_prod(X88,X87))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_310])])]) ).
fof(c_0_537_538,plain,
! [X71,X72,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)),X72)
| ~ c_BigStep_Oeval(X79,X75,X73,c_Expr_Oexp_Othrow(X77,tc_List_Olist(tc_String_Ochar)),X72)
| ~ c_BigStep_Oeval(X79,X76,X74,c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),X73) ),
inference(variable_rename,[status(thm)],[c_0_311]) ).
fof(c_0_538_539,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68] :
( c_BigStep_Oeval(X66,c_Expr_Oexp_OFAss(X65,X67,X68,X64,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X66,X65,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_312])])]) ).
fof(c_0_539_540,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57] :
( c_BigStep_Oeval(X56,c_Expr_Oexp_OTryCatch(X54,X57,X55,X53,tc_List_Olist(tc_String_Ochar)),X52,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X51)
| ~ c_BigStep_Oeval(X56,X54,X52,c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X51) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_313])])]) ).
fof(c_0_540_541,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68] :
( c_BigStep_Oeval(X68,c_Expr_Oexp_OCond(X67,X66,X65,tc_List_Olist(tc_String_Ochar)),X63,X64,X61)
| ~ c_BigStep_Oeval(X68,X66,X62,X64,X61)
| ~ c_BigStep_Oeval(X68,X67,X63,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X62) ),
inference(variable_rename,[status(thm)],[c_0_314]) ).
fof(c_0_541_542,plain,
! [X61,X62,X63,X64,X65,X66,X67,X68] :
( c_BigStep_Oeval(X68,c_Expr_Oexp_OCond(X67,X66,X65,tc_List_Olist(tc_String_Ochar)),X63,X64,X61)
| ~ c_BigStep_Oeval(X68,X65,X62,X64,X61)
| ~ c_BigStep_Oeval(X68,X67,X63,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X62) ),
inference(variable_rename,[status(thm)],[c_0_315]) ).
fof(c_0_542_543,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_316]) ).
fof(c_0_543_544,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_317]) ).
fof(c_0_544_545,plain,
! [X45,X46,X47,X48,X49,X50] :
( c_List_Olist__all2(c_Conform_Oconf(X49,X46,X50),X45,X47,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X49,X50),X48,X47,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X49,X46,X50),X45,X48,tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_318]) ).
fof(c_0_545_546,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_BigStep_Oeval(X67,c_Expr_Oexp_OWhile(X65,X66,tc_List_Olist(tc_String_Ochar)),X63,c_Expr_Oexp_Othrow(X64,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X67,X66,X62,c_Expr_Oexp_Othrow(X64,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X67,X65,X63,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X62) ),
inference(variable_rename,[status(thm)],[c_0_319]) ).
fof(c_0_546_547,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( c_BigStep_Oeval(X56,c_Expr_Oexp_OSeq(X55,X54,tc_List_Olist(tc_String_Ochar)),X52,X53,X50)
| ~ c_BigStep_Oeval(X56,X54,X51,X53,X50)
| ~ c_BigStep_Oeval(X56,X55,X52,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X51) ),
inference(variable_rename,[status(thm)],[c_0_320]) ).
fof(c_0_547_548,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_BigStep_Oeval(X75,c_Expr_Oexp_OWhile(X74,X73,tc_List_Olist(tc_String_Ochar)),X71,X72,X70)
| ~ c_BigStep_Oeval(X75,c_Expr_Oexp_OCond(X74,c_Expr_Oexp_OSeq(X73,c_Expr_Oexp_OWhile(X74,X73,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,X72,X70) ),
inference(variable_rename,[status(thm)],[c_0_321]) ).
fof(c_0_548_549,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_322]) ).
fof(c_0_549_550,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_323]) ).
fof(c_0_550_551,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_324]) ).
fof(c_0_551_552,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_BigStep_Oeval(X75,c_Expr_Oexp_OCond(X74,c_Expr_Oexp_OSeq(X73,c_Expr_Oexp_OWhile(X74,X73,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,X72,X70)
| ~ c_BigStep_Oeval(X75,c_Expr_Oexp_OWhile(X74,X73,tc_List_Olist(tc_String_Ochar)),X71,X72,X70) ),
inference(variable_rename,[status(thm)],[c_0_325]) ).
fof(c_0_552_553,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),X74,X72,X78,X77)
| ~ c_in(c_Pair(X75,X73,X78,X77),X76,tc_prod(X78,X77)) ),
inference(variable_rename,[status(thm)],[c_0_326]) ).
fof(c_0_553_554,plain,
! [X55,X56,X57,X58,X59,X60,X61] :
( c_List_Olist__all2(c_Aux_Ofun__of(X59,X61,X60),c_List_Olist_OCons(X58,X55,X61),c_List_Olist_OCons(X57,X56,X60),X61,X60)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X59,X61,X60),X55,X56,X61,X60)
| ~ c_in(c_Pair(X58,X57,X61,X60),X59,tc_prod(X61,X60)) ),
inference(variable_rename,[status(thm)],[c_0_327]) ).
fof(c_0_554_555,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),X74,X72,X78,X77)
| ~ c_in(c_Pair(X75,X73,X78,X77),X76,tc_prod(X78,X77)) ),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_555_556,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_329])])]) ).
fof(c_0_556_557,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_330]) ).
fof(c_0_557_558,plain,
! [X86,X87,X88,X89,X90,X91,X92] :
( c_in(c_Pair(c_Pair(X88,X86,X92,X91),c_Pair(X88,X87,X92,X91),tc_prod(X92,X91),tc_prod(X92,X91)),c_Recdef_Osame__fst(X90,X89,X92,X91),tc_prod(tc_prod(X92,X91),tc_prod(X92,X91)))
| ~ c_in(c_Pair(X86,X87,X91,X91),hAPP(X89,X88),tc_prod(X91,X91))
| ~ hBOOL(hAPP(X90,X88)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_331])])]) ).
fof(c_0_558_559,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_SmallStep_Oredp(X77,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),X76,X75,tc_List_Olist(tc_String_Ochar)),X73,c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X71,tc_List_Olist(tc_String_Ochar)),X76,X74,tc_List_Olist(tc_String_Ochar)),X72)
| ~ c_SmallStep_Oredp(X77,X75,X73,X74,X72) ),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_559_560,plain,
! [X81,X82,X83,X84,X85,X86,X87,X88] :
( c_in(c_Pair(c_Pair(X86,X84,X88,X87),c_Pair(X85,X83,X88,X87),tc_prod(X88,X87),tc_prod(X88,X87)),c_Wellfounded_Olex__prod(X82,X81,X88,X87),tc_prod(tc_prod(X88,X87),tc_prod(X88,X87)))
| ~ c_in(c_Pair(X86,X85,X88,X88),X82,tc_prod(X88,X88)) ),
inference(variable_rename,[status(thm)],[c_0_333]) ).
fof(c_0_560_561,plain,
! [X81,X82,X83,X84,X85,X86,X87] :
( c_in(c_Pair(c_Pair(X81,X85,X87,X86),c_Pair(X81,X84,X87,X86),tc_prod(X87,X86),tc_prod(X87,X86)),c_Wellfounded_Olex__prod(X83,X82,X87,X86),tc_prod(tc_prod(X87,X86),tc_prod(X87,X86)))
| ~ c_in(c_Pair(X85,X84,X86,X86),X82,tc_prod(X86,X86)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_334])])]) ).
fof(c_0_561_562,plain,
! [X83,X84,X85,X86,X87,X88,X89] :
( c_SmallStep_Oredp(X88,c_Expr_Oexp_OCall(X87,X89,X85,tc_List_Olist(tc_String_Ochar)),X84,c_Expr_Oexp_OCall(X86,X89,X85,tc_List_Olist(tc_String_Ochar)),X83)
| ~ c_SmallStep_Oredp(X88,X87,X84,X86,X83) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_335])])]) ).
fof(c_0_562_563,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_SmallStep_Oredp(X77,c_Expr_Oexp_OBinOp(X75,X76,X74,tc_List_Olist(tc_String_Ochar)),X72,c_Expr_Oexp_OBinOp(X73,X76,X74,tc_List_Olist(tc_String_Ochar)),X71)
| ~ c_SmallStep_Oredp(X77,X75,X72,X73,X71) ),
inference(variable_rename,[status(thm)],[c_0_336]) ).
fof(c_0_563_564,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_SmallStep_Oredp(X76,c_Expr_Oexp_OCond(X75,X74,X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCond(X72,X74,X73,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X76,X75,X71,X72,X70) ),
inference(variable_rename,[status(thm)],[c_0_337]) ).
fof(c_0_564_565,plain,
! [X70,X71,X72,X73,X74,X75,X76] :
( c_SmallStep_Oredp(X74,c_Expr_Oexp_OFAcc(X73,X75,X76,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OFAcc(X72,X75,X76,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X74,X73,X71,X72,X70) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_338])])]) ).
fof(c_0_565_566,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_339])])]) ).
fof(c_0_566_567,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_340])])]) ).
fof(c_0_567_568,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_341]) ).
fof(c_0_568_569,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_342]) ).
fof(c_0_569_570,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_343]) ).
fof(c_0_570_571,plain,
! [X76,X77,X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAss(X83,X79,X77,X81,X84) != c_Expr_Oexp_OFAss(X82,X78,X76,X80,X84)
| X83 = X82 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_344])])]) ).
fof(c_0_571_572,plain,
! [X76,X77,X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAss(X83,X79,X77,X81,X84) != c_Expr_Oexp_OFAss(X82,X78,X76,X80,X84)
| X79 = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_345])])]) ).
fof(c_0_572_573,plain,
! [X76,X77,X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAss(X83,X79,X77,X81,X84) != c_Expr_Oexp_OFAss(X82,X78,X76,X80,X84)
| X77 = X76 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_346])])]) ).
fof(c_0_573_574,plain,
! [X76,X77,X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAss(X83,X79,X77,X81,X84) != c_Expr_Oexp_OFAss(X82,X78,X76,X80,X84)
| X81 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_347])])]) ).
fof(c_0_574_575,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_348])])]) ).
fof(c_0_575_576,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_349])])]) ).
fof(c_0_576_577,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_350])])]) ).
fof(c_0_577_578,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_351])])]) ).
fof(c_0_578_579,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),X74,X72,X78,X77)
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77) ),
inference(variable_rename,[status(thm)],[c_0_352]) ).
fof(c_0_579_580,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_BigStep_Oeval(X65,c_Expr_Oexp_OFAcc(X64,X66,X67,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X65,X64,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_353])])]) ).
fof(c_0_580_581,plain,
! [X87,X88,X89,X90,X91,X92,X93] :
( c_BigStep_Oeval(X92,c_Expr_Oexp_OCall(X91,X93,X89,tc_List_Olist(tc_String_Ochar)),X88,c_Expr_Oexp_Othrow(X90,tc_List_Olist(tc_String_Ochar)),X87)
| ~ c_BigStep_Oeval(X92,X91,X88,c_Expr_Oexp_Othrow(X90,tc_List_Olist(tc_String_Ochar)),X87) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_354])])]) ).
fof(c_0_581_582,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_BigStep_Oeval(X67,c_Expr_Oexp_OCond(X66,X65,X64,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X67,X66,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(variable_rename,[status(thm)],[c_0_355]) ).
fof(c_0_582_583,plain,
! [X71,X72,X73,X74,X75,X76,X77] :
( c_BigStep_Oeval(X77,c_Expr_Oexp_OBinOp(X74,X76,X73,tc_List_Olist(tc_String_Ochar)),X72,c_Expr_Oexp_Othrow(X75,tc_List_Olist(tc_String_Ochar)),X71)
| ~ c_BigStep_Oeval(X77,X74,X72,c_Expr_Oexp_Othrow(X75,tc_List_Olist(tc_String_Ochar)),X71) ),
inference(variable_rename,[status(thm)],[c_0_356]) ).
fof(c_0_583_584,plain,
! [X55,X56,X57,X58,X59,X60] :
( c_List_Olist__all2(c_TypeRel_Owiden(X59,X60),c_List_Olist_OCons(X58,X55,tc_Type_Oty),c_List_Olist_OCons(X57,X56,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X59,X60),X55,X56,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X59,X60),X58),X57)) ),
inference(variable_rename,[status(thm)],[c_0_357]) ).
fof(c_0_584_585,plain,
! [X58,X59,X60,X61,X62,X63,X64] :
( c_WellTypeRT_OWTrt(X61,X58,X63,c_Expr_Oexp_OFAcc(X59,X62,X64,tc_List_Olist(tc_String_Ochar)),X60)
| ~ c_WellTypeRT_OWTrt(X61,X58,X63,X59,c_Type_Oty_ONT) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_358])])]) ).
fof(c_0_585_586,plain,
! [X58,X59,X60,X61,X62,X63,X64] :
( c_Progress_OWTrt_H(X61,X58,X63,c_Expr_Oexp_OFAcc(X59,X62,X64,tc_List_Olist(tc_String_Ochar)),X60)
| ~ c_Progress_OWTrt_H(X61,X58,X63,X59,c_Type_Oty_ONT) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_359])])]) ).
fof(c_0_586_587,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_360])])]) ).
fof(c_0_587_588,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_List_Olist__all2(X76,c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77)
| ~ c_List_Olist__all2(X76,X74,X72,X78,X77)
| ~ hBOOL(hAPP(hAPP(X76,X75),X73)) ),
inference(variable_rename,[status(thm)],[c_0_361]) ).
fof(c_0_588_589,plain,
! [X55,X56,X57,X58,X59,X60,X61] :
( c_List_Olist__all2(X59,c_List_Olist_OCons(X58,X55,X61),c_List_Olist_OCons(X57,X56,X60),X61,X60)
| ~ c_List_Olist__all2(X59,X55,X56,X61,X60)
| ~ hBOOL(hAPP(hAPP(X59,X58),X57)) ),
inference(variable_rename,[status(thm)],[c_0_362]) ).
fof(c_0_589_590,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_List_Olist__all2(X76,c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77)
| ~ c_List_Olist__all2(X76,X74,X72,X78,X77)
| ~ hBOOL(hAPP(hAPP(X76,X75),X73)) ),
inference(variable_rename,[status(thm)],[c_0_363]) ).
fof(c_0_590_591,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_List_Olist__all2(X76,X74,X72,X78,X77)
| ~ c_List_Olist__all2(X76,c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77) ),
inference(variable_rename,[status(thm)],[c_0_364]) ).
fof(c_0_591_592,plain,
! [X44,X45,X46,X47,X48,X49] :
( c_List_Olist__all2(c_Conform_Oconf(X48,X45,X49),X44,X47,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X46,X45)
| ~ c_List_Olist__all2(c_Conform_Oconf(X48,X46,X49),X44,X47,tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_365]) ).
fof(c_0_592_593,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_SmallStep_Oredp(X75,c_Expr_Oexp_OLAss(X74,X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OLAss(X74,X72,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X75,X73,X71,X72,X70) ),
inference(variable_rename,[status(thm)],[c_0_366]) ).
