%------------------------------------------------------------------------------
% File     : SWV991-1 : TPTP v8.2.0. Released v4.1.0.
% Domain   : Software Verification
% Problem  : Java type soundness 637_5
% Version  : Especial.
% English  :

% Refs     : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java
%          : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
%          : [BN10]  Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% Source   : [Nip10]
% Names    : TypeSafe-637_5 [Nip10]

% Status   : Unsatisfiable
% Rating   : 1.00 v4.1.0
% Syntax   : Number of clauses     :  314 ( 166 unt;   5 nHn; 251 RR)
%            Number of literals    :  506 ( 215 equ; 321 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :   10 (   9 usr;   0 prp; 1-5 aty)
%            Number of functors    :   61 (  61 usr;  16 con; 0-6 aty)
%            Number of variables   : 1752 ( 888 sgn)
% SPC      : CNF_UNS_RFO_SEQ_NHN

% Comments :
%------------------------------------------------------------------------------
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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_exp_Osimps_I13_J_1,axiom,
    ( c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a)
    | V_exp2 = V_exp2_H ) ).

cnf(cls_exp_Osimps_I13_J_0,axiom,
    ( c_Expr_Oexp_OWhile(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OWhile(V_exp1_H,V_exp2_H,T_a)
    | V_exp1 = V_exp1_H ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_exp_Osimps_I3_J_0,axiom,
    ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a)
    | V_val = V_val_H ) ).

cnf(cls_red__reds_OBinOpRed2_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,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)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(V_v_092_060_094isub_0621,tc_List_Olist(tc_String_Ochar)),V_bop,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_red__reds_OFAssRed2_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,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)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_F,V_D,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

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)))))) ).

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)))))) ).

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) ).

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) ).

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)))))) ).

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) ).

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) ).

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) ).

cnf(cls_exp_Osimps_I14_J_0,axiom,
    ( c_Expr_Oexp_Othrow(V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
    | V_exp = V_exp_H ) ).

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) ).

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) ).

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

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_ThrowRedsThrow_0,axiom,
    ( c_in(c_Pair(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)))),c_Pair(c_Expr_Oexp_Othrow(V_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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)))))) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_SeqRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(V_e,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_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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

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) ).

cnf(cls_wf__config__def_1,axiom,
    ( c_WellTypeRT_OWTrt(V_P,c_State_Ohp(V_s),V_E,V_e,V_T)
    | ~ c_TypeSafe__Mirabelle_Owf__config(V_P,V_E,V_s,V_e,V_T) ) ).

cnf(cls_exp_Osimps_I9_J_0,axiom,
    ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
    | V_exp = V_exp_H ) ).

cnf(cls_exp_Osimps_I9_J_1,axiom,
    ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
    | V_list1 = V_list1_H ) ).

cnf(cls_exp_Osimps_I9_J_2,axiom,
    ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
    | V_list2 = V_list2_H ) ).

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) ).

cnf(cls_TryReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(V_e,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_OTryCatch(V_e_H,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

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)))))) ).

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) ).

cnf(cls_Not__Domain__rtrancl_0,axiom,
    ( V_x = V_y
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
    | c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) ) ).

cnf(cls_exp_Osimps_I2_J_0,axiom,
    ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a)
    | V_list = V_list_H ) ).

cnf(cls_exp_Osimps_I2_J_1,axiom,
    ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCast(V_list_H,V_exp_H,T_a)
    | V_exp = V_exp_H ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_exp_Osimps_I11_J_0,axiom,
    ( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
    | V_exp1 = V_exp1_H ) ).

cnf(cls_exp_Osimps_I11_J_1,axiom,
    ( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
    | V_exp2 = V_exp2_H ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_confs__Cons2_0,axiom,
    ( V_xs = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(V_P,V_h,V_xs,V_y,V_ys,T_a),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(V_P,V_h,V_xs,V_y,V_ys,T_a),tc_Value_Oval)
    | ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xs,c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ) ).

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) ).

cnf(cls_LAssReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,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)))),c_Pair(c_Expr_Oexp_OLAss(V_V,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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)))))) ).

