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LEO-II---2.3.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SWV957-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 11:00:19 AM UTC 2026

% Result   : Unsatisfiable 42.41s 7.32s
% Output   : CNFRefutation 42.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :  257
% Syntax   : Number of formulae    : 3213 (2155 unt;   0 typ;   0 def)
%            Number of atoms       : 22955 (11308 equ;   0 cnn)
%            Maximal formula atoms :    6 (   7 avg)
%            Number of connectives : 72724 (4384   ~;9216   |;   0   &;59124   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   73 (  70 usr;  27 con; 0-8 aty)
%            Number of variables   : 21529 (   0   ^;21529   !;   0   ?;21529   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c_COMBI,type,
    c_COMBI: $i > $i > $i ).

thf(tp_c_Decl_Ois__class,type,
    c_Decl_Ois__class: $i > $i > $i > $o ).

thf(tp_c_Expr_Oexp_OCast,type,
    c_Expr_Oexp_OCast: $i > $i > $i > $i ).

thf(tp_c_Expr_Oexp_OFAcc,type,
    c_Expr_Oexp_OFAcc: $i > $i > $i > $i > $i ).

thf(tp_c_Expr_Oexp_OFAss,type,
    c_Expr_Oexp_OFAss: $i > $i > $i > $i > $i > $i ).

thf(tp_c_Expr_Oexp_OSeq,type,
    c_Expr_Oexp_OSeq: $i > $i > $i > $i ).

thf(tp_c_Expr_Oexp_Onew,type,
    c_Expr_Oexp_Onew: $i > $i > $i ).

thf(tp_c_Map_Omap__le,type,
    c_Map_Omap__le: $i > $i > $i > $i > $o ).

thf(tp_c_Objects_Ohext,type,
    c_Objects_Ohext: $i > $i > $o ).

thf(tp_c_Pair,type,
    c_Pair: $i > $i > $i > $i > $i ).

thf(tp_c_Progress_OWTrt_H,type,
    c_Progress_OWTrt_H: $i > $i > $i > $i > $i > $o ).

thf(tp_c_TypeRel_Ohas__field,type,
    c_TypeRel_Ohas__field: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_TypeRel_Osees__field,type,
    c_TypeRel_Osees__field: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_c_TypeRel_Owiden,type,
    c_TypeRel_Owiden: $i > $i > $i > $i > $o ).

thf(tp_c_TypeSafe__Mirabelle_Osconf,type,
    c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).

thf(tp_c_Type_Ois__refT,type,
    c_Type_Ois__refT: $i > $o ).

thf(tp_c_Type_Osko__Type__Xty__Xcase__cong__1__1,type,
    c_Type_Osko__Type__Xty__Xcase__cong__1__1: $i > $i > $i > $i > $i ).

thf(tp_c_Type_Osko__Type__Xty__Xexhaust__1__1,type,
    c_Type_Osko__Type__Xty__Xexhaust__1__1: $i > $i ).

thf(tp_c_Type_Osko__Type__Xty__Xnchotomy__1__1,type,
    c_Type_Osko__Type__Xty__Xnchotomy__1__1: $i > $i ).

thf(tp_c_Type_Oty_OBoolean,type,
    c_Type_Oty_OBoolean: $i ).

thf(tp_c_Type_Oty_OClass,type,
    c_Type_Oty_OClass: $i > $i ).

thf(tp_c_Type_Oty_OInteger,type,
    c_Type_Oty_OInteger: $i ).

thf(tp_c_Type_Oty_ONT,type,
    c_Type_Oty_ONT: $i ).

thf(tp_c_Type_Oty_OVoid,type,
    c_Type_Oty_OVoid: $i ).

thf(tp_c_Type_Oty_Oty__case,type,
    c_Type_Oty_Oty__case: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_Type_Oty_Oty__rec,type,
    c_Type_Oty_Oty__rec: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_WellTypeRT_OWTrt,type,
    c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).

thf(tp_c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_WellType_OWT,type,
    c_WellType_OWT: $i > $i > $i > $i > $o ).