fof(c_0_593_594,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_SmallStep_Oredp(X74,c_Expr_Oexp_OCast(X75,X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OCast(X75,X72,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X74,X73,X71,X72,X70) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_367])])]) ).
fof(c_0_594_595,plain,
! [X70,X71,X72,X73,X74,X75] :
( c_SmallStep_Oredp(X75,c_Expr_Oexp_OSeq(X74,X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_OSeq(X72,X73,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X75,X74,X71,X72,X70) ),
inference(variable_rename,[status(thm)],[c_0_368]) ).
fof(c_0_595_596,plain,
! [X48,X49,X50,X51,X52] :
( c_BigStep_Oeval(X52,c_Expr_Oexp_Othrow(X50,tc_List_Olist(tc_String_Ochar)),X49,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X51),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X48)
| ~ c_BigStep_Oeval(X52,X50,X49,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X51),tc_List_Olist(tc_String_Ochar)),X48) ),
inference(variable_rename,[status(thm)],[c_0_369]) ).
fof(c_0_596_597,plain,
! [X56,X57,X58,X59,X60] :
( c_BigStep_Oeval(X60,c_Expr_Oexp_OWhile(X58,X59,tc_List_Olist(tc_String_Ochar)),X57,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X56)
| ~ c_BigStep_Oeval(X60,X58,X57,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X56) ),
inference(variable_rename,[status(thm)],[c_0_370]) ).
fof(c_0_597_598,plain,
! [X49,X50,X51,X52,X53,X54] :
( c_BigStep_Oeval(X54,c_Expr_Oexp_OSeq(X52,X51,tc_List_Olist(tc_String_Ochar)),X50,c_Expr_Oexp_Othrow(X53,tc_List_Olist(tc_String_Ochar)),X49)
| ~ c_BigStep_Oeval(X54,X52,X50,c_Expr_Oexp_Othrow(X53,tc_List_Olist(tc_String_Ochar)),X49) ),
inference(variable_rename,[status(thm)],[c_0_371]) ).
fof(c_0_598_599,plain,
! [X61,X62,X63,X64,X65,X66] :
( c_BigStep_Oeval(X66,c_Expr_Oexp_OLAss(X65,X64,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X66,X64,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(variable_rename,[status(thm)],[c_0_372]) ).
fof(c_0_599_600,plain,
! [X61,X62,X63,X64,X65,X66] :
( c_BigStep_Oeval(X66,c_Expr_Oexp_OWhile(X64,X65,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X66,X64,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(variable_rename,[status(thm)],[c_0_373]) ).
fof(c_0_600_601,plain,
! [X61,X62,X63,X64,X65,X66] :
( c_BigStep_Oeval(X65,c_Expr_Oexp_OCast(X66,X64,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X65,X64,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_374])])]) ).
fof(c_0_601_602,plain,
! [X48,X49,X50,X51,X52] :
( c_BigStep_Oeval(X51,c_Expr_Oexp_OCast(X52,X50,tc_List_Olist(tc_String_Ochar)),X49,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X48)
| ~ c_BigStep_Oeval(X51,X50,X49,c_Expr_Oexp_OVal(c_Value_Oval_ONull,tc_List_Olist(tc_String_Ochar)),X48) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_375])])]) ).
fof(c_0_602_603,plain,
! [X56,X57,X58,X59,X60,X61] :
( c_WellTypeRT_OWTrt(X60,X56,X61,X57,c_Type_Oty_OBoolean)
| ~ c_WellTypeRT_OWTrt(X60,X56,X61,c_Expr_Oexp_OWhile(X57,X58,tc_List_Olist(tc_String_Ochar)),X59) ),
inference(variable_rename,[status(thm)],[c_0_376]) ).
fof(c_0_603_604,plain,
! [X61,X62,X63,X64,X65] :
( c_BigStep_Oeval(X65,c_Expr_Oexp_Othrow(X64,tc_List_Olist(tc_String_Ochar)),X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61)
| ~ c_BigStep_Oeval(X65,X64,X62,c_Expr_Oexp_Othrow(X63,tc_List_Olist(tc_String_Ochar)),X61) ),
inference(variable_rename,[status(thm)],[c_0_377]) ).
fof(c_0_604_605,plain,
! [X70,X71,X72,X73,X74] :
( c_SmallStep_Oredp(X74,c_Expr_Oexp_Othrow(X73,tc_List_Olist(tc_String_Ochar)),X71,c_Expr_Oexp_Othrow(X72,tc_List_Olist(tc_String_Ochar)),X70)
| ~ c_SmallStep_Oredp(X74,X73,X71,X72,X70) ),
inference(variable_rename,[status(thm)],[c_0_378]) ).
fof(c_0_605_606,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_379])])]) ).
fof(c_0_606_607,plain,
! [X60,X61,X62,X63,X64,X65] :
( c_Conform_Olconf(X63,X61,X60,X64,X65)
| ~ c_Objects_Ohext(X62,X61)
| ~ c_Conform_Olconf(X63,X62,X60,X64,X65) ),
inference(variable_rename,[status(thm)],[c_0_380]) ).
fof(c_0_607_608,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_381]) ).
fof(c_0_608_609,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_382]) ).
fof(c_0_609_610,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_383]) ).
fof(c_0_610_611,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_384])])]) ).
fof(c_0_611_612,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( c_in(c_Pair(X75,X73,X78,X77),X76,tc_prod(X78,X77))
| ~ c_List_Olist__all2(c_Aux_Ofun__of(X76,X78,X77),c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77) ),
inference(variable_rename,[status(thm)],[c_0_385]) ).
fof(c_0_612_613,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_386]) ).
fof(c_0_613_614,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_387]) ).
fof(c_0_614_615,plain,
! [X52,X53,X54,X55,X56] :
( c_Map_Omap__le(c_Map_Omap__add(X54,X53,X56,X55),X52,X56,X55)
| ~ c_Map_Omap__le(X54,c_Map_Omap__add(X54,X53,X56,X55),X56,X55)
| ~ c_Map_Omap__le(X53,X52,X56,X55)
| ~ c_Map_Omap__le(X54,X52,X56,X55) ),
inference(variable_rename,[status(thm)],[c_0_388]) ).
fof(c_0_615_616,plain,
! [X81,X82,X83,X84,X85] :
( c_in(c_Pair(X84,X82,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85))
| ~ c_in(c_Pair(X83,X82,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85))
| ~ c_in(c_Pair(X84,X83,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85)) ),
inference(variable_rename,[status(thm)],[c_0_389]) ).
fof(c_0_616_617,plain,
! [X81,X82,X83,X84,X85] :
( c_in(c_Pair(X84,X82,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85))
| ~ c_in(c_Pair(X83,X82,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85))
| ~ c_in(c_Pair(X84,X83,X85,X85),X81,tc_prod(X85,X85)) ),
inference(variable_rename,[status(thm)],[c_0_390]) ).
fof(c_0_617_618,plain,
! [X81,X82,X83,X84,X85] :
( c_in(c_Pair(X84,X82,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85))
| ~ c_in(c_Pair(X83,X82,X85,X85),X81,tc_prod(X85,X85))
| ~ c_in(c_Pair(X84,X83,X85,X85),c_Transitive__Closure_Ortrancl(X81,X85),tc_prod(X85,X85)) ),
inference(variable_rename,[status(thm)],[c_0_391]) ).
fof(c_0_618_619,plain,
! [X72,X73,X74,X75,X76,X77,X78] :
( hBOOL(hAPP(hAPP(X76,X75),X73))
| ~ c_List_Olist__all2(X76,c_List_Olist_OCons(X75,X74,X78),c_List_Olist_OCons(X73,X72,X77),X78,X77) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_392])])]) ).
fof(c_0_619_620,plain,
! [X58,X59,X60,X61,X62,X63] :
( c_Decl_Ois__class(X61,X63,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X61,X58,X62,c_Expr_Oexp_OCast(X63,X59,tc_List_Olist(tc_String_Ochar)),X60) ),
inference(variable_rename,[status(thm)],[c_0_393]) ).
fof(c_0_620_621,plain,
! [X58,X59,X60,X61,X62,X63] :
( X60 = c_Type_Oty_OClass(X63)
| ~ c_WellTypeRT_OWTrt(X61,X58,X62,c_Expr_Oexp_OCast(X63,X59,tc_List_Olist(tc_String_Ochar)),X60) ),
inference(variable_rename,[status(thm)],[c_0_394]) ).
fof(c_0_621_622,plain,
! [X70,X71,X72,X73,X74] :
( X73 = c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar))
| ~ c_BigStep_Oeval(X74,c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X72,X73,X71) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_395])])]) ).
fof(c_0_622_623,plain,
! [X70,X71,X72,X73,X74] :
( X71 = X72
| ~ c_BigStep_Oeval(X74,c_Expr_Oexp_OVal(X70,tc_List_Olist(tc_String_Ochar)),X72,X73,X71) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_396])])]) ).
fof(c_0_623_624,plain,
! [X65,X66,X67] :
( X66 = X65
| ~ c_List_Olist__all2(c_fequal(X67),X66,X65,X67,X67) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_397])])]) ).
fof(c_0_624_625,plain,
! [X52,X53,X54,X55] :
( c_Map_Omap__add(X53,X52,X55,X54) = c_Map_Omap__add(X52,X53,X55,X54)
| ~ c_Map_Omap__le(X53,c_Map_Omap__add(X53,X52,X55,X54),X55,X54) ),
inference(variable_rename,[status(thm)],[c_0_398]) ).
fof(c_0_625_626,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_399]) ).
fof(c_0_626_627,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_400]) ).
fof(c_0_627_628,plain,
! [X52,X53,X54,X55] :
( c_Map_Omap__add(X53,X52,X55,X54) != c_Map_Omap__add(X52,X53,X55,X54)
| c_Map_Omap__le(X53,c_Map_Omap__add(X53,X52,X55,X54),X55,X54) ),
inference(variable_rename,[status(thm)],[c_0_401]) ).
fof(c_0_628_629,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_402]) ).
fof(c_0_629_630,plain,
! [X52,X53,X54,X55,X56] :
( c_Map_Omap__le(X53,X52,X56,X55)
| ~ c_Map_Omap__le(c_Map_Omap__add(X54,X53,X56,X55),X52,X56,X55) ),
inference(variable_rename,[status(thm)],[c_0_403]) ).
fof(c_0_630_631,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_404]) ).
fof(c_0_631_632,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_405]) ).
fof(c_0_632_633,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_406])])]) ).
fof(c_0_633_634,plain,
! [X64,X65,X66,X67,X68] :
( c_Map_Omap__le(X66,X64,X68,X67)
| ~ c_Map_Omap__le(X65,X64,X68,X67)
| ~ c_Map_Omap__le(X66,X65,X68,X67) ),
inference(variable_rename,[status(thm)],[c_0_407]) ).
fof(c_0_634_635,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_408]) ).
fof(c_0_635_636,plain,
! [X56,X57,X58,X59,X60] :
( c_WellType_OWT(X59,X60,X56,c_Type_Oty_OBoolean)
| ~ c_WellType_OWT(X59,X60,c_Expr_Oexp_OWhile(X56,X57,tc_List_Olist(tc_String_Ochar)),X58) ),
inference(variable_rename,[status(thm)],[c_0_409]) ).
fof(c_0_636_637,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_410])])]) ).
fof(c_0_637_638,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_411]) ).
fof(c_0_638_639,plain,
! [X52,X53,X54,X55] :
( X53 = X52
| ~ c_Map_Omap__le(X52,X53,X55,X54)
| ~ c_Map_Omap__le(X53,X52,X55,X54) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_412])])]) ).
fof(c_0_639_640,plain,
! [X89,X90,X91,X92,X93,X94,X95] :
( c_Expr_Oexp_OBlock(X94,X90,X92,X95) != c_Expr_Oexp_OBlock(X93,X89,X91,X95)
| X92 = X91 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_413])])]) ).
fof(c_0_640_641,plain,
! [X89,X90,X91,X92,X93,X94,X95] :
( c_Expr_Oexp_OBlock(X94,X90,X92,X95) != c_Expr_Oexp_OBlock(X93,X89,X91,X95)
| X90 = X89 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_414])])]) ).
fof(c_0_641_642,plain,
! [X89,X90,X91,X92,X93,X94,X95] :
( c_Expr_Oexp_OBlock(X94,X90,X92,X95) != c_Expr_Oexp_OBlock(X93,X89,X91,X95)
| X94 = X93 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_415])])]) ).
fof(c_0_642_643,plain,
! [X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OCall(X83,X81,X79,X84) != c_Expr_Oexp_OCall(X82,X80,X78,X84)
| X83 = X82 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_416])])]) ).
fof(c_0_643_644,plain,
! [X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OCall(X83,X81,X79,X84) != c_Expr_Oexp_OCall(X82,X80,X78,X84)
| X81 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_417])])]) ).
fof(c_0_644_645,plain,
! [X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OCall(X83,X81,X79,X84) != c_Expr_Oexp_OCall(X82,X80,X78,X84)
| X79 = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_418])])]) ).
fof(c_0_645_646,plain,
! [X79,X80,X81,X82,X83,X84,X85] :
( c_Expr_Oexp_OBinOp(X82,X84,X80,X85) != c_Expr_Oexp_OBinOp(X81,X83,X79,X85)
| X82 = X81 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_419])])]) ).
fof(c_0_646_647,plain,
! [X79,X80,X81,X82,X83,X84,X85] :
( c_Expr_Oexp_OBinOp(X82,X84,X80,X85) != c_Expr_Oexp_OBinOp(X81,X83,X79,X85)
| X84 = X83 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_420])])]) ).
fof(c_0_647_648,plain,
! [X79,X80,X81,X82,X83,X84,X85] :
( c_Expr_Oexp_OBinOp(X82,X84,X80,X85) != c_Expr_Oexp_OBinOp(X81,X83,X79,X85)
| X80 = X79 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_421])])]) ).
fof(c_0_648_649,plain,
! [X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAcc(X83,X81,X79,X84) != c_Expr_Oexp_OFAcc(X82,X80,X78,X84)
| X83 = X82 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_422])])]) ).
fof(c_0_649_650,plain,
! [X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAcc(X83,X81,X79,X84) != c_Expr_Oexp_OFAcc(X82,X80,X78,X84)
| X81 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_423])])]) ).
fof(c_0_650_651,plain,
! [X78,X79,X80,X81,X82,X83,X84] :
( c_Expr_Oexp_OFAcc(X83,X81,X79,X84) != c_Expr_Oexp_OFAcc(X82,X80,X78,X84)
| X79 = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_424])])]) ).
fof(c_0_651_652,plain,
! [X43,X44,X45,X46,X47,X48] :
( c_Pair(X46,X44,X48,X47) != c_Pair(X45,X43,X48,X47)
| X46 = X45 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_425])])]) ).
fof(c_0_652_653,plain,
! [X43,X44,X45,X46,X47,X48] :
( c_Pair(X46,X44,X48,X47) != c_Pair(X45,X43,X48,X47)
| X44 = X43 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_426])])]) ).