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) ).

cnf(cls_BinOp1Reds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(V_e,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_OBinOp(V_e_H,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_FAssRedsThrow2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0620,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_092_060_094isub_0622,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e_092_060_094isub_0622,V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_092_060_094isub_0622,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e_092_060_094isub_0621,V_s_092_060_094isub_0620,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_BinOpRedsThrow2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0620,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_092_060_094isub_0622,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e_092_060_094isub_0622,V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_092_060_094isub_0622,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e_092_060_094isub_0621,V_s_092_060_094isub_0620,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_092_060_094isub_0621,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_TryRedsVal_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(V_e,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_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_SeqReds2_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0620,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,V_s_092_060_094isub_0622,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e_092_060_094isub_0622,V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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,V_s_092_060_094isub_0622,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e_092_060_094isub_0621,V_s_092_060_094isub_0620,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_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_092_060_094isub_0621,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_FAssReds2_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,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)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_F,V_D,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_BinOp2Reds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_bop,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)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_bop,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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)))))) ).

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)))))) ).

cnf(cls_WhileRedsThrow_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_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_b,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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) ).

cnf(cls_BinOpRedsThrow1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(V_e,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_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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)))))) ).

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) ).

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) ).

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) ).

cnf(cls_wf__config__def_2,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(V_P,V_E,V_s,V_e,V_T)
    | ~ c_WellTypeRT_OWTrt(V_P,c_State_Ohp(V_s),V_E,V_e,V_T)
    | ~ c_TypeSafe__Mirabelle_Osconf(V_P,V_E,V_s) ) ).

cnf(cls_CastReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,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)))),c_Pair(c_Expr_Oexp_OCast(V_C,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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) ).

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)))))) ).

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) ).

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) ).

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) ).

cnf(cls_exp_Osimps_I7_J_2,axiom,
    ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
    | V_list2 = V_list2_H ) ).

cnf(cls_exp_Osimps_I7_J_1,axiom,
    ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
    | V_list1 = V_list1_H ) ).

cnf(cls_exp_Osimps_I7_J_0,axiom,
    ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
    | V_exp = V_exp_H ) ).

cnf(cls_exp_Osimps_I8_J_3,axiom,
    ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
    | V_exp2 = V_exp2_H ) ).

cnf(cls_exp_Osimps_I8_J_2,axiom,
    ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
    | V_list2 = V_list2_H ) ).

cnf(cls_exp_Osimps_I8_J_1,axiom,
    ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
    | V_list1 = V_list1_H ) ).

cnf(cls_exp_Osimps_I8_J_0,axiom,
    ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
    | V_exp1 = V_exp1_H ) ).

cnf(cls_widens__Cons_0,axiom,
    ( V_ys = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(V_P,V_x,V_xs,V_ys,T_a),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(V_P,V_x,V_xs,V_ys,T_a),tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),V_ys,tc_Type_Oty,tc_Type_Oty) ) ).

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) ).

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) ).

cnf(cls_CallRedsObj_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(V_e,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_OCall(V_e_H,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_LAssRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,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)))),c_Pair(c_Expr_Oexp_Othrow(V_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_CastRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,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)))),c_Pair(c_Expr_Oexp_Othrow(V_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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)))))) ).

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) ).

cnf(cls_equiv_Orefl__on_0,axiom,
    ( c_Relation_Orefl__on(V_A,V_r,T_a)
    | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).

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) ).

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) ).

cnf(cls_Not__Domain__rtrancl_1,axiom,
    ( c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),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)) ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_Id__on__iff_0,axiom,
    ( V_x = V_y
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).

cnf(cls_WTrtSeq_0,axiom,
    ( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OSeq(V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T_092_060_094isub_0622)
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,V_T_092_060_094isub_0621) ) ).

cnf(cls_exp_Osimps_I6_J_1,axiom,
    ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
    | V_exp = V_exp_H ) ).

cnf(cls_exp_Osimps_I6_J_0,axiom,
    ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
    | V_a = V_a_H ) ).

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) ).

cnf(cls_SeqReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(V_e,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_OSeq(V_e_H,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

cnf(cls_r__into__rtrancl_0,axiom,
    ( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ).

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) ).

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) ).

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) ).

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)) ).

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)) ).

cnf(cls_acc__downwards_0,axiom,
    ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)
    | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).

cnf(cls_acc__downwards__aux_0,axiom,
    ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)
    | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)
    | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).

cnf(cls_rtrancl__trans_0,axiom,
    ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).