thf(tp_c_WellType_Osko__WellType__XWT__elim__cases__7__1,type,
    c_WellType_Osko__WellType__XWT__elim__cases__7__1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_c_fequal,type,
    c_fequal: $i > $i > $i > $o ).

thf(tp_hAPP,type,
    hAPP: $i > $i > $i ).

thf(tp_hBOOL,type,
    hBOOL: $i > $o ).

thf(tp_t_a,type,
    t_a: $i ).

thf(tp_tc_Expr_Oexp,type,
    tc_Expr_Oexp: $i > $i ).

thf(tp_tc_List_Olist,type,
    tc_List_Olist: $i > $i ).

thf(tp_tc_Option_Ooption,type,
    tc_Option_Ooption: $i > $i ).

thf(tp_tc_String_Ochar,type,
    tc_String_Ochar: $i ).

thf(tp_tc_Type_Oty,type,
    tc_Type_Oty: $i ).

thf(tp_tc_Value_Oval,type,
    tc_Value_Oval: $i ).

thf(tp_tc_fun,type,
    tc_fun: $i > $i > $i ).

thf(tp_tc_nat,type,
    tc_nat: $i ).

thf(tp_tc_prod,type,
    tc_prod: $i > $i > $i ).

thf(tp_v_C_H____,type,
    v_C_H____: $i ).

thf(tp_v_C____,type,
    v_C____: $i ).

thf(tp_v_D____,type,
    v_D____: $i ).

thf(tp_v_E____,type,
    v_E____: $i ).

thf(tp_v_F____,type,
    v_F____: $i ).

thf(tp_v_P,type,
    v_P: $i ).

thf(tp_v_TF____,type,
    v_TF____: $i ).

thf(tp_v_T_092_060_094isub_0622____,type,
    v_T_092_060_094isub_0622____: $i ).

thf(tp_v_T____,type,
    v_T____: $i ).

thf(tp_v_U____,type,
    v_U____: $i ).

thf(tp_v_e_092_060_094isub_0622____,type,
    v_e_092_060_094isub_0622____: $i ).

thf(tp_v_e_Ha____,type,
    v_e_Ha____: $i ).

thf(tp_v_ea____,type,
    v_ea____: $i ).

thf(tp_v_h_Ha____,type,
    v_h_Ha____: $i ).

thf(tp_v_ha____,type,
    v_ha____: $i ).

thf(tp_v_la____,type,
    v_la____: $i ).

thf(tp_v_sko__Type__Xty__Xinduct__1,type,
    v_sko__Type__Xty__Xinduct__1: $i > $i ).

thf(tp_v_sko__Type__Xty__Xinducts__1,type,
    v_sko__Type__Xty__Xinducts__1: $i > $i ).

thf(tp_v_sko__Type__Xty__Xsplit__1,type,
    v_sko__Type__Xty__Xsplit__1: $i > $i > $i > $i ).

thf(tp_v_sko__Type__Xty__Xsplit__asm__1,type,
    v_sko__Type__Xty__Xsplit__asm__1: $i > $i > $i > $i ).

thf(tp_v_sko__Value__Xdefault__val__Xinduct__1,type,
    v_sko__Value__Xdefault__val__Xinduct__1: $i > $i ).

thf(tp_v_sko__local__XFAssRed1__2__1,type,
    v_sko__local__XFAssRed1__2__1: $i > $i > $i > $i > $i > $i ).

thf(tp_v_sko__local__XFAssRed1__Xhyps__2__1,type,
    v_sko__local__XFAssRed1__Xhyps__2__1: $i > $i > $i > $i > $i > $i ).

thf(tp_v_sko__local__XIH__1,type,
    v_sko__local__XIH__1: $i > $i > $i > $i > $i > $i ).

thf(tp_v_sko__unknown__thm__BwWZ__1,type,
    v_sko__unknown__thm__BwWZ__1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(1,axiom,
    ! [V_X: $i,V_Y: $i,T_a: $i] :
      ( ( V_X = V_Y )
      | ~ ( c_fequal @ V_X @ V_Y @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

thf(2,axiom,
    ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

thf(3,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

thf(4,axiom,
    ( v_U____
    = ( c_Type_Oty_OClass @ v_C_H____ ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

thf(5,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
      | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAcc_0) ).