fof(c_0_653_654,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( c_Expr_Oexp_OCond(X45,X43,X41,X46) != c_Expr_Oexp_OCond(X44,X42,X40,X46)
| X41 = X40 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_427])])]) ).
fof(c_0_654_655,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( c_Expr_Oexp_OCond(X45,X43,X41,X46) != c_Expr_Oexp_OCond(X44,X42,X40,X46)
| X43 = X42 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_428])])]) ).
fof(c_0_655_656,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( c_Expr_Oexp_OCond(X45,X43,X41,X46) != c_Expr_Oexp_OCond(X44,X42,X40,X46)
| X45 = X44 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_429])])]) ).
fof(c_0_656_657,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_430]) ).
fof(c_0_657_658,plain,
! [X58,X59,X60,X61,X62] :
( c_Decl_Ois__class(X60,X62,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X60,X61,c_Expr_Oexp_OCast(X62,X58,tc_List_Olist(tc_String_Ochar)),X59) ),
inference(variable_rename,[status(thm)],[c_0_431]) ).
fof(c_0_658_659,plain,
! [X58,X59,X60,X61,X62] :
( X59 = c_Type_Oty_OClass(X62)
| ~ c_WellType_OWT(X60,X61,c_Expr_Oexp_OCast(X62,X58,tc_List_Olist(tc_String_Ochar)),X59) ),
inference(variable_rename,[status(thm)],[c_0_432]) ).
fof(c_0_659_660,plain,
! [X82,X83,X84] :
( c_in(X83,c_Transitive__Closure_Ortrancl(X82,X84),tc_prod(X84,X84))
| ~ c_in(X83,X82,tc_prod(X84,X84)) ),
inference(variable_rename,[status(thm)],[c_0_433]) ).
fof(c_0_660_661,plain,
! [X78,X79,X80,X81,X82] :
( c_Expr_Oexp_OLAss(X81,X79,X82) != c_Expr_Oexp_OLAss(X80,X78,X82)
| X79 = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_434])])]) ).
fof(c_0_661_662,plain,
! [X78,X79,X80,X81,X82] :
( c_Expr_Oexp_OLAss(X81,X79,X82) != c_Expr_Oexp_OLAss(X80,X78,X82)
| X81 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_435])])]) ).
fof(c_0_662_663,plain,
! [X78,X79,X80,X81,X82] :
( c_Expr_Oexp_OCast(X79,X81,X82) != c_Expr_Oexp_OCast(X78,X80,X82)
| X79 = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_436])])]) ).
fof(c_0_663_664,plain,
! [X78,X79,X80,X81,X82] :
( c_Expr_Oexp_OCast(X79,X81,X82) != c_Expr_Oexp_OCast(X78,X80,X82)
| X81 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_437])])]) ).
fof(c_0_664_665,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_438])])]) ).
fof(c_0_665_666,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_439])])]) ).
fof(c_0_666_667,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_440])])]) ).
fof(c_0_667_668,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_441])])]) ).
fof(c_0_668_669,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_442])])]) ).
fof(c_0_669_670,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_443])])]) ).
fof(c_0_670_671,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_444])])]) ).
fof(c_0_671_672,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_445])])]) ).
fof(c_0_672_673,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_446])])]) ).
fof(c_0_673_674,plain,
! [X66,X67,X68] :
( c_Objects_Ohext(X68,X66)
| ~ c_Objects_Ohext(X67,X66)
| ~ c_Objects_Ohext(X68,X67) ),
inference(variable_rename,[status(thm)],[c_0_447]) ).
fof(c_0_674_675,plain,
! [X78,X79,X80] :
( c_Expr_Oexp_Othrow(X79,X80) != c_Expr_Oexp_Othrow(X78,X80)
| X79 = X78 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_448])])]) ).
fof(c_0_675_676,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_449])])]) ).
fof(c_0_676_677,plain,
! [X94,X95] :
( c_Value_Oval_OAddr(X95) != c_Value_Oval_OAddr(X94)
| X95 = X94 ),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_677_678,plain,
! [X32,X33] :
( c_Type_Oty_OClass(X33) != c_Type_Oty_OClass(X32)
| X33 = X32 ),
inference(variable_rename,[status(thm)],[c_0_451]) ).
cnf(c_0_678_679,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_452]) ).
cnf(c_0_679_680,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_453]) ).
cnf(c_0_680_681,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_454]) ).
cnf(c_0_681_682,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_455]) ).
cnf(c_0_682_683,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_456]) ).
cnf(c_0_683_684,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_457]) ).
cnf(c_0_684_685,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X8,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_False),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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_458]) ).
cnf(c_0_685_686,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_459]) ).
cnf(c_0_686_687,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_460]) ).
cnf(c_0_687_688,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_461]) ).
cnf(c_0_688_689,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_462]) ).
cnf(c_0_689_690,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_463]) ).
cnf(c_0_690_691,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_464]) ).
cnf(c_0_691_692,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_465]) ).
cnf(c_0_692_693,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_466]) ).
cnf(c_0_693_694,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_467]) ).
cnf(c_0_694_695,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_468]) ).
cnf(c_0_695_696,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_469]) ).
cnf(c_0_696_697,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_470]) ).
cnf(c_0_697_698,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_471]) ).
cnf(c_0_698_699,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_472]) ).
cnf(c_0_699_700,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_473]) ).
cnf(c_0_700_701,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_474]) ).
cnf(c_0_701_702,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_475]) ).
cnf(c_0_702_703,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_476]) ).
cnf(c_0_703_704,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_477]) ).
cnf(c_0_704_705,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_478]) ).
cnf(c_0_705_706,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_479]) ).
cnf(c_0_706_707,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OUnit,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_OBool(c_False),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_480]) ).
cnf(c_0_707_708,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_481]) ).
cnf(c_0_708_709,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_482]) ).
cnf(c_0_709_710,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_483]) ).
cnf(c_0_710_711,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_484]) ).
cnf(c_0_711_712,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_485]) ).
cnf(c_0_712_713,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_486]) ).
cnf(c_0_713_714,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_487]) ).
cnf(c_0_714_715,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_488]) ).
cnf(c_0_715_716,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_489]) ).
cnf(c_0_716_717,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_490]) ).
cnf(c_0_717_718,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_491]) ).
cnf(c_0_718_719,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_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_492]) ).
cnf(c_0_719_720,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_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_493]) ).
cnf(c_0_720_721,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_494]) ).
cnf(c_0_721_722,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_495]) ).
cnf(c_0_722_723,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_496]) ).
cnf(c_0_723_724,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_497]) ).
cnf(c_0_724_725,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_498]) ).
cnf(c_0_725_726,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_499]) ).
cnf(c_0_726_727,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_500]) ).
cnf(c_0_727_728,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_501]) ).
cnf(c_0_728_729,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_502]) ).
cnf(c_0_729_730,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(split_conjunct,[status(thm)],[c_0_503]) ).
cnf(c_0_730_731,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_504]) ).
cnf(c_0_731_732,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_505]) ).
cnf(c_0_732_733,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_506]) ).
cnf(c_0_733_734,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_507]) ).
cnf(c_0_734_735,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_508]) ).
cnf(c_0_735_736,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_509]) ).
cnf(c_0_736_737,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_510]) ).
cnf(c_0_737_738,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_511]) ).
cnf(c_0_738_739,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_512]) ).
cnf(c_0_739_740,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_513]) ).
cnf(c_0_740_741,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_514]) ).
cnf(c_0_741_742,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_515]) ).
cnf(c_0_742_743,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_516]) ).
cnf(c_0_743_744,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_517]) ).
cnf(c_0_744_745,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_518]) ).
cnf(c_0_745_746,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_519]) ).
cnf(c_0_746_747,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_520]) ).
cnf(c_0_747_748,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_521]) ).
cnf(c_0_748_749,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_522]) ).
cnf(c_0_749_750,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_523]) ).
cnf(c_0_750_751,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_524]) ).
cnf(c_0_751_752,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_525]) ).
cnf(c_0_752_753,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_526]) ).
cnf(c_0_753_754,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_527]) ).
cnf(c_0_754_755,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_528]) ).
cnf(c_0_755_756,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_529]) ).
cnf(c_0_756_757,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_530]) ).
cnf(c_0_757_758,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_531]) ).
cnf(c_0_758_759,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_532]) ).
cnf(c_0_759_760,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,X8,X9)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X7,X8,X9) ),
inference(split_conjunct,[status(thm)],[c_0_533]) ).
cnf(c_0_760_761,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_534]) ).
cnf(c_0_761_762,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_535]) ).
cnf(c_0_762_763,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_536]) ).
cnf(c_0_763_764,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_537]) ).
cnf(c_0_764_765,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_538]) ).
cnf(c_0_765_766,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_539]) ).
cnf(c_0_766_767,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X5,X8,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_767_768,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X8,X5,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_768_769,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_542]) ).
cnf(c_0_769_770,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_543]) ).
cnf(c_0_770_771,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_544]) ).
cnf(c_0_771_772,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_772_773,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_546]) ).
cnf(c_0_773_774,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_547]) ).
cnf(c_0_774_775,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_548]) ).
cnf(c_0_775_776,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_549]) ).
cnf(c_0_776_777,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_550]) ).
cnf(c_0_777_778,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_551]) ).
cnf(c_0_778_779,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_552]) ).
cnf(c_0_779_780,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_553]) ).
cnf(c_0_780_781,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_554]) ).
cnf(c_0_781_782,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_555]) ).
cnf(c_0_782_783,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_556]) ).
cnf(c_0_783_784,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_557]) ).
cnf(c_0_784_785,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_558]) ).
cnf(c_0_785_786,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_559]) ).
cnf(c_0_786_787,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_560]) ).
cnf(c_0_787_788,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_561]) ).
cnf(c_0_788_789,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_562]) ).
cnf(c_0_789_790,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_563]) ).
cnf(c_0_790_791,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_564]) ).
cnf(c_0_791_792,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_565]) ).
cnf(c_0_792_793,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_566]) ).
cnf(c_0_793_794,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_567]) ).
cnf(c_0_794_795,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_568]) ).
cnf(c_0_795_796,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_569]) ).
cnf(c_0_796_797,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_570]) ).
cnf(c_0_797_798,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_571]) ).
cnf(c_0_798_799,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_572]) ).
cnf(c_0_799_800,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_573]) ).
cnf(c_0_800_801,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_574]) ).
cnf(c_0_801_802,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_575]) ).
cnf(c_0_802_803,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_576]) ).
cnf(c_0_803_804,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_577]) ).
cnf(c_0_804_805,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_578]) ).
cnf(c_0_805_806,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_579]) ).
cnf(c_0_806_807,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_580]) ).
cnf(c_0_807_808,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_581]) ).
cnf(c_0_808_809,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_582]) ).
cnf(c_0_809_810,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_583]) ).
cnf(c_0_810_811,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_584]) ).
cnf(c_0_811_812,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_585]) ).
cnf(c_0_812_813,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_586]) ).
cnf(c_0_813_814,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_587]) ).
cnf(c_0_814_815,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_588]) ).
cnf(c_0_815_816,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_589]) ).
cnf(c_0_816_817,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_590]) ).
cnf(c_0_817_818,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_591]) ).
cnf(c_0_818_819,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_592]) ).
cnf(c_0_819_820,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_593]) ).
cnf(c_0_820_821,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_594]) ).
cnf(c_0_821_822,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X5)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),X5) ),
inference(split_conjunct,[status(thm)],[c_0_595]) ).
cnf(c_0_822_823,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_823_824,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_597]) ).
cnf(c_0_824_825,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_598]) ).
cnf(c_0_825_826,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_599]) ).
cnf(c_0_826_827,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_600]) ).
cnf(c_0_827_828,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_601]) ).
cnf(c_0_828_829,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_602]) ).
cnf(c_0_829_830,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_603]) ).
cnf(c_0_830_831,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_604]) ).
cnf(c_0_831_832,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_605]) ).
cnf(c_0_832_833,plain,
( c_Conform_Olconf(X1,X6,X3,X4,X5)
| ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_606]) ).
cnf(c_0_833_834,plain,
( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_834_835,plain,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_608]) ).
cnf(c_0_835_836,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_609]) ).
cnf(c_0_836_837,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_610]) ).
cnf(c_0_837_838,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_611]) ).
cnf(c_0_838_839,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_612]) ).
cnf(c_0_839_840,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_613]) ).
cnf(c_0_840_841,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_614]) ).
cnf(c_0_841_842,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_615]) ).
cnf(c_0_842_843,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_616]) ).
cnf(c_0_843_844,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_617]) ).
cnf(c_0_844_845,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_618]) ).
cnf(c_0_845_846,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_619]) ).
cnf(c_0_846_847,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_620]) ).
cnf(c_0_847_848,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_621]) ).
cnf(c_0_848_849,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_622]) ).
cnf(c_0_849_850,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_623]) ).
cnf(c_0_850_851,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_624]) ).
cnf(c_0_851_852,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_625]) ).
cnf(c_0_852_853,plain,
( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
| ~ c_WellType_OWT(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_626]) ).
cnf(c_0_853_854,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_627]) ).
cnf(c_0_854_855,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_628]) ).
cnf(c_0_855_856,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_629]) ).
cnf(c_0_856_857,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_630]) ).
cnf(c_0_857_858,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_631]) ).
cnf(c_0_858_859,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_632]) ).
cnf(c_0_859_860,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_633]) ).
cnf(c_0_860_861,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_634]) ).
cnf(c_0_861_862,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_635]) ).
cnf(c_0_862_863,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_636]) ).
cnf(c_0_863_864,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_637]) ).
cnf(c_0_864_865,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_638]) ).
cnf(c_0_865_866,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_639]) ).
cnf(c_0_866_867,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_640]) ).
cnf(c_0_867_868,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_641]) ).
cnf(c_0_868_869,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_642]) ).
cnf(c_0_869_870,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_643]) ).
cnf(c_0_870_871,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_644]) ).
cnf(c_0_871_872,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_645]) ).
cnf(c_0_872_873,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_646]) ).
cnf(c_0_873_874,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_647]) ).
cnf(c_0_874_875,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_648]) ).
cnf(c_0_875_876,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_649]) ).
cnf(c_0_876_877,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_650]) ).
cnf(c_0_877_878,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_651]) ).
cnf(c_0_878_879,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_879_880,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_653]) ).
cnf(c_0_880_881,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_654]) ).
cnf(c_0_881_882,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_655]) ).
cnf(c_0_882_883,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_656]) ).
cnf(c_0_883_884,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_657]) ).
cnf(c_0_884_885,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_658]) ).
cnf(c_0_885_886,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_659]) ).
cnf(c_0_886_887,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_887_888,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_888_889,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_889_890,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_890_891,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_891_892,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_892_893,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_893_894,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_894_895,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_895_896,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_896_897,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_897_898,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_898_899,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_899_900,plain,
( c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_900_901,plain,
( X1 = X2
| c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_674]) ).