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) ).

cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).

cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).

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) ).

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) ).

cnf(cls_CondRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(V_e,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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

cnf(cls_rel__list__all2__Cons_1,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),V_xs,V_ys,T_a,T_b)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).

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)))))) ).

cnf(cls_CallRedsThrowObj_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_s0,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s0,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_092_060_094isub_0621,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_CondReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(V_e,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_OCond(V_e_H,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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) ).

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) ).

cnf(cls_FAccRedsThrow_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(V_e,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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_a,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_ThrowReds_0,axiom,
    ( c_in(c_Pair(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)))),c_Pair(c_Expr_Oexp_Othrow(V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_FAccReds_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(V_e,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_OFAcc(V_e_H,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_FAssReds1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(V_e,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_OFAss(V_e_H,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

cnf(cls_exp_Osimps_I12_J_2,axiom,
    ( c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
    | V_exp3 = V_exp3_H ) ).

cnf(cls_exp_Osimps_I12_J_1,axiom,
    ( c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
    | V_exp2 = V_exp2_H ) ).

cnf(cls_exp_Osimps_I12_J_0,axiom,
    ( c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
    | V_exp1 = V_exp1_H ) ).

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) ).

cnf(cls_exp_Osimps_I15_J_3,axiom,
    ( c_Expr_Oexp_OTryCatch(V_exp1,V_list,V_a,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
    | V_exp2 = V_exp2_H ) ).

cnf(cls_exp_Osimps_I15_J_2,axiom,
    ( c_Expr_Oexp_OTryCatch(V_exp1,V_list,V_a,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
    | V_a = V_a_H ) ).

cnf(cls_exp_Osimps_I15_J_1,axiom,
    ( c_Expr_Oexp_OTryCatch(V_exp1,V_list,V_a,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
    | V_list = V_list_H ) ).

cnf(cls_exp_Osimps_I15_J_0,axiom,
    ( c_Expr_Oexp_OTryCatch(V_exp1,V_list,V_a,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
    | V_exp1 = V_exp1_H ) ).

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) ).

cnf(cls_exp_Osimps_I4_J_2,axiom,
    ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a)
    | V_exp2 = V_exp2_H ) ).

cnf(cls_exp_Osimps_I4_J_1,axiom,
    ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a)
    | V_bop = V_bop_H ) ).

cnf(cls_exp_Osimps_I4_J_0,axiom,
    ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a)
    | V_exp1 = V_exp1_H ) ).

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) ).

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) ).

cnf(cls_FAssRedsThrow1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(V_e,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_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_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_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(V_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ) ).

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) ).

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) ).

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) ).

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) ).

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) ).

cnf(cls_red__reds_OCondRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(V_e,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_OCond(V_e_H,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_Pair__eq_1,axiom,
    ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
    | V_b = V_b_H ) ).

cnf(cls_Pair__eq_0,axiom,
    ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
    | V_a = V_a_H ) ).

cnf(cls_mem__Sigma__iff_2,axiom,
    ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))
    | ~ c_in(V_b,hAPP(V_B,V_a),T_b)
    | ~ c_in(V_a,V_A,T_a) ) ).

cnf(cls_SigmaI_0,axiom,
    ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))
    | ~ c_in(V_b,hAPP(V_B,V_a),T_b)
    | ~ c_in(V_a,V_A,T_a) ) ).

cnf(cls_list_Oinject_1,axiom,
    ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
    | V_list = V_list_H ) ).

cnf(cls_list_Oinject_0,axiom,
    ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
    | V_a = V_a_H ) ).

cnf(cls_in__lex__prod_0,axiom,
    ( V_a = V_a_H
    | c_in(c_Pair(V_a,V_a_H,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(c_Pair(V_a,V_b,T_a,T_b),c_Pair(V_a_H,V_b_H,T_a,T_b),tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Wellfounded_Olex__prod(V_r,V_s,T_a,T_b),tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))) ) ).

cnf(cls_acc__downward_0,axiom,
    ( c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).

cnf(cls_acc_Ocases_0,axiom,
    ( c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a)
    | ~ c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).