thf(6,axiom,
    ! [V_x: $i] : ( c_Type_Ois__refT @ ( c_Type_Oty_OClass @ V_x ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_2) ).

thf(7,axiom,
    ! [V_E: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_Ohyps_I2_J_0) ).

thf(8,axiom,
    ( ( c_COMBI @ v_P @ t_a )
    = v_P ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).

thf(9,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_H_0) ).

thf(10,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i] :
      ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ t_a ) ) )
      | ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ V_list ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_4) ).

thf(11,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xa: $i] :
      ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_xa ) @ t_a ) ) )
      | ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ V_xa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_4) ).

thf(12,axiom,
    ! [V_P: $i,V_h_H: $i,V_E: $i,V_e: $i,V_T: $i,V_h: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h_H @ V_E @ V_e @ V_T )
      | ~ ( c_Objects_Ohext @ V_h @ V_h_H )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).

thf(13,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).

thf(14,axiom,
    ! [V_list_H: $i] :
      ( ( c_Type_Oty_OClass @ V_list_H )
     != c_Type_Oty_ONT ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).

thf(15,axiom,
    ( ( v_U____ != c_Type_Oty_ONT )
    | ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_0) ).

thf(16,axiom,
    ! [V_list_H: $i] :
      ( c_Type_Oty_OBoolean
     != ( c_Type_Oty_OClass @ V_list_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I14_J_0) ).

thf(17,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).

thf(18,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).

thf(19,axiom,
    ! [V_E: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_I2_J_0) ).

thf(20,axiom,
    ! [V_list_H: $i] :
      ( ( c_Type_Oty_OClass @ V_list_H )
     != c_Type_Oty_OInteger ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I19_J_0) ).

thf(21,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ T_a )
      = ( hAPP @ V_f5 @ V_list ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I5_J_0) ).

thf(22,axiom,
    ! [V_P: $i,V_h: $i,V_E_H: $i,V_e: $i,V_T: $i,V_E: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E_H @ V_e @ V_T )
      | ~ ( c_Map_Omap__le @ V_E @ V_E_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).

thf(23,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_ea____ @ ( c_Type_Oty_OClass @ v_C____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_0) ).

thf(24,axiom,
    ! [V_list: $i,V_list_H: $i] :
      ( ( ( c_Type_Oty_OClass @ V_list )
       != ( c_Type_Oty_OClass @ V_list_H ) )
      | ( V_list = V_list_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinject_0) ).

thf(25,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_H_0) ).

thf(26,axiom,
    ! [V_list_H: $i] :
      ( ( c_Type_Oty_OClass @ V_list_H )
     != c_Type_Oty_OVoid ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I9_J_0) ).

thf(27,axiom,
    ! [V_T: $i,V_C: $i,V_P: $i,V_h: $i,V_E: $i] :
      ( ( V_T
        = ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_0) ).

thf(28,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtNew_0) ).

thf(29,axiom,
    ! [V_Ea: $i,V_Ta: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_Ea @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_ea____ @ V_Ta )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_Ea @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IH_0) ).

thf(30,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_0) ).

thf(31,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).

thf(32,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ T_a )
      = ( hAPP @ V_f5 @ V_list ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I26_J_0) ).

thf(33,axiom,
    ! [V_list_H: $i] :
      ( ( c_Type_Oty_OClass @ V_list_H )
     != c_Type_Oty_OBoolean ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I15_J_0) ).

thf(34,axiom,
    ! [V_list_H: $i] :
      ( c_Type_Oty_OInteger
     != ( c_Type_Oty_OClass @ V_list_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I18_J_0) ).

thf(35,axiom,
    ! [V_list_H: $i] :
      ( c_Type_Oty_ONT
     != ( c_Type_Oty_OClass @ V_list_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I20_J_0) ).

thf(36,axiom,
    ( v_U____
    = ( c_Type_Oty_OClass @ v_C_H____ ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UClass_0) ).