cnf(c_0_901_902,plain,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_675]) ).
cnf(c_0_902_903,plain,
( X1 = X2
| c_Value_Oval_OAddr(X1) != c_Value_Oval_OAddr(X2) ),
inference(split_conjunct,[status(thm)],[c_0_676]) ).
cnf(c_0_903_904,plain,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
inference(split_conjunct,[status(thm)],[c_0_677]) ).
cnf(c_0_904_905,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_678,
[final] ).
cnf(c_0_905_906,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_679,
[final] ).
cnf(c_0_906_907,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_680,
[final] ).
cnf(c_0_907_908,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_681,
[final] ).
cnf(c_0_908_909,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_682,
[final] ).
cnf(c_0_909_910,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_683,
[final] ).
cnf(c_0_910_911,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X8,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_False),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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_684,
[final] ).
cnf(c_0_911_912,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_685,
[final] ).
cnf(c_0_912_913,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_686,
[final] ).
cnf(c_0_913_914,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_687,
[final] ).
cnf(c_0_914_915,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_688,
[final] ).
cnf(c_0_915_916,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_689,
[final] ).
cnf(c_0_916_917,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_690,
[final] ).
cnf(c_0_917_918,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_691,
[final] ).
cnf(c_0_918_919,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_692,
[final] ).
cnf(c_0_919_920,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_693,
[final] ).
cnf(c_0_920_921,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_694,
[final] ).
cnf(c_0_921_922,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_695,
[final] ).
cnf(c_0_922_923,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_696,
[final] ).
cnf(c_0_923_924,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_697,
[final] ).
cnf(c_0_924_925,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_698,
[final] ).
cnf(c_0_925_926,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_699,
[final] ).
cnf(c_0_926_927,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_700,
[final] ).
cnf(c_0_927_928,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_701,
[final] ).
cnf(c_0_928_929,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_702,
[final] ).
cnf(c_0_929_930,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_703,
[final] ).
cnf(c_0_930_931,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_704,
[final] ).
cnf(c_0_931_932,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_705,
[final] ).
cnf(c_0_932_933,plain,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OUnit,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_OBool(c_False),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_706,
[final] ).
cnf(c_0_933_934,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_707,
[final] ).
cnf(c_0_934_935,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_708,
[final] ).
cnf(c_0_935_936,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_709,
[final] ).
cnf(c_0_936_937,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_710,
[final] ).
cnf(c_0_937_938,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_711,
[final] ).
cnf(c_0_938_939,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_712,
[final] ).
cnf(c_0_939_940,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_713,
[final] ).
cnf(c_0_940_941,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_714,
[final] ).
cnf(c_0_941_942,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_715,
[final] ).
cnf(c_0_942_943,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_716,
[final] ).
cnf(c_0_943_944,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_717,
[final] ).
cnf(c_0_944_945,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_718,
[final] ).
cnf(c_0_945_946,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_719,
[final] ).
cnf(c_0_946_947,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_720,
[final] ).
cnf(c_0_947_948,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_721,
[final] ).
cnf(c_0_948_949,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_722,
[final] ).
cnf(c_0_949_950,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_723,
[final] ).
cnf(c_0_950_951,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_724,
[final] ).
cnf(c_0_951_952,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_725,
[final] ).
cnf(c_0_952_953,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_726,
[final] ).
cnf(c_0_953_954,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_727,
[final] ).
cnf(c_0_954_955,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_728,
[final] ).
cnf(c_0_955_956,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
c_0_729,
[final] ).
cnf(c_0_956_957,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_730,
[final] ).
cnf(c_0_957_958,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_731,
[final] ).
cnf(c_0_958_959,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_732,
[final] ).
cnf(c_0_959_960,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_733,
[final] ).
cnf(c_0_960_961,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_734,
[final] ).
cnf(c_0_961_962,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_735,
[final] ).
cnf(c_0_962_963,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_736,
[final] ).
cnf(c_0_963_964,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_737,
[final] ).
cnf(c_0_964_965,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_738,
[final] ).
cnf(c_0_965_966,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_739,
[final] ).
cnf(c_0_966_967,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_740,
[final] ).
cnf(c_0_967_968,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_741,
[final] ).
cnf(c_0_968_969,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_742,
[final] ).
cnf(c_0_969_970,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_743,
[final] ).
cnf(c_0_970_971,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_744,
[final] ).
cnf(c_0_971_972,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_745,
[final] ).
cnf(c_0_972_973,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_746,
[final] ).
cnf(c_0_973_974,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_747,
[final] ).
cnf(c_0_974_975,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_748,
[final] ).
cnf(c_0_975_976,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_749,
[final] ).
cnf(c_0_976_977,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_750,
[final] ).
cnf(c_0_977_978,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_751,
[final] ).
cnf(c_0_978_979,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_752,
[final] ).
cnf(c_0_979_980,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_753,
[final] ).
cnf(c_0_980_981,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_754,
[final] ).
cnf(c_0_981_982,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_755,
[final] ).
cnf(c_0_982_983,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_756,
[final] ).
cnf(c_0_983_984,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_757,
[final] ).
cnf(c_0_984_985,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_758,
[final] ).
cnf(c_0_985_986,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,X8,X9)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X7,X8,X9) ),
c_0_759,
[final] ).
cnf(c_0_986_987,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_760,
[final] ).
cnf(c_0_987_988,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_761,
[final] ).
cnf(c_0_988_989,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_762,
[final] ).
cnf(c_0_989_990,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_763,
[final] ).
cnf(c_0_990_991,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_764,
[final] ).
cnf(c_0_991_992,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_765,
[final] ).
cnf(c_0_992_993,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X5,X8,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
c_0_766,
[final] ).
cnf(c_0_993_994,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X8,X5,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
c_0_767,
[final] ).
cnf(c_0_994_995,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_768,
[final] ).
cnf(c_0_995_996,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_769,
[final] ).
cnf(c_0_996_997,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_770,
[final] ).
cnf(c_0_997_998,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
c_0_771,
[final] ).
cnf(c_0_998_999,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_772,
[final] ).
cnf(c_0_999_1000,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_773,
[final] ).
cnf(c_0_1000_1001,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_774,
[final] ).
cnf(c_0_1001_1002,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_775,
[final] ).
cnf(c_0_1002_1003,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_776,
[final] ).
cnf(c_0_1003_1004,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_777,
[final] ).
cnf(c_0_1004_1005,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_778,
[final] ).
cnf(c_0_1005_1006,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_779,
[final] ).
cnf(c_0_1006_1007,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_780,
[final] ).
cnf(c_0_1007_1008,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_781,
[final] ).
cnf(c_0_1008_1009,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_782,
[final] ).
cnf(c_0_1009_1010,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_783,
[final] ).
cnf(c_0_1010_1011,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_784,
[final] ).
cnf(c_0_1011_1012,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_785,
[final] ).
cnf(c_0_1012_1013,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_786,
[final] ).
cnf(c_0_1013_1014,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_787,
[final] ).
cnf(c_0_1014_1015,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_788,
[final] ).
cnf(c_0_1015_1016,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_789,
[final] ).
cnf(c_0_1016_1017,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_790,
[final] ).
cnf(c_0_1017_1018,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_791,
[final] ).
cnf(c_0_1018_1019,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_792,
[final] ).
cnf(c_0_1019_1020,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_793,
[final] ).
cnf(c_0_1020_1021,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_794,
[final] ).
cnf(c_0_1021_1022,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_795,
[final] ).
cnf(c_0_1022_1023,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
c_0_796,
[final] ).
cnf(c_0_1023_1024,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
c_0_797,
[final] ).
cnf(c_0_1024_1025,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
c_0_798,
[final] ).
cnf(c_0_1025_1026,plain,
( X1 = X2
| c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
c_0_799,
[final] ).
cnf(c_0_1026_1027,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
c_0_800,
[final] ).
cnf(c_0_1027_1028,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
c_0_801,
[final] ).
cnf(c_0_1028_1029,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
c_0_802,
[final] ).
cnf(c_0_1029_1030,plain,
( X1 = X2
| c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
c_0_803,
[final] ).
cnf(c_0_1030_1031,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_804,
[final] ).
cnf(c_0_1031_1032,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_805,
[final] ).
cnf(c_0_1032_1033,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_806,
[final] ).
cnf(c_0_1033_1034,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_807,
[final] ).
cnf(c_0_1034_1035,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_808,
[final] ).
cnf(c_0_1035_1036,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_809,
[final] ).
cnf(c_0_1036_1037,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_810,
[final] ).
cnf(c_0_1037_1038,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_811,
[final] ).
cnf(c_0_1038_1039,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_812,
[final] ).
cnf(c_0_1039_1040,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_813,
[final] ).
cnf(c_0_1040_1041,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_814,
[final] ).
cnf(c_0_1041_1042,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_815,
[final] ).
cnf(c_0_1042_1043,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_816,
[final] ).
cnf(c_0_1043_1044,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_817,
[final] ).
cnf(c_0_1044_1045,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_818,
[final] ).
cnf(c_0_1045_1046,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_819,
[final] ).
cnf(c_0_1046_1047,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_820,
[final] ).
cnf(c_0_1047_1048,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X5)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),X5) ),
c_0_821,
[final] ).
cnf(c_0_1048_1049,plain,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4) ),
c_0_822,
[final] ).
cnf(c_0_1049_1050,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_823,
[final] ).
cnf(c_0_1050_1051,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_824,
[final] ).
cnf(c_0_1051_1052,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_825,
[final] ).
cnf(c_0_1052_1053,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_826,
[final] ).
cnf(c_0_1053_1054,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_827,
[final] ).
cnf(c_0_1054_1055,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_828,
[final] ).
cnf(c_0_1055_1056,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_829,
[final] ).
cnf(c_0_1056_1057,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_830,
[final] ).
cnf(c_0_1057_1058,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_831,
[final] ).
cnf(c_0_1058_1059,plain,
( c_Conform_Olconf(X1,X6,X3,X4,X5)
| ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
c_0_832,
[final] ).
cnf(c_0_1059_1060,plain,
( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
c_0_833,
[final] ).
cnf(c_0_1060_1061,plain,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
c_0_834,
[final] ).
cnf(c_0_1061_1062,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
c_0_835,
[final] ).
cnf(c_0_1062_1063,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_836,
[final] ).
cnf(c_0_1063_1064,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_837,
[final] ).
cnf(c_0_1064_1065,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_838,
[final] ).
cnf(c_0_1065_1066,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_839,
[final] ).
cnf(c_0_1066_1067,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_840,
[final] ).
cnf(c_0_1067_1068,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_841,
[final] ).
cnf(c_0_1068_1069,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_842,
[final] ).
cnf(c_0_1069_1070,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_843,
[final] ).
cnf(c_0_1070_1071,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_844,
[final] ).
cnf(c_0_1071_1072,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_845,
[final] ).
cnf(c_0_1072_1073,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_846,
[final] ).
cnf(c_0_1073_1074,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_847,
[final] ).
cnf(c_0_1074_1075,plain,
( X5 = X3
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
c_0_848,
[final] ).
cnf(c_0_1075_1076,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
c_0_849,
[final] ).
cnf(c_0_1076_1077,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_850,
[final] ).
cnf(c_0_1077_1078,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_851,
[final] ).
cnf(c_0_1078_1079,plain,
( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
| ~ c_WellType_OWT(X1,X2,X3,X4) ),
c_0_852,
[final] ).
cnf(c_0_1079_1080,plain,
( c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4) ),
c_0_853,
[final] ).
cnf(c_0_1080_1081,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_854,
[final] ).
cnf(c_0_1081_1082,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_855,
[final] ).
cnf(c_0_1082_1083,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_856,
[final] ).
cnf(c_0_1083_1084,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_857,
[final] ).
cnf(c_0_1084_1085,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_858,
[final] ).
cnf(c_0_1085_1086,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_859,
[final] ).
cnf(c_0_1086_1087,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_860,
[final] ).
cnf(c_0_1087_1088,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_861,
[final] ).
cnf(c_0_1088_1089,plain,
( X4 = c_Value_Oval_ONull
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),c_Type_Oty_ONT)) ),
c_0_862,
[final] ).
cnf(c_0_1089_1090,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_863,
[final] ).
cnf(c_0_1090_1091,plain,
( X1 = X2
| ~ c_Map_Omap__le(X1,X2,X3,X4)
| ~ c_Map_Omap__le(X2,X1,X3,X4) ),
c_0_864,
[final] ).
cnf(c_0_1091_1092,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X4,X1,X5) != c_Expr_Oexp_OBlock(X6,X7,X2,X5) ),
c_0_865,
[final] ).
cnf(c_0_1092_1093,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X3,X1,X4,X5) != c_Expr_Oexp_OBlock(X6,X2,X7,X5) ),
c_0_866,
[final] ).
cnf(c_0_1093_1094,plain,
( X1 = X2
| c_Expr_Oexp_OBlock(X1,X3,X4,X5) != c_Expr_Oexp_OBlock(X2,X6,X7,X5) ),
c_0_867,
[final] ).
cnf(c_0_1094_1095,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
c_0_868,
[final] ).
cnf(c_0_1095_1096,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
c_0_869,
[final] ).
cnf(c_0_1096_1097,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
c_0_870,
[final] ).
cnf(c_0_1097_1098,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
c_0_871,
[final] ).
cnf(c_0_1098_1099,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
c_0_872,
[final] ).
cnf(c_0_1099_1100,plain,
( X1 = X2
| c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
c_0_873,
[final] ).
cnf(c_0_1100_1101,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
c_0_874,
[final] ).
cnf(c_0_1101_1102,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
c_0_875,
[final] ).
cnf(c_0_1102_1103,plain,
( X1 = X2
| c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
c_0_876,
[final] ).
cnf(c_0_1103_1104,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
c_0_877,
[final] ).
cnf(c_0_1104_1105,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
c_0_878,
[final] ).
cnf(c_0_1105_1106,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
c_0_879,
[final] ).
cnf(c_0_1106_1107,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
c_0_880,
[final] ).
cnf(c_0_1107_1108,plain,
( X1 = X2
| c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
c_0_881,
[final] ).
cnf(c_0_1108_1109,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_882,
[final] ).
cnf(c_0_1109_1110,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_883,
[final] ).
cnf(c_0_1110_1111,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_884,
[final] ).
cnf(c_0_1111_1112,plain,
( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,X2,tc_prod(X3,X3)) ),
c_0_885,
[final] ).
cnf(c_0_1112_1113,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
c_0_886,
[final] ).
cnf(c_0_1113_1114,plain,
( X1 = X2
| c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
c_0_887,
[final] ).
cnf(c_0_1114_1115,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
c_0_888,
[final] ).
cnf(c_0_1115_1116,plain,
( X1 = X2
| c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
c_0_889,
[final] ).
cnf(c_0_1116_1117,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_890,
[final] ).
cnf(c_0_1117_1118,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_891,
[final] ).
cnf(c_0_1118_1119,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
c_0_892,
[final] ).
cnf(c_0_1119_1120,plain,
( X1 = X2
| c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
c_0_893,
[final] ).