cnf(cls_red__reds_OTryRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(V_e,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_OTryCatch(V_e_H,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_rel__list__all2__Cons_0,axiom,
    ( c_in(c_Pair(V_x,V_y,T_a,T_b),V_S,tc_prod(T_a,T_b))
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).

cnf(cls_rev__ImageI_0,axiom,
    ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b)
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))
    | ~ c_in(V_a,V_A,T_a) ) ).

cnf(cls_Image__iff_2,axiom,
    ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)
    | ~ c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
    | ~ c_in(V_x,V_A,T_b) ) ).

cnf(cls_red__reds_OCastRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,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)))),c_Pair(c_Expr_Oexp_OCast(V_C,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_Id__on__iff_1,axiom,
    ( c_in(V_x,V_A,T_a)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).

cnf(cls_Id__on__eqI_0,axiom,
    ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))
    | ~ c_in(V_x,V_A,T_a) ) ).

cnf(cls_confs__Cons2_1,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(V_P,V_h,V_xs,V_y,V_ys,T_a)),V_y))
    | ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xs,c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ) ).

cnf(cls_in__lex__prod_3,axiom,
    ( c_in(c_Pair(c_Pair(V_x,V_b,T_a,T_b),c_Pair(V_x,V_b_H,T_a,T_b),tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Wellfounded_Olex__prod(V_r,V_s,T_a,T_b),tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)))
    | ~ c_in(c_Pair(V_b,V_b_H,T_b,T_b),V_s,tc_prod(T_b,T_b)) ) ).

cnf(cls_in__lex__prod_2,axiom,
    ( c_in(c_Pair(c_Pair(V_a,V_b,T_a,T_b),c_Pair(V_a_H,V_b_H,T_a,T_b),tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Wellfounded_Olex__prod(V_r,V_s,T_a,T_b),tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)))
    | ~ c_in(c_Pair(V_a,V_a_H,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).

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)))))) ).

cnf(cls_equiv__class__eq__iff_1,axiom,
    ( c_in(V_x,V_A,T_a)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).

cnf(cls_equiv__class__eq__iff_2,axiom,
    ( c_in(V_y,V_A,T_a)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).

cnf(cls_red__reds_OFAssRed1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(V_e,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_OFAss(V_e_H,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_red__reds_OFAccRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(V_e,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_OFAcc(V_e_H,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_in__lex__prod_1,axiom,
    ( c_in(c_Pair(V_b,V_b_H,T_b,T_b),V_s,tc_prod(T_b,T_b))
    | c_in(c_Pair(V_a,V_a_H,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(c_Pair(c_Pair(V_a,V_b,T_a,T_b),c_Pair(V_a_H,V_b_H,T_a,T_b),tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Wellfounded_Olex__prod(V_r,V_s,T_a,T_b),tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))) ) ).

cnf(cls_Range__iff_1,axiom,
    ( c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a)
    | ~ c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).

cnf(cls_RangeI_0,axiom,
    ( c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b)
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).

cnf(cls_list__all2__Cons2_3,axiom,
    ( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xa,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
    | ~ c_List_Olist__all2(V_P,V_xa,V_ys,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(V_P,V_x),V_y)) ) ).

cnf(cls_list__all2__Cons1_3,axiom,
    ( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_xa,V_xb,T_b),T_a,T_b)
    | ~ c_List_Olist__all2(V_P,V_xs,V_xb,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(V_P,V_x),V_xa)) ) ).

cnf(cls_list__all2__Cons_2,axiom,
    ( c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
    | ~ c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
    | ~ hBOOL(hAPP(hAPP(V_P,V_x),V_y)) ) ).

cnf(cls_red__reds_OThrowRed_0,axiom,
    ( c_in(c_Pair(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)))),c_Pair(c_Expr_Oexp_Othrow(V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_same__fstI_0,axiom,
    ( c_in(c_Pair(c_Pair(V_x,V_y_H,T_a,T_b),c_Pair(V_x,V_y,T_a,T_b),tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Recdef_Osame__fst(V_P,V_R,T_a,T_b),tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)))
    | ~ c_in(c_Pair(V_y_H,V_y,T_b,T_b),hAPP(V_R,V_x),tc_prod(T_b,T_b))
    | ~ hBOOL(hAPP(V_P,V_x)) ) ).