cnf(c_0_1120_1121,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
c_0_894,
[final] ).
cnf(c_0_1121_1122,plain,
( X1 = X2
| c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
c_0_895,
[final] ).
cnf(c_0_1122_1123,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
c_0_896,
[final] ).
cnf(c_0_1123_1124,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
c_0_897,
[final] ).
cnf(c_0_1124_1125,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_898,
[final] ).
cnf(c_0_1125_1126,plain,
( c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X2,X3) ),
c_0_899,
[final] ).
cnf(c_0_1126_1127,plain,
( X1 = X2
| c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
c_0_900,
[final] ).
cnf(c_0_1127_1128,plain,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
c_0_901,
[final] ).
cnf(c_0_1128_1129,plain,
( X1 = X2
| c_Value_Oval_OAddr(X1) != c_Value_Oval_OAddr(X2) ),
c_0_902,
[final] ).
cnf(c_0_1129_1130,plain,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
c_0_903,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_904_0,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_904]) ).
cnf(c_0_904_1,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_904]) ).
cnf(c_0_905_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_905]) ).
cnf(c_0_905_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X5,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(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_905]) ).
cnf(c_0_905_2,axiom,
( ~ c_in(c_Pair(c_Pair(X5,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(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_905]) ).
cnf(c_0_905_3,axiom,
( ~ c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X5,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(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X8,X9,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_905]) ).
cnf(c_0_906_0,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_906]) ).
cnf(c_0_906_1,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_906]) ).
cnf(c_0_907_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_907]) ).
cnf(c_0_907_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_907]) ).
cnf(c_0_907_2,axiom,
( ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_907]) ).
cnf(c_0_908_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_908]) ).
cnf(c_0_908_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_908]) ).
cnf(c_0_908_2,axiom,
( ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_908]) ).
cnf(c_0_909_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_909]) ).
cnf(c_0_909_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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_OCond(X1,X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_909]) ).
cnf(c_0_909_2,axiom,
( ~ c_in(c_Pair(c_Pair(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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_OCond(X1,X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_909]) ).
cnf(c_0_910_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X8,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_False),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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_910]) ).
cnf(c_0_910_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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_OCond(X1,X8,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_910]) ).
cnf(c_0_910_2,axiom,
( ~ c_in(c_Pair(c_Pair(X5,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(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_False),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_OCond(X1,X8,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X6,X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_910]) ).
cnf(c_0_911_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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(X5,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_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_911]) ).
cnf(c_0_911_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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(X5,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_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_911]) ).
cnf(c_0_911_2,axiom,
( ~ c_in(c_Pair(c_Pair(X5,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_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_OBool(c_True),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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(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_911]) ).
cnf(c_0_912_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_912]) ).
cnf(c_0_912_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_912]) ).
cnf(c_0_912_2,axiom,
( ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_912]) ).
cnf(c_0_913_0,axiom,
( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_913]) ).
cnf(c_0_913_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_913]) ).
cnf(c_0_914_0,axiom,
( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_914]) ).
cnf(c_0_914_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_914]) ).
cnf(c_0_915_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_915]) ).
cnf(c_0_915_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_915]) ).
cnf(c_0_916_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_916]) ).
cnf(c_0_916_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_916]) ).
cnf(c_0_917_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_917]) ).
cnf(c_0_917_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_917]) ).
cnf(c_0_918_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_918]) ).
cnf(c_0_918_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_918]) ).
cnf(c_0_919_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_919]) ).
cnf(c_0_919_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_919]) ).
cnf(c_0_920_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_920]) ).
cnf(c_0_920_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_920]) ).
cnf(c_0_921_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_921]) ).
cnf(c_0_921_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_921]) ).
cnf(c_0_922_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_922]) ).
cnf(c_0_922_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_922]) ).
cnf(c_0_923_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_923]) ).
cnf(c_0_923_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_923]) ).
cnf(c_0_924_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_924]) ).
cnf(c_0_924_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_924]) ).
cnf(c_0_925_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_925]) ).
cnf(c_0_925_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_925]) ).
cnf(c_0_926_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_926]) ).
cnf(c_0_926_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_926]) ).
cnf(c_0_927_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_927]) ).
cnf(c_0_927_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_927]) ).
cnf(c_0_928_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_928]) ).
cnf(c_0_928_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_928]) ).
cnf(c_0_929_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_929]) ).
cnf(c_0_929_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_929]) ).
cnf(c_0_930_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_930]) ).
cnf(c_0_930_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_930]) ).
cnf(c_0_931_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_931]) ).
cnf(c_0_931_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_931]) ).
cnf(c_0_932_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OUnit,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_OBool(c_False),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_932]) ).
cnf(c_0_932_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),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_OWhile(X1,X5,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_OUnit,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_932]) ).
cnf(c_0_933_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_933]) ).
cnf(c_0_933_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_933]) ).
cnf(c_0_934_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_934]) ).
cnf(c_0_934_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_934]) ).
cnf(c_0_935_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_935]) ).
cnf(c_0_935_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_935]) ).
cnf(c_0_936_0,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_936]) ).
cnf(c_0_936_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_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_936]) ).
cnf(c_0_937_0,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_937]) ).
cnf(c_0_937_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(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_937]) ).
cnf(c_0_938_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_938]) ).
cnf(c_0_938_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_938]) ).
cnf(c_0_939_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_939]) ).
cnf(c_0_939_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_939]) ).
cnf(c_0_940_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_940]) ).
cnf(c_0_940_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_940]) ).
cnf(c_0_941_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_941]) ).
cnf(c_0_941_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_941]) ).
cnf(c_0_942_0,axiom,
( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_942]) ).
cnf(c_0_942_1,axiom,
( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
| c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
inference(literals_permutation,[status(thm)],[c_0_942]) ).
cnf(c_0_943_0,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_943]) ).
cnf(c_0_943_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__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_943]) ).
cnf(c_0_943_2,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_943]) ).
cnf(c_0_944_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_944]) ).
cnf(c_0_944_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_944]) ).
cnf(c_0_945_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_945]) ).
cnf(c_0_945_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_945]) ).
cnf(c_0_946_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_946]) ).
cnf(c_0_946_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_946]) ).
cnf(c_0_947_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_947]) ).
cnf(c_0_947_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_947]) ).
cnf(c_0_948_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_948]) ).
cnf(c_0_948_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_948]) ).
cnf(c_0_949_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_949]) ).
cnf(c_0_949_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_949]) ).
cnf(c_0_950_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_950]) ).
cnf(c_0_950_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_950]) ).
cnf(c_0_951_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_951]) ).
cnf(c_0_951_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_951]) ).
cnf(c_0_952_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_952]) ).
cnf(c_0_952_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_952]) ).
cnf(c_0_953_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_953]) ).
cnf(c_0_953_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_953]) ).
cnf(c_0_953_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_953]) ).
cnf(c_0_954_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_954]) ).
cnf(c_0_954_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_954]) ).
cnf(c_0_954_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_954]) ).
cnf(c_0_954_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_954]) ).
cnf(c_0_955_1,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(literals_permutation,[status(thm)],[c_0_955]) ).
cnf(c_0_955_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__7__1(X6,X3,X5,X1,X7,X4,X2)))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(literals_permutation,[status(thm)],[c_0_955]) ).
cnf(c_0_955_3,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_955]) ).
cnf(c_0_956_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_956]) ).
cnf(c_0_956_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_956]) ).
cnf(c_0_956_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_956]) ).
cnf(c_0_957_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_957]) ).
cnf(c_0_957_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_957]) ).
cnf(c_0_957_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_957]) ).
cnf(c_0_958_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_958]) ).
cnf(c_0_958_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_958]) ).
cnf(c_0_958_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_958]) ).
cnf(c_0_958_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_958]) ).
cnf(c_0_959_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_959]) ).
cnf(c_0_959_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_959]) ).
cnf(c_0_960_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_960]) ).
cnf(c_0_960_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_960]) ).
cnf(c_0_960_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_960]) ).
cnf(c_0_960_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_960]) ).
cnf(c_0_961_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_961]) ).
cnf(c_0_961_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_961]) ).
cnf(c_0_961_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_961]) ).
cnf(c_0_962_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_962]) ).
cnf(c_0_962_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_962]) ).
cnf(c_0_962_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_962]) ).
cnf(c_0_963_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_963]) ).
cnf(c_0_963_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_963]) ).
cnf(c_0_963_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_963]) ).
cnf(c_0_964_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_964]) ).
cnf(c_0_964_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_964]) ).
cnf(c_0_964_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_964]) ).
cnf(c_0_965_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_965]) ).
cnf(c_0_965_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_965]) ).
cnf(c_0_965_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_965]) ).
cnf(c_0_966_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_966]) ).
cnf(c_0_966_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_966]) ).
cnf(c_0_966_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_966]) ).
cnf(c_0_967_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_967]) ).
cnf(c_0_967_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_967]) ).
cnf(c_0_968_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_968]) ).
cnf(c_0_968_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_968]) ).
cnf(c_0_969_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_969]) ).
cnf(c_0_969_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_969]) ).
cnf(c_0_970_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_970]) ).
cnf(c_0_970_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_970]) ).
cnf(c_0_971_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_971]) ).
cnf(c_0_971_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_971]) ).
cnf(c_0_972_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_972]) ).
cnf(c_0_972_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_972]) ).
cnf(c_0_972_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_972]) ).
cnf(c_0_973_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_973]) ).
cnf(c_0_973_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_973]) ).
cnf(c_0_973_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_973]) ).
cnf(c_0_974_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_974]) ).
cnf(c_0_974_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_974]) ).
cnf(c_0_974_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_974]) ).
cnf(c_0_975_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_975]) ).
cnf(c_0_975_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_975]) ).
cnf(c_0_975_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_975]) ).
cnf(c_0_975_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_975]) ).
cnf(c_0_975_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_975]) ).
cnf(c_0_975_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_975]) ).
cnf(c_0_976_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_976]) ).
cnf(c_0_976_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_976]) ).
cnf(c_0_976_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_976]) ).
cnf(c_0_976_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_976]) ).
cnf(c_0_976_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_976]) ).
cnf(c_0_976_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_976]) ).
cnf(c_0_977_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_977]) ).
cnf(c_0_977_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_977]) ).
cnf(c_0_977_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_977]) ).
cnf(c_0_977_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_977]) ).
cnf(c_0_977_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_977]) ).
cnf(c_0_977_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_977]) ).
cnf(c_0_978_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_978]) ).
cnf(c_0_978_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_978]) ).
cnf(c_0_978_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_978]) ).
cnf(c_0_978_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_978]) ).
cnf(c_0_978_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_978]) ).
cnf(c_0_978_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_978]) ).
cnf(c_0_979_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_979]) ).
cnf(c_0_979_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_979]) ).
cnf(c_0_979_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_979]) ).
cnf(c_0_979_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_979]) ).
cnf(c_0_979_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_979]) ).
cnf(c_0_980_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_980]) ).
cnf(c_0_980_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_980]) ).
cnf(c_0_980_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_980]) ).
cnf(c_0_980_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_980]) ).
cnf(c_0_980_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_980]) ).
cnf(c_0_981_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_981]) ).
cnf(c_0_981_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_981]) ).
cnf(c_0_982_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_982]) ).
cnf(c_0_982_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_982]) ).
cnf(c_0_983_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_983]) ).
cnf(c_0_983_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_983]) ).
cnf(c_0_984_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_984]) ).
cnf(c_0_984_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_984]) ).
cnf(c_0_984_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_984]) ).
cnf(c_0_985_1,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,X8,X9)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X7,X8,X9) ),
inference(literals_permutation,[status(thm)],[c_0_985]) ).
cnf(c_0_985_2,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,X8,X9)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X7,X8,X9) ),
inference(literals_permutation,[status(thm)],[c_0_985]) ).
cnf(c_0_985_3,axiom,
( ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,X8,X9)
| ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X7,X8,X9) ),
inference(literals_permutation,[status(thm)],[c_0_985]) ).
cnf(c_0_985_4,axiom,
( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X7,X8,X9)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,X8,X9) ),
inference(literals_permutation,[status(thm)],[c_0_985]) ).
cnf(c_0_986_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_986]) ).
cnf(c_0_986_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_986]) ).
cnf(c_0_986_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_986]) ).
cnf(c_0_987_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_987]) ).
cnf(c_0_987_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_987]) ).
cnf(c_0_988_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_988]) ).
cnf(c_0_988_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_988]) ).
cnf(c_0_988_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_988]) ).
cnf(c_0_989_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_989]) ).
cnf(c_0_989_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_989]) ).
cnf(c_0_989_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_989]) ).
cnf(c_0_990_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_990]) ).
cnf(c_0_990_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_990]) ).
cnf(c_0_991_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_991]) ).
cnf(c_0_991_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_991]) ).
cnf(c_0_992_1,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X5,X8,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_992]) ).
cnf(c_0_992_2,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X5,X8,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_992]) ).
cnf(c_0_992_3,axiom,
( ~ c_BigStep_Oeval(X1,X5,X4,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X5,X8,tc_List_Olist(tc_String_Ochar)),X3,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_992]) ).
cnf(c_0_993_1,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X8,X5,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_993]) ).
cnf(c_0_993_2,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X8,X5,tc_List_Olist(tc_String_Ochar)),X3,X6,X7)
| ~ c_BigStep_Oeval(X1,X5,X4,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_993]) ).
cnf(c_0_993_3,axiom,
( ~ c_BigStep_Oeval(X1,X5,X4,X6,X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X8,X5,tc_List_Olist(tc_String_Ochar)),X3,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_993]) ).
cnf(c_0_994_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_994]) ).
cnf(c_0_994_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_994]) ).
cnf(c_0_994_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_994]) ).
cnf(c_0_995_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_995]) ).
cnf(c_0_995_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_995]) ).
cnf(c_0_995_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_995]) ).
cnf(c_0_996_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_996]) ).
cnf(c_0_996_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_996]) ).
cnf(c_0_996_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_996]) ).
cnf(c_0_997_1,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(literals_permutation,[status(thm)],[c_0_997]) ).
cnf(c_0_997_2,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(literals_permutation,[status(thm)],[c_0_997]) ).
cnf(c_0_997_3,axiom,
( ~ c_BigStep_Oeval(X1,X5,X4,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_True),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(literals_permutation,[status(thm)],[c_0_997]) ).
cnf(c_0_998_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_998]) ).
cnf(c_0_998_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_998]) ).
cnf(c_0_998_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_998]) ).
cnf(c_0_999_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_999]) ).
cnf(c_0_999_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_999]) ).
cnf(c_0_1000_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_1000]) ).
cnf(c_0_1000_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_1000]) ).
cnf(c_0_1000_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_1000]) ).
cnf(c_0_1001_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_1001]) ).
cnf(c_0_1001_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_1001]) ).
cnf(c_0_1001_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_1001]) ).
cnf(c_0_1002_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_1002]) ).
cnf(c_0_1002_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_1002]) ).
cnf(c_0_1002_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_1002]) ).