cnf(cls_confs__Cons2_2,axiom,
    ( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(V_P,V_h,V_xs,V_y,V_ys,T_a),V_ys,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xs,c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ) ).

cnf(cls_red__preserves__sconf_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(V_P,V_E,V_s_H)
    | ~ c_TypeSafe__Mirabelle_Osconf(V_P,V_E,V_s)
    | ~ c_WellTypeRT_OWTrt(V_P,c_State_Ohp(V_s),V_E,V_e,V_T)
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_list__all2__Cons_1,axiom,
    ( c_List_Olist__all2(V_P,V_xs,V_ys,T_a,T_b)
    | ~ c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).

cnf(cls_reds_0,axiom,
    c_in(c_Pair(c_Pair(v_e,v_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(v_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ).

cnf(cls_confs__Cons2_3,axiom,
    ( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),c_List_Olist_OCons(V_x,V_xa,tc_Value_Oval),c_List_Olist_OCons(V_y,V_ys,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_xa,V_ys,tc_Value_Oval,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_x),V_y)) ) ).

cnf(cls_Domain__iff_1,axiom,
    ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
    | ~ c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).

cnf(cls_DomainI_0,axiom,
    ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).

cnf(cls_SigmaD2_0,axiom,
    ( c_in(V_b,hAPP(V_B,V_a),T_b)
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).

cnf(cls_SigmaD1_0,axiom,
    ( c_in(V_a,V_A,T_a)
    | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).

cnf(cls_total__on__def_0,axiom,
    ( c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | V_x = V_xa
    | ~ c_in(V_xa,V_A,T_a)
    | ~ c_in(V_x,V_A,T_a)
    | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).

cnf(cls_red__reds_OSeqRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(V_e,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_OSeq(V_e_H,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(V_x,V_S,T_a)
    | ~ hBOOL(hAPP(V_S,V_x)) ) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(V_S,V_x))
    | ~ c_in(V_x,V_S,T_a) ) ).

cnf(cls_refl__on__def_1,axiom,
    ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(V_x,V_A,T_a)
    | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).

cnf(cls_refl__onD2_0,axiom,
    ( c_in(V_y,V_A,T_a)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).

cnf(cls_refl__onD1_0,axiom,
    ( c_in(V_x,V_A,T_a)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).

cnf(cls_refl__onD_0,axiom,
    ( c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
    | ~ c_in(V_a,V_A,T_a)
    | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).

cnf(cls_list__all2__Cons_0,axiom,
    ( hBOOL(hAPP(hAPP(V_P,V_x),V_y))
    | ~ c_List_Olist__all2(V_P,c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b) ) ).

cnf(cls_red__reds_OLAssRed_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,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)))),c_Pair(c_Expr_Oexp_OLAss(V_V,V_e_H,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_red__reds_OCallObj_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(V_e,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_OCall(V_e_H,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_red__reds_OBinOpRed1_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(V_e,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_OBinOp(V_e_H,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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))))))
    | ~ c_in(c_Pair(c_Pair(V_e,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,V_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ) ).

cnf(cls_widens__Cons_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_x),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(V_P,V_x,V_xs,V_ys,T_a)))
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),V_ys,tc_Type_Oty,tc_Type_Oty) ) ).

cnf(cls_rel__list__all2__Cons2_3,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),c_List_Olist_OCons(V_x,V_xa,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),V_xa,V_ys,T_a,T_b)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_S,tc_prod(T_a,T_b)) ) ).

cnf(cls_rel__list__all2__Cons1_3,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_xa,V_xb,T_b),T_a,T_b)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),V_xs,V_xb,T_a,T_b)
    | ~ c_in(c_Pair(V_x,V_xa,T_a,T_b),V_S,tc_prod(T_a,T_b)) ) ).

cnf(cls_rel__list__all2__Cons_2,axiom,
    ( c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_b),T_a,T_b)
    | ~ c_List_Olist__all2(c_Aux_Ofun__of(V_S,T_a,T_b),V_xs,V_ys,T_a,T_b)
    | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_S,tc_prod(T_a,T_b)) ) ).

cnf(cls_widens__Cons_2,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(V_P,V_x,V_xs,V_ys,T_a),tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),V_ys,tc_Type_Oty,tc_Type_Oty) ) ).