cnf(c_0_1003_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_1003]) ).
cnf(c_0_1003_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_1003]) ).
cnf(c_0_1004_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_1004]) ).
cnf(c_0_1004_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_1004]) ).
cnf(c_0_1004_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_1004]) ).
cnf(c_0_1005_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_1005]) ).
cnf(c_0_1005_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_1005]) ).
cnf(c_0_1005_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_1005]) ).
cnf(c_0_1006_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_1006]) ).
cnf(c_0_1006_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_1006]) ).
cnf(c_0_1006_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_1006]) ).
cnf(c_0_1007_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_1007]) ).
cnf(c_0_1007_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_1007]) ).
cnf(c_0_1008_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_1008]) ).
cnf(c_0_1008_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_1008]) ).
cnf(c_0_1009_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_1009]) ).
cnf(c_0_1009_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_1009]) ).
cnf(c_0_1009_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_1009]) ).
cnf(c_0_1010_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_1010]) ).
cnf(c_0_1010_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_1010]) ).
cnf(c_0_1011_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_1011]) ).
cnf(c_0_1011_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_1011]) ).
cnf(c_0_1012_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_1012]) ).
cnf(c_0_1012_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_1012]) ).
cnf(c_0_1013_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_1013]) ).
cnf(c_0_1013_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_1013]) ).
cnf(c_0_1014_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_1014]) ).
cnf(c_0_1014_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_1014]) ).
cnf(c_0_1015_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_1015]) ).
cnf(c_0_1015_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_1015]) ).
cnf(c_0_1016_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_1016]) ).
cnf(c_0_1016_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_1016]) ).
cnf(c_0_1017_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_1017]) ).
cnf(c_0_1017_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_1017]) ).
cnf(c_0_1017_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_1017]) ).
cnf(c_0_1017_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_1017]) ).
cnf(c_0_1017_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_1017]) ).
cnf(c_0_1017_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_1017]) ).
cnf(c_0_1018_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_1018]) ).
cnf(c_0_1018_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_1018]) ).
cnf(c_0_1018_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_1018]) ).
cnf(c_0_1018_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_1018]) ).
cnf(c_0_1018_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_1018]) ).
cnf(c_0_1018_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_1018]) ).
cnf(c_0_1019_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_1019]) ).
cnf(c_0_1019_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_1019]) ).
cnf(c_0_1020_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_1020]) ).
cnf(c_0_1020_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_1020]) ).
cnf(c_0_1021_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_1021]) ).
cnf(c_0_1021_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_1021]) ).
cnf(c_0_1022_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_1022]) ).
cnf(c_0_1022_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_1022]) ).
cnf(c_0_1023_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_1023]) ).
cnf(c_0_1023_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_1023]) ).
cnf(c_0_1024_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_1024]) ).
cnf(c_0_1024_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_1024]) ).
cnf(c_0_1025_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_1025]) ).
cnf(c_0_1025_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_1025]) ).
cnf(c_0_1026_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_1026]) ).
cnf(c_0_1026_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_1026]) ).
cnf(c_0_1027_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_1027]) ).
cnf(c_0_1027_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_1027]) ).
cnf(c_0_1028_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_1028]) ).
cnf(c_0_1028_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_1028]) ).
cnf(c_0_1029_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_1029]) ).
cnf(c_0_1029_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_1029]) ).
cnf(c_0_1030_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_1030]) ).
cnf(c_0_1030_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_1030]) ).
cnf(c_0_1031_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_1031]) ).
cnf(c_0_1031_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_1031]) ).
cnf(c_0_1032_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_1032]) ).
cnf(c_0_1032_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_1032]) ).
cnf(c_0_1033_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_1033]) ).
cnf(c_0_1033_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_1033]) ).
cnf(c_0_1034_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_1034]) ).
cnf(c_0_1034_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_1034]) ).
cnf(c_0_1035_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_1035]) ).
cnf(c_0_1035_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_1035]) ).
cnf(c_0_1035_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_1035]) ).
cnf(c_0_1036_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_1036]) ).
cnf(c_0_1036_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_1036]) ).
cnf(c_0_1037_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_1037]) ).
cnf(c_0_1037_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_1037]) ).
cnf(c_0_1038_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_1038]) ).
cnf(c_0_1038_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_1038]) ).
cnf(c_0_1038_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_1038]) ).
cnf(c_0_1039_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_1039]) ).
cnf(c_0_1039_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_1039]) ).
cnf(c_0_1039_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_1039]) ).
cnf(c_0_1040_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_1040]) ).
cnf(c_0_1040_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_1040]) ).
cnf(c_0_1040_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_1040]) ).
cnf(c_0_1041_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_1041]) ).
cnf(c_0_1041_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_1041]) ).
cnf(c_0_1041_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_1041]) ).
cnf(c_0_1042_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_1042]) ).
cnf(c_0_1042_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_1042]) ).
cnf(c_0_1043_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_1043]) ).
cnf(c_0_1043_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_1043]) ).
cnf(c_0_1043_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_1043]) ).
cnf(c_0_1044_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_1044]) ).
cnf(c_0_1044_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_1044]) ).
cnf(c_0_1045_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_1045]) ).
cnf(c_0_1045_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_1045]) ).
cnf(c_0_1046_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_1046]) ).
cnf(c_0_1046_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_1046]) ).
cnf(c_0_1047_1,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X5)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1047]) ).
cnf(c_0_1047_2,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(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(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(X4),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1047]) ).
cnf(c_0_1048_1,axiom,
( c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X4)
| ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1048]) ).
cnf(c_0_1048_2,axiom,
( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(c_Value_Oval_OBool(c_False),tc_List_Olist(tc_String_Ochar)),X4)
| c_BigStep_Oeval(X1,c_Expr_Oexp_OWhile(X2,X5,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(c_Value_Oval_OUnit,tc_List_Olist(tc_String_Ochar)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1048]) ).
cnf(c_0_1049_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_1049]) ).
cnf(c_0_1049_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_1049]) ).
cnf(c_0_1050_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_1050]) ).
cnf(c_0_1050_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_1050]) ).
cnf(c_0_1051_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_1051]) ).
cnf(c_0_1051_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_1051]) ).
cnf(c_0_1052_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_1052]) ).
cnf(c_0_1052_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_1052]) ).
cnf(c_0_1053_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_1053]) ).
cnf(c_0_1053_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_1053]) ).
cnf(c_0_1054_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_1054]) ).
cnf(c_0_1054_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_1054]) ).
cnf(c_0_1055_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_1055]) ).
cnf(c_0_1055_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_1055]) ).
cnf(c_0_1056_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_1056]) ).
cnf(c_0_1056_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_1056]) ).
cnf(c_0_1057_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_1057]) ).
cnf(c_0_1057_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_1057]) ).
cnf(c_0_1057_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_1057]) ).
cnf(c_0_1057_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_1057]) ).
cnf(c_0_1057_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_1057]) ).
cnf(c_0_1058_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_1058]) ).
cnf(c_0_1058_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_1058]) ).
cnf(c_0_1058_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_1058]) ).
cnf(c_0_1059_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_1059]) ).
cnf(c_0_1059_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_1059]) ).
cnf(c_0_1059_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_1059]) ).
cnf(c_0_1060_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_1060]) ).
cnf(c_0_1060_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_1060]) ).
cnf(c_0_1061_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_1061]) ).
cnf(c_0_1061_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_1061]) ).
cnf(c_0_1062_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_1062]) ).
cnf(c_0_1062_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_1062]) ).
cnf(c_0_1062_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_1062]) ).
cnf(c_0_1063_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_1063]) ).
cnf(c_0_1063_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_1063]) ).
cnf(c_0_1064_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_1064]) ).
cnf(c_0_1064_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_1064]) ).
cnf(c_0_1064_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_1064]) ).
cnf(c_0_1064_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_1064]) ).
cnf(c_0_1065_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_1065]) ).
cnf(c_0_1065_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_1065]) ).
cnf(c_0_1065_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_1065]) ).
cnf(c_0_1065_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_1065]) ).
cnf(c_0_1066_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_1066]) ).
cnf(c_0_1066_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_1066]) ).
cnf(c_0_1066_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_1066]) ).
cnf(c_0_1066_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_1066]) ).
cnf(c_0_1067_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_1067]) ).
cnf(c_0_1067_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_1067]) ).
cnf(c_0_1067_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_1067]) ).
cnf(c_0_1068_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_1068]) ).
cnf(c_0_1068_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_1068]) ).
cnf(c_0_1068_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_1068]) ).
cnf(c_0_1069_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_1069]) ).
cnf(c_0_1069_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_1069]) ).
cnf(c_0_1069_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_1069]) ).
cnf(c_0_1070_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_1070]) ).
cnf(c_0_1070_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_1070]) ).
cnf(c_0_1071_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_1071]) ).
cnf(c_0_1071_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_1071]) ).
cnf(c_0_1072_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_1072]) ).
cnf(c_0_1072_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_1072]) ).
cnf(c_0_1073_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_1073]) ).
cnf(c_0_1073_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_1073]) ).
cnf(c_0_1074_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_1074]) ).
cnf(c_0_1074_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_1074]) ).
cnf(c_0_1075_1,axiom,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1075]) ).
cnf(c_0_1075_2,axiom,
( ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1075]) ).
cnf(c_0_1076_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_1076]) ).
cnf(c_0_1076_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_1076]) ).
cnf(c_0_1077_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_1077]) ).
cnf(c_0_1077_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_1077]) ).
cnf(c_0_1077_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_1077]) ).
cnf(c_0_1078_1,axiom,
( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
| ~ c_WellType_OWT(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1078]) ).
cnf(c_0_1078_2,axiom,
( ~ c_WellType_OWT(X1,X2,X3,X4)
| c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1078]) ).
cnf(c_0_1079_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_1079]) ).
cnf(c_0_1079_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_1079]) ).
cnf(c_0_1080_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_1080]) ).
cnf(c_0_1080_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_1080]) ).
cnf(c_0_1081_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_1081]) ).
cnf(c_0_1081_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_1081]) ).
cnf(c_0_1082_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_1082]) ).
cnf(c_0_1082_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_1082]) ).
cnf(c_0_1082_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_1082]) ).
cnf(c_0_1083_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_1083]) ).
cnf(c_0_1083_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_1083]) ).
cnf(c_0_1083_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_1083]) ).
cnf(c_0_1084_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_1084]) ).
cnf(c_0_1084_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_1084]) ).
cnf(c_0_1084_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_1084]) ).
cnf(c_0_1085_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_1085]) ).
cnf(c_0_1085_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_1085]) ).
cnf(c_0_1085_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_1085]) ).
cnf(c_0_1086_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_1086]) ).
cnf(c_0_1086_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_1086]) ).
cnf(c_0_1087_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_1087]) ).
cnf(c_0_1087_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_1087]) ).
cnf(c_0_1088_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_1088]) ).
cnf(c_0_1088_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_1088]) ).
cnf(c_0_1089_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_1089]) ).
cnf(c_0_1089_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_1089]) ).
cnf(c_0_1090_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_1090]) ).
cnf(c_0_1090_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_1090]) ).
cnf(c_0_1090_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_1090]) ).
cnf(c_0_1091_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_1091]) ).
cnf(c_0_1091_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_1091]) ).
cnf(c_0_1092_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_1092]) ).
cnf(c_0_1092_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_1092]) ).
cnf(c_0_1093_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_1093]) ).
cnf(c_0_1093_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_1093]) ).
cnf(c_0_1094_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_1094]) ).
cnf(c_0_1094_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_1094]) ).
cnf(c_0_1095_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_1095]) ).
cnf(c_0_1095_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_1095]) ).
cnf(c_0_1096_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_1096]) ).
cnf(c_0_1096_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_1096]) ).
cnf(c_0_1097_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_1097]) ).
cnf(c_0_1097_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_1097]) ).
cnf(c_0_1098_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_1098]) ).
cnf(c_0_1098_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_1098]) ).
cnf(c_0_1099_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_1099]) ).
cnf(c_0_1099_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_1099]) ).
cnf(c_0_1100_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_1100]) ).
cnf(c_0_1100_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_1100]) ).
cnf(c_0_1101_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_1101]) ).
cnf(c_0_1101_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_1101]) ).
cnf(c_0_1102_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_1102]) ).
cnf(c_0_1102_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_1102]) ).
cnf(c_0_1103_1,axiom,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1103]) ).
cnf(c_0_1103_2,axiom,
( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1103]) ).
cnf(c_0_1104_1,axiom,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1104]) ).
cnf(c_0_1104_2,axiom,
( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1104]) ).
cnf(c_0_1105_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_1105]) ).
cnf(c_0_1105_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_1105]) ).
cnf(c_0_1106_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_1106]) ).
cnf(c_0_1106_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_1106]) ).
cnf(c_0_1107_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_1107]) ).
cnf(c_0_1107_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_1107]) ).
cnf(c_0_1108_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_1108]) ).
cnf(c_0_1108_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_1108]) ).
cnf(c_0_1108_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_1108]) ).
cnf(c_0_1109_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_1109]) ).
cnf(c_0_1109_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_1109]) ).
cnf(c_0_1110_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_1110]) ).
cnf(c_0_1110_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_1110]) ).
cnf(c_0_1111_1,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_1111]) ).
cnf(c_0_1111_2,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_1111]) ).
cnf(c_0_1112_1,axiom,
( X1 = X2
| c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1112]) ).
cnf(c_0_1112_2,axiom,
( c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1112]) ).
cnf(c_0_1113_1,axiom,
( X1 = X2
| c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1113]) ).
cnf(c_0_1113_2,axiom,
( c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1113]) ).
cnf(c_0_1114_1,axiom,
( X1 = X2
| c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1114]) ).
cnf(c_0_1114_2,axiom,
( c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1114]) ).
cnf(c_0_1115_1,axiom,
( X1 = X2
| c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1115]) ).
cnf(c_0_1115_2,axiom,
( c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1115]) ).
cnf(c_0_1116_1,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1116]) ).
cnf(c_0_1116_2,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1116]) ).
cnf(c_0_1117_1,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1117]) ).
cnf(c_0_1117_2,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1117]) ).
cnf(c_0_1118_1,axiom,
( X1 = X2
| c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1118]) ).
cnf(c_0_1118_2,axiom,
( c_Expr_Oexp_OWhile(X1,X3,X4) != c_Expr_Oexp_OWhile(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1118]) ).
cnf(c_0_1119_1,axiom,
( X1 = X2
| c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1119]) ).
cnf(c_0_1119_2,axiom,
( c_Expr_Oexp_OWhile(X3,X1,X4) != c_Expr_Oexp_OWhile(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1119]) ).
cnf(c_0_1120_1,axiom,
( X1 = X2
| c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1120]) ).
cnf(c_0_1120_2,axiom,
( c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1120]) ).
cnf(c_0_1121_1,axiom,
( X1 = X2
| c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1121]) ).
cnf(c_0_1121_2,axiom,
( c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1121]) ).
cnf(c_0_1122_1,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1122]) ).