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

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

cnf(cls_step_I2_J_0,axiom,
    c_in(c_Pair(c_Pair(v_aa______,v_ba______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(v_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ).

cnf(cls_confs__widens_0,axiom,
    ( c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts_H,tc_Value_Oval,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ts,V_Ts_H,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts,tc_Value_Oval,tc_Type_Oty) ) ).

cnf(cls_list__all2__eq_1,axiom,
    ( V_xs = V_ys
    | ~ c_List_Olist__all2(c_fequal(T_a),V_xs,V_ys,T_a,T_a) ) ).

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

cnf(cls_step_I1_J_0,axiom,
    c_in(c_Pair(c_Pair(v_a______,v_b______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_aa______,v_ba______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ).

cnf(cls_conf__def_1,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Conform_Osko__Conform__Xconf__def__1__1(V_P,V_T,V_h,V_v,T_a)),V_T))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).

cnf(cls_widens__Cons_3,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_List_Olist_OCons(V_x,V_xs,tc_Type_Oty),c_List_Olist_OCons(V_xa,V_xb,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xb,tc_Type_Oty,tc_Type_Oty)
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_x),V_xa)) ) ).

cnf(cls_confs__conv__map_1,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(V_P,V_Ts_H,V_h,V_vs,T_a),V_Ts_H,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_Conform_Oconf(V_P,V_h,T_a),V_vs,V_Ts_H,tc_Value_Oval,tc_Type_Oty) ) ).

cnf(cls_list__all2__eq_0,axiom,
    c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a) ).

cnf(cls_step_Oprems_0,axiom,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_b______,v_a______,v_T____) ).

cnf(cls_step_I3_J_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__Xstep__3__1(v_E,v_P,V_T,v_e_H,v_s_H)),V_T))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_ba______,v_aa______,V_T) ) ).

cnf(cls_wf__config__def_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(V_P,V_E,V_s)
    | ~ c_TypeSafe__Mirabelle_Owf__config(V_P,V_E,V_s,V_e,V_T) ) ).

cnf(cls_step_Ohyps_I3_J_0,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_sko__local__Xstep__Xhyps__3__1(v_E,v_P,V_T,v_e_H,v_s_H))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_ba______,v_aa______,V_T) ) ).

cnf(cls_step_Ohyps_I3_J_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__Xstep__Xhyps__3__1(v_E,v_P,V_T,v_e_H,v_s_H)),V_T))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_ba______,v_aa______,V_T) ) ).

cnf(cls_widen__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)) ).

cnf(cls_widen__trans_0,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_S),V_T))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_U),V_T))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_S),V_U)) ) ).

cnf(cls_conf__widen_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T_H))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T_H))
    | ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(V_P,V_h,T_a),V_v),V_T)) ) ).

cnf(cls_step_I3_J_0,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_sko__local__Xstep__3__1(v_E,v_P,V_T,v_e_H,v_s_H))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_ba______,v_aa______,V_T) ) ).

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

cnf(cls_widens__trans_0,axiom,
    ( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ss,V_Us,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ts,V_Us,tc_Type_Oty,tc_Type_Oty)
    | ~ c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_Ss,V_Ts,tc_Type_Oty,tc_Type_Oty) ) ).

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) ).

cnf(cls_CHAINED_0,axiom,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_b______,v_a______,v_T____) ).

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,v_e_H,v_s_H)),V_T))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_ba______,v_aa______,V_T) ) ).

cnf(cls_CHAINED_0_01,axiom,
    ( c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_sko__CHAINED__1(v_E,v_P,V_T,v_e_H,v_s_H))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_ba______,v_aa______,V_T) ) ).

cnf(cls_CHAINED_0_02,axiom,
    c_in(c_Pair(c_Pair(v_aa______,v_ba______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(v_P),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ).

cnf(cls_CHAINED_0_03,axiom,
    c_in(c_Pair(c_Pair(v_a______,v_b______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_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_aa______,v_ba______,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_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)))))) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ 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_x),v_T____))
    | ~ c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,V_x) ) ).

cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).

cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
    ( V_X = V_Y
    | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).

%------------------------------------------------------------------------------