cnf(c_0_1122_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1122]) ).
cnf(c_0_1123_1,axiom,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1123]) ).
cnf(c_0_1123_2,axiom,
( ~ c_in(X1,X2,X3)
| hBOOL(hAPP(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1123]) ).
cnf(c_0_1124_1,axiom,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1124]) ).
cnf(c_0_1124_2,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1124]) ).
cnf(c_0_1125_1,axiom,
( c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1125]) ).
cnf(c_0_1125_2,axiom,
( ~ c_Objects_Ohext(X1,X2)
| c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1125]) ).
cnf(c_0_1125_3,axiom,
( ~ c_Objects_Ohext(X2,X3)
| ~ c_Objects_Ohext(X1,X2)
| c_Objects_Ohext(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1125]) ).
cnf(c_0_1126_1,axiom,
( X1 = X2
| c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1126]) ).
cnf(c_0_1126_2,axiom,
( c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1126]) ).
cnf(c_0_1127_1,axiom,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1127]) ).
cnf(c_0_1127_2,axiom,
( c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1127]) ).
cnf(c_0_1128_1,axiom,
( X1 = X2
| c_Value_Oval_OAddr(X1) != c_Value_Oval_OAddr(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1128]) ).
cnf(c_0_1128_2,axiom,
( c_Value_Oval_OAddr(X1) != c_Value_Oval_OAddr(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1128]) ).
cnf(c_0_1129_1,axiom,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1129]) ).
cnf(c_0_1129_2,axiom,
( c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1129]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_1131,negated_conjecture,
! [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____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1) ),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_1_1132,negated_conjecture,
~ v_thesis____,
file('<stdin>',cls_conjecture_0) ).
fof(c_0_2_1133,negated_conjecture,
! [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____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_3_1134,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_4_1135,negated_conjecture,
! [X2] :
( 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)))),X2),v_T_092_060_094isub_0622____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X2) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2])])]) ).
fof(c_0_5_1136,negated_conjecture,
~ v_thesis____,
c_0_3 ).
cnf(c_0_6_1137,negated_conjecture,
( 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_4]) ).
cnf(c_0_7_1138,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8_1139,negated_conjecture,
( 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_6,
[final] ).
cnf(c_0_9_1140,negated_conjecture,
~ v_thesis____,
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_796,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/tmp/iprover_modulo_2317e0.p',c_0_9) ).
cnf(c_1182,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_796]) ).
cnf(c_1186,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1182]) ).
cnf(c_1187,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1186]) ).
cnf(c_1188,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1187]) ).
cnf(c_3576,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1188]) ).
cnf(c_405,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_2317e0.p',c_0_1062_1) ).
cnf(c_2797,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_405]) ).
cnf(c_3580,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_3576,c_2797]) ).
cnf(c_3581,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_3580]) ).
cnf(c_570,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_2317e0.p',c_0_1168_0) ).
cnf(c_3125,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_570]) ).
cnf(c_3610,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_3581,c_3125]) ).
cnf(c_3611,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_3610]) ).
cnf(c_571,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_2317e0.p',c_0_1167_0) ).
cnf(c_3127,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_571]) ).
cnf(c_3629,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3611,c_3127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV963-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 11:37:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.35 % Running in mono-core mode
% 0.49/0.65 % Orienting using strategy Equiv(ClausalAll)
% 0.49/0.65 % Orientation found
% 0.49/0.65 % 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_07605c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_2317e0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_494178 | grep -v "SZS"
% 0.49/0.67
% 0.49/0.67 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.49/0.67
% 0.49/0.67 %
% 0.49/0.67 % ------ iProver source info
% 0.49/0.67
% 0.49/0.67 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.49/0.67 % git: non_committed_changes: true
% 0.49/0.67 % git: last_make_outside_of_git: true
% 0.49/0.67
% 0.49/0.67 %
% 0.49/0.67 % ------ Input Options
% 0.49/0.67
% 0.49/0.67 % --out_options all
% 0.49/0.67 % --tptp_safe_out true
% 0.49/0.67 % --problem_path ""
% 0.49/0.67 % --include_path ""
% 0.49/0.67 % --clausifier .//eprover
% 0.49/0.67 % --clausifier_options --tstp-format
% 0.49/0.67 % --stdin false
% 0.49/0.67 % --dbg_backtrace false
% 0.49/0.67 % --dbg_dump_prop_clauses false
% 0.49/0.67 % --dbg_dump_prop_clauses_file -
% 0.49/0.67 % --dbg_out_stat false
% 0.49/0.67
% 0.49/0.67 % ------ General Options
% 0.49/0.67
% 0.49/0.67 % --fof false
% 0.49/0.67 % --time_out_real 150.
% 0.49/0.67 % --time_out_prep_mult 0.2
% 0.49/0.67 % --time_out_virtual -1.
% 0.49/0.67 % --schedule none
% 0.49/0.67 % --ground_splitting input
% 0.49/0.67 % --splitting_nvd 16
% 0.49/0.67 % --non_eq_to_eq false
% 0.49/0.67 % --prep_gs_sim true
% 0.49/0.67 % --prep_unflatten false
% 0.49/0.67 % --prep_res_sim true
% 0.49/0.67 % --prep_upred true
% 0.49/0.67 % --res_sim_input true
% 0.49/0.67 % --clause_weak_htbl true
% 0.49/0.67 % --gc_record_bc_elim false
% 0.49/0.67 % --symbol_type_check false
% 0.49/0.67 % --clausify_out false
% 0.49/0.67 % --large_theory_mode false
% 0.49/0.67 % --prep_sem_filter none
% 0.49/0.67 % --prep_sem_filter_out false
% 0.49/0.67 % --preprocessed_out false
% 0.49/0.67 % --sub_typing false
% 0.49/0.67 % --brand_transform false
% 0.49/0.67 % --pure_diseq_elim true
% 0.49/0.67 % --min_unsat_core false
% 0.49/0.67 % --pred_elim true
% 0.49/0.67 % --add_important_lit false
% 0.49/0.67 % --soft_assumptions false
% 0.49/0.67 % --reset_solvers false
% 0.49/0.67 % --bc_imp_inh []
% 0.49/0.67 % --conj_cone_tolerance 1.5
% 0.49/0.67 % --prolific_symb_bound 500
% 0.49/0.67 % --lt_threshold 2000
% 0.49/0.67
% 0.49/0.67 % ------ SAT Options
% 0.49/0.67
% 0.49/0.67 % --sat_mode false
% 0.49/0.67 % --sat_fm_restart_options ""
% 0.49/0.67 % --sat_gr_def false
% 0.49/0.67 % --sat_epr_types true
% 0.49/0.67 % --sat_non_cyclic_types false
% 0.49/0.67 % --sat_finite_models false
% 0.49/0.67 % --sat_fm_lemmas false
% 0.49/0.67 % --sat_fm_prep false
% 0.49/0.67 % --sat_fm_uc_incr true
% 0.49/0.67 % --sat_out_model small
% 0.49/0.67 % --sat_out_clauses false
% 0.49/0.67
% 0.49/0.67 % ------ QBF Options
% 0.49/0.67
% 0.49/0.67 % --qbf_mode false
% 0.49/0.67 % --qbf_elim_univ true
% 0.49/0.67 % --qbf_sk_in true
% 0.49/0.67 % --qbf_pred_elim true
% 0.49/0.67 % --qbf_split 32
% 0.49/0.67
% 0.49/0.67 % ------ BMC1 Options
% 0.49/0.67
% 0.49/0.67 % --bmc1_incremental false
% 0.49/0.67 % --bmc1_axioms reachable_all
% 0.49/0.67 % --bmc1_min_bound 0
% 0.49/0.67 % --bmc1_max_bound -1
% 0.49/0.67 % --bmc1_max_bound_default -1
% 0.49/0.67 % --bmc1_symbol_reachability true
% 0.49/0.67 % --bmc1_property_lemmas false
% 0.49/0.67 % --bmc1_k_induction false
% 0.49/0.67 % --bmc1_non_equiv_states false
% 0.49/0.67 % --bmc1_deadlock false
% 0.49/0.67 % --bmc1_ucm false
% 0.49/0.67 % --bmc1_add_unsat_core none
% 0.49/0.67 % --bmc1_unsat_core_children false
% 0.49/0.67 % --bmc1_unsat_core_extrapolate_axioms false
% 0.49/0.67 % --bmc1_out_stat full
% 0.49/0.67 % --bmc1_ground_init false
% 0.49/0.67 % --bmc1_pre_inst_next_state false
% 0.49/0.67 % --bmc1_pre_inst_state false
% 0.49/0.67 % --bmc1_pre_inst_reach_state false
% 0.49/0.67 % --bmc1_out_unsat_core false
% 0.49/0.67 % --bmc1_aig_witness_out false
% 0.49/0.67 % --bmc1_verbose false
% 0.49/0.67 % --bmc1_dump_clauses_tptp false
% 0.53/0.83 % --bmc1_dump_unsat_core_tptp false
% 0.53/0.83 % --bmc1_dump_file -
% 0.53/0.83 % --bmc1_ucm_expand_uc_limit 128
% 0.53/0.83 % --bmc1_ucm_n_expand_iterations 6
% 0.53/0.83 % --bmc1_ucm_extend_mode 1
% 0.53/0.83 % --bmc1_ucm_init_mode 2
% 0.53/0.83 % --bmc1_ucm_cone_mode none
% 0.53/0.83 % --bmc1_ucm_reduced_relation_type 0
% 0.53/0.83 % --bmc1_ucm_relax_model 4
% 0.53/0.83 % --bmc1_ucm_full_tr_after_sat true
% 0.53/0.83 % --bmc1_ucm_expand_neg_assumptions false
% 0.53/0.83 % --bmc1_ucm_layered_model none
% 0.53/0.83 % --bmc1_ucm_max_lemma_size 10
% 0.53/0.83
% 0.53/0.83 % ------ AIG Options
% 0.53/0.83
% 0.53/0.83 % --aig_mode false
% 0.53/0.83
% 0.53/0.83 % ------ Instantiation Options
% 0.53/0.83
% 0.53/0.83 % --instantiation_flag true
% 0.53/0.83 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.53/0.83 % --inst_solver_per_active 750
% 0.53/0.83 % --inst_solver_calls_frac 0.5
% 0.53/0.83 % --inst_passive_queue_type priority_queues
% 0.53/0.83 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.53/0.83 % --inst_passive_queues_freq [25;2]
% 0.53/0.83 % --inst_dismatching true
% 0.53/0.83 % --inst_eager_unprocessed_to_passive true
% 0.53/0.83 % --inst_prop_sim_given true
% 0.53/0.83 % --inst_prop_sim_new false
% 0.53/0.83 % --inst_orphan_elimination true
% 0.53/0.83 % --inst_learning_loop_flag true
% 0.53/0.83 % --inst_learning_start 3000
% 0.53/0.83 % --inst_learning_factor 2
% 0.53/0.83 % --inst_start_prop_sim_after_learn 3
% 0.53/0.83 % --inst_sel_renew solver
% 0.53/0.83 % --inst_lit_activity_flag true
% 0.53/0.83 % --inst_out_proof true
% 0.53/0.83
% 0.53/0.83 % ------ Resolution Options
% 0.53/0.83
% 0.53/0.83 % --resolution_flag true
% 0.53/0.83 % --res_lit_sel kbo_max
% 0.53/0.83 % --res_to_prop_solver none
% 0.53/0.83 % --res_prop_simpl_new false
% 0.53/0.83 % --res_prop_simpl_given false
% 0.53/0.83 % --res_passive_queue_type priority_queues
% 0.53/0.83 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.53/0.83 % --res_passive_queues_freq [15;5]
% 0.53/0.83 % --res_forward_subs full
% 0.53/0.83 % --res_backward_subs full
% 0.53/0.83 % --res_forward_subs_resolution true
% 0.53/0.83 % --res_backward_subs_resolution true
% 0.53/0.83 % --res_orphan_elimination false
% 0.53/0.83 % --res_time_limit 1000.
% 0.53/0.83 % --res_out_proof true
% 0.53/0.83 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07605c.s
% 0.53/0.83 % --modulo true
% 0.53/0.83
% 0.53/0.83 % ------ Combination Options
% 0.53/0.83
% 0.53/0.83 % --comb_res_mult 1000
% 0.53/0.83 % --comb_inst_mult 300
% 0.53/0.83 % ------
% 0.53/0.83
% 0.53/0.83 % ------ Parsing...% successful
% 0.53/0.83
% 0.53/0.83 % ------ 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 %
% 0.53/0.83
% 0.53/0.83 % ------ Proving...
% 0.53/0.83 % ------ Problem Properties
% 0.53/0.83
% 0.53/0.83 %
% 0.53/0.83 % EPR false
% 0.53/0.83 % Horn false
% 0.53/0.83 % Has equality true
% 0.53/0.83
% 0.53/0.83 % % ------ Input Options Time Limit: Unbounded
% 0.53/0.83
% 0.53/0.83
% 0.53/0.83 % warning: Clause {~(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____} has no selected literals
% 0.53/0.83 cnf(c_795,negated_conjecture,
% 0.53/0.83 ( ~ 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____))
% 0.53/0.83 | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
% 0.53/0.83 | v_thesis____ ),
% 0.53/0.83 file('/export/starexec/sandbox/tmp/iprover_modulo_2317e0.p', c_0_8) ).
% 0.53/0.83
% 0.53/0.83 % warning: Clause {~(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____} has no selected literals
% 1.00/1.27 cnf(c_795,negated_conjecture,
% 1.00/1.27 ( ~ 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____))
% 1.00/1.27 | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
% 1.00/1.27 | v_thesis____ ),
% 1.00/1.27 file('/export/starexec/sandbox/tmp/iprover_modulo_2317e0.p', c_0_8) ).
% 1.00/1.27
% 1.00/1.27 Compiling...
% 1.00/1.27 Loading plugin: done.
% 1.00/1.27 Compiling...
% 1.00/1.27 Loading plugin: done.
% 1.00/1.27 Compiling...
% 1.00/1.27 Loading plugin: done.
% 1.00/1.27 Compiling...
% 1.00/1.27 Loading plugin: done.
% 1.00/1.27 % warning: Clause {~(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____} has no selected literals
% 1.00/1.27 cnf(c_795,negated_conjecture,
% 1.00/1.27 ( ~ 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____))
% 1.00/1.27 | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
% 1.00/1.27 | v_thesis____ ),
% 1.00/1.27 file('/export/starexec/sandbox/tmp/iprover_modulo_2317e0.p', c_0_8) ).
% 1.00/1.27
% 1.00/1.27 % warning: Clause {~(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____} has no selected literals
% 1.00/1.27 cnf(c_795,negated_conjecture,
% 1.00/1.27 ( ~ 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____))
% 1.00/1.27 | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
% 1.00/1.27 | v_thesis____ ),
% 1.00/1.27 file('/export/starexec/sandbox/tmp/iprover_modulo_2317e0.p', c_0_8) ).
% 1.00/1.27
% 1.00/1.27 % % ------ Current options:
% 1.00/1.27
% 1.00/1.27 % ------ Input Options
% 1.00/1.27
% 1.00/1.27 % --out_options all
% 1.00/1.28 % --tptp_safe_out true
% 1.00/1.28 % --problem_path ""
% 1.00/1.28 % --include_path ""
% 1.00/1.28 % --clausifier .//eprover
% 1.00/1.28 % --clausifier_options --tstp-format
% 1.00/1.28 % --stdin false
% 1.00/1.28 % --dbg_backtrace false
% 1.00/1.28 % --dbg_dump_prop_clauses false
% 1.00/1.28 % --dbg_dump_prop_clauses_file -
% 1.00/1.28 % --dbg_out_stat false
% 1.00/1.28
% 1.00/1.28 % ------ General Options
% 1.00/1.28
% 1.00/1.28 % --fof false
% 1.00/1.28 % --time_out_real 150.
% 1.00/1.28 % --time_out_prep_mult 0.2
% 1.00/1.28 % --time_out_virtual -1.
% 1.00/1.28 % --schedule none
% 1.00/1.28 % --ground_splitting input
% 1.00/1.28 % --splitting_nvd 16
% 1.00/1.28 % --non_eq_to_eq false
% 1.00/1.28 % --prep_gs_sim true
% 1.00/1.28 % --prep_unflatten false
% 1.00/1.28 % --prep_res_sim true
% 1.00/1.28 % --prep_upred true
% 1.00/1.28 % --res_sim_input true
% 1.00/1.28 % --clause_weak_htbl true
% 1.00/1.28 % --gc_record_bc_elim false
% 1.00/1.28 % --symbol_type_check false
% 1.00/1.28 % --clausify_out false
% 1.00/1.28 % --large_theory_mode false
% 1.00/1.28 % --prep_sem_filter none
% 1.00/1.28 % --prep_sem_filter_out false
% 1.00/1.28 % --preprocessed_out false
% 1.00/1.28 % --sub_typing false
% 1.00/1.28 % --brand_transform false
% 1.00/1.28 % --pure_diseq_elim true
% 1.00/1.28 % --min_unsat_core false
% 1.00/1.28 % --pred_elim true
% 1.00/1.28 % --add_important_lit false
% 1.00/1.28 % --soft_assumptions false
% 1.00/1.28 % --reset_solvers false
% 1.00/1.28 % --bc_imp_inh []
% 1.00/1.28 % --conj_cone_tolerance 1.5
% 1.00/1.28 % --prolific_symb_bound 500
% 1.00/1.28 % --lt_threshold 2000
% 1.00/1.28
% 1.00/1.28 % ------ SAT Options
% 1.00/1.28
% 1.00/1.28 % --sat_mode false
% 1.00/1.28 % --sat_fm_restart_options ""
% 1.00/1.28 % --sat_gr_def false
% 1.00/1.28 % --sat_epr_types true
% 1.00/1.28 % --sat_non_cyclic_types false
% 1.00/1.28 % --sat_finite_models false
% 1.00/1.28 % --sat_fm_lemmas false
% 1.00/1.28 % --sat_fm_prep false
% 1.00/1.28 % --sat_fm_uc_incr true
% 1.00/1.28 % --sat_out_model small
% 1.00/1.28 % --sat_out_clauses false
% 1.00/1.28
% 1.00/1.28 % ------ QBF Options
% 1.00/1.28
% 1.00/1.28 % --qbf_mode false
% 1.00/1.28 % --qbf_elim_univ true
% 1.00/1.28 % --qbf_sk_in true
% 1.00/1.28 % --qbf_pred_elim true
% 1.00/1.28 % --qbf_split 32
% 1.00/1.28
% 1.00/1.28 % ------ BMC1 Options
% 1.00/1.28
% 1.00/1.28 % --bmc1_incremental false
% 1.00/1.28 % --bmc1_axioms reachable_all
% 1.00/1.28 % --bmc1_min_bound 0
% 1.00/1.28 % --bmc1_max_bound -1
% 1.00/1.28 % --bmc1_max_bound_default -1
% 1.00/1.28 % --bmc1_symbol_reachability true
% 1.00/1.28 % --bmc1_property_lemmas false
% 1.00/1.28 % --bmc1_k_induction false
% 1.00/1.28 % --bmc1_non_equiv_states false
% 1.00/1.28 % --bmc1_deadlock false
% 1.00/1.28 % --bmc1_ucm false
% 1.00/1.28 % --bmc1_add_unsat_core none
% 1.00/1.28 % --bmc1_unsat_core_children false
% 1.00/1.28 % --bmc1_unsat_core_extrapolate_axioms false
% 1.00/1.28 % --bmc1_out_stat full
% 1.00/1.28 % --bmc1_ground_init false
% 1.00/1.28 % --bmc1_pre_inst_next_state false
% 1.00/1.28 % --bmc1_pre_inst_state false
% 1.00/1.28 % --bmc1_pre_inst_reach_state false
% 1.00/1.28 % --bmc1_out_unsat_core false
% 1.00/1.28 % --bmc1_aig_witness_out false
% 1.00/1.28 % --bmc1_verbose false
% 1.00/1.28 % --bmc1_dump_clauses_tptp false
% 1.00/1.28 % --bmc1_dump_unsat_core_tptp false
% 1.00/1.28 % --bmc1_dump_file -
% 1.00/1.28 % --bmc1_ucm_expand_uc_limit 128
% 1.00/1.28 % --bmc1_ucm_n_expand_iterations 6
% 1.00/1.28 % --bmc1_ucm_extend_mode 1
% 1.00/1.28 % --bmc1_ucm_init_mode 2
% 1.00/1.28 % --bmc1_ucm_cone_mode none
% 1.00/1.28 % --bmc1_ucm_reduced_relation_type 0
% 1.00/1.28 % --bmc1_ucm_relax_model 4
% 1.00/1.28 % --bmc1_ucm_full_tr_after_sat true
% 1.00/1.28 % --bmc1_ucm_expand_neg_assumptions false
% 1.00/1.28 % --bmc1_ucm_layered_model none
% 1.00/1.28 % --bmc1_ucm_max_lemma_size 10
% 1.00/1.28
% 1.00/1.28 % ------ AIG Options
% 1.00/1.28
% 1.00/1.28 % --aig_mode false
% 1.00/1.28
% 1.00/1.28 % ------ Instantiation Options
% 1.00/1.28
% 1.00/1.28 % --instantiation_flag true
% 1.00/1.28 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.00/1.28 % --inst_solver_per_active 750
% 1.00/1.28 % --inst_solver_calls_frac 0.5
% 1.00/1.28 % --inst_passive_queue_type priority_queues
% 1.00/1.28 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.00/1.28 % --inst_passive_queues_freq [25;2]
% 1.00/1.28 % --inst_dismatching true
% 1.00/1.28 % --inst_eager_unprocessed_to_passive true
% 1.00/1.28 % --inst_prop_sim_given true
% 1.00/1.28 % --inst_prop_sim_new false
% 1.00/1.28 % --inst_orphan_elimination true
% 1.00/1.28 % --inst_learning_loop_flag true
% 1.00/1.28 % --inst_learning_start 3000
% 1.00/1.28 % --inst_learning_factor 2
% 1.00/1.28 % --inst_start_prop_sim_after_learn 3
% 1.00/1.28 % --inst_sel_renew solver
% 1.00/1.28 % --inst_lit_activity_flag true
% 1.00/1.28 % --inst_out_proof true
% 1.00/1.28
% 1.00/1.28 % ------ Resolution Options
% 1.00/1.28
% 1.00/1.28 % --resolution_flag true
% 1.00/1.28 % --res_lit_sel kbo_max
% 1.00/1.28 % --res_to_prop_solver none
% 1.00/1.28 % --res_prop_simpl_new false
% 1.00/1.28 % --res_prop_simpl_given false
% 1.00/1.28 % --res_passive_queue_type priority_queues
% 1.00/1.28 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.00/1.28 % --res_passive_queues_freq [15;5]
% 1.00/1.28 % --res_forward_subs full
% 1.00/1.28 % --res_backward_subs full
% 1.00/1.28 % --res_forward_subs_resolution true
% 1.00/1.28 % --res_backward_subs_resolution true
% 1.00/1.28 % --res_orphan_elimination false
% 1.00/1.28 % --res_time_limit 1000.
% 1.00/1.28 % --res_out_proof true
% 1.00/1.28 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07605c.s
% 1.00/1.28 % --modulo true
% 1.00/1.28
% 1.00/1.28 % ------ Combination Options
% 1.00/1.28
% 1.00/1.28 % --comb_res_mult 1000
% 1.00/1.28 % --comb_inst_mult 300
% 1.00/1.28 % ------
% 1.00/1.28
% 1.00/1.28
% 1.00/1.28
% 1.00/1.28 % ------ Proving...
% 1.00/1.28 %
% 1.00/1.28
% 1.00/1.28
% 1.00/1.28 % Resolution empty clause
% 1.00/1.28
% 1.00/1.28 % ------ Statistics
% 1.00/1.28
% 1.00/1.28 % ------ General
% 1.00/1.28
% 1.00/1.28 % num_of_input_clauses: 797
% 1.00/1.28 % num_of_input_neg_conjectures: 2
% 1.00/1.28 % num_of_splits: 0
% 1.00/1.28 % num_of_split_atoms: 0
% 1.00/1.28 % num_of_sem_filtered_clauses: 0
% 1.00/1.28 % num_of_subtypes: 0
% 1.00/1.28 % monotx_restored_types: 0
% 1.00/1.28 % sat_num_of_epr_types: 0
% 1.00/1.28 % sat_num_of_non_cyclic_types: 0
% 1.00/1.28 % sat_guarded_non_collapsed_types: 0
% 1.00/1.28 % is_epr: 0
% 1.00/1.28 % is_horn: 0
% 1.00/1.28 % has_eq: 1
% 1.00/1.28 % num_pure_diseq_elim: 0
% 1.00/1.28 % simp_replaced_by: 0
% 1.00/1.28 % res_preprocessed: 2
% 1.00/1.28 % prep_upred: 0
% 1.00/1.28 % prep_unflattend: 0
% 1.00/1.28 % pred_elim_cands: 0
% 1.00/1.28 % pred_elim: 0
% 1.00/1.28 % pred_elim_cl: 0
% 1.00/1.28 % pred_elim_cycles: 0
% 1.00/1.28 % forced_gc_time: 0
% 1.00/1.28 % gc_basic_clause_elim: 0
% 1.00/1.28 % parsing_time: 0.106
% 1.00/1.28 % sem_filter_time: 0.
% 1.00/1.28 % pred_elim_time: 0.
% 1.00/1.28 % out_proof_time: 0.
% 1.00/1.28 % monotx_time: 0.
% 1.00/1.28 % subtype_inf_time: 0.
% 1.00/1.28 % unif_index_cands_time: 0.
% 1.00/1.28 % unif_index_add_time: 0.001
% 1.00/1.28 % total_time: 0.617
% 1.00/1.28 % num_of_symbols: 114
% 1.00/1.28 % num_of_terms: 4569
% 1.00/1.28
% 1.00/1.28 % ------ Propositional Solver
% 1.00/1.28
% 1.00/1.28 % prop_solver_calls: 1
% 1.00/1.28 % prop_fast_solver_calls: 3
% 1.00/1.28 % prop_num_of_clauses: 1073
% 1.00/1.28 % prop_preprocess_simplified: 2099
% 1.00/1.28 % prop_fo_subsumed: 0
% 1.00/1.28 % prop_solver_time: 0.
% 1.00/1.28 % prop_fast_solver_time: 0.
% 1.00/1.28 % prop_unsat_core_time: 0.
% 1.00/1.28
% 1.00/1.28 % ------ QBF
% 1.00/1.28
% 1.00/1.28 % qbf_q_res: 0
% 1.00/1.28 % qbf_num_tautologies: 0
% 1.00/1.28 % qbf_prep_cycles: 0
% 1.00/1.28
% 1.00/1.28 % ------ BMC1
% 1.00/1.28
% 1.00/1.28 % bmc1_current_bound: -1
% 1.00/1.28 % bmc1_last_solved_bound: -1
% 1.00/1.28 % bmc1_unsat_core_size: -1
% 1.00/1.28 % bmc1_unsat_core_parents_size: -1
% 1.00/1.28 % bmc1_merge_next_fun: 0
% 1.00/1.28 % bmc1_unsat_core_clauses_time: 0.
% 1.00/1.28
% 1.00/1.28 % ------ Instantiation
% 1.00/1.28
% 1.00/1.28 % inst_num_of_clauses: 783
% 1.00/1.28 % inst_num_in_passive: 0
% 1.00/1.28 % inst_num_in_active: 0
% 1.00/1.28 % inst_num_in_unprocessed: 798
% 1.00/1.28 % inst_num_of_loops: 0
% 1.00/1.28 % inst_num_of_learning_restarts: 0
% 1.00/1.28 % inst_num_moves_active_passive: 0
% 1.00/1.28 % inst_lit_activity: 0
% 1.00/1.28 % inst_lit_activity_moves: 0
% 1.00/1.28 % inst_num_tautologies: 0
% 1.00/1.28 % inst_num_prop_implied: 0
% 1.00/1.28 % inst_num_existing_simplified: 0
% 1.00/1.28 % inst_num_eq_res_simplified: 0
% 1.00/1.28 % inst_num_child_elim: 0
% 1.00/1.28 % inst_num_of_dismatching_blockings: 0
% 1.00/1.28 % inst_num_of_non_proper_insts: 0
% 1.00/1.28 % inst_num_of_duplicates: 0
% 1.00/1.28 % inst_inst_num_from_inst_to_res: 0
% 1.00/1.28 % inst_dismatching_checking_time: 0.
% 1.00/1.28
% 1.00/1.28 % ------ Resolution
% 1.00/1.28
% 1.00/1.28 % res_num_of_clauses: 856
% 1.00/1.28 % res_num_in_passive: 15
% 1.00/1.28 % res_num_in_active: 505
% 1.00/1.28 % res_num_of_loops: 5
% 1.00/1.28 % res_forward_subset_subsumed: 291
% 1.00/1.28 % res_backward_subset_subsumed: 0
% 1.00/1.28 % res_forward_subsumed: 0
% 1.00/1.28 % res_backward_subsumed: 0
% 1.00/1.28 % res_forward_subsumption_resolution: 1
% 1.00/1.28 % res_backward_subsumption_resolution: 1
% 1.00/1.28 % res_clause_to_clause_subsumption: 3
% 1.00/1.28 % res_orphan_elimination: 0
% 1.00/1.28 % res_tautology_del: 0
% 1.00/1.28 % res_num_eq_res_simplified: 0
% 1.00/1.28 % res_num_sel_changes: 0
% 1.00/1.28 % res_moves_from_active_to_pass: 0
% 1.00/1.28
% 1.00/1.28 % Status Unsatisfiable
% 1.00/1.28 % SZS status Unsatisfiable
% 1.00/1.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------