thf(37,axiom,
    ! [V_list_H: $i] :
      ( c_Type_Oty_OVoid
     != ( c_Type_Oty_OClass @ V_list_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I8_J_0) ).

thf(38,axiom,
    ! [V_T: $i,V_D: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i] :
      ( ( V_T
        = ( c_Type_Oty_OClass @ V_D ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_0) ).

thf(39,axiom,
    ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
      ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
     != ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).

thf(40,axiom,
    ! [V_P: $i,V_D: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
      ( ( c_Decl_Ois__class @ V_P @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_3) ).

thf(41,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
      | ~ ( 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 @ c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAssNT_0) ).

thf(42,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OInteger,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I17_J_0) ).

thf(43,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ T_a )
      = V_f1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I1_J_0) ).

thf(44,axiom,
    ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
      ( ( c_WellType_OWT @ V_P @ 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_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTSeq_0) ).

thf(45,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ T_a )
      = V_f2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I2_J_0) ).

thf(46,axiom,
    ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).

thf(47,axiom,
    ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).

thf(48,axiom,
    ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i] :
      ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
     != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I35_J_0) ).

thf(49,axiom,
    ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
      ( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
     != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).

thf(50,axiom,
    ! [V_list: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
      ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
     != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).

thf(51,axiom,
    c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf_0) ).

thf(52,axiom,
    ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).

thf(53,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ T_a )
      = V_f1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I22_J_0) ).

thf(54,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
      ( ( c_Progress_OWTrt_H @ 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_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).

thf(55,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).

thf(56,axiom,
    ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).

thf(57,axiom,
    ! [V_P: $i,V_C: $i,V_E: $i,V_T: $i] :
      ( ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_1) ).

thf(58,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).

thf(59,axiom,
    ! [V_T: $i,V_C: $i,V_P: $i,V_E: $i] :
      ( ( V_T
        = ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_0) ).

thf(60,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
      ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ t_a ) ) )
      | ( hBOOL @ ( hAPP @ V_P @ V_f3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_2) ).

thf(61,axiom,
    ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).

thf(62,axiom,
    ! [V_T: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_v: $i] :
      ( ( V_T = c_Type_Oty_OVoid )
      | ( V_T = c_Type_Oty_OVoid )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).

thf(63,axiom,
    ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
      ( ( V_f = V_g )
      | ~ ( c_Map_Omap__le @ V_g @ V_f @ T_a @ T_b )
      | ~ ( c_Map_Omap__le @ V_f @ V_g @ T_a @ T_b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).

thf(64,axiom,
    ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).

thf(65,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ T_a )
      = V_f4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I4_J_0) ).

thf(66,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OInteger,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I10_J_0) ).

thf(67,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OVoid,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).

thf(68,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
      ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ t_a ) ) )
      | ( hBOOL @ ( hAPP @ V_P @ V_f4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_3) ).

thf(69,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

thf(70,axiom,
    ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).

thf(71,axiom,
    v_T____ = c_Type_Oty_OVoid,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_void_0) ).

thf(72,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAccNT_0) ).

thf(73,axiom,
    ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).

thf(74,axiom,
    ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).

thf(75,axiom,
    ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).

thf(76,axiom,
    ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).

thf(77,axiom,
    ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).

thf(78,axiom,
    ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).

thf(79,axiom,
    ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).

thf(80,axiom,
    ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
      ( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
     != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).

thf(81,axiom,
    ! [V_P: $i,V_D: $i,V_E: $i,V_e: $i,V_T: $i] :
      ( ( c_Decl_Ois__class @ V_P @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_2) ).

thf(82,axiom,
    ! [V_P: $i,V_C: $i,V_h: $i,V_E: $i,V_T: $i] :
      ( ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_1) ).

thf(83,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I2_J_0) ).

thf(84,axiom,
    ! [V_T: $i,V_D: $i,V_P: $i,V_E: $i,V_e: $i] :
      ( ( V_T
        = ( c_Type_Oty_OClass @ V_D ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_0) ).

thf(85,axiom,
    ! [V_P: $i,V_E: $i,V_C: $i] :
      ( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTNew_0) ).

thf(86,axiom,
    ! [V_P: $i,V_E_H: $i,V_e: $i,V_T: $i,V_E: $i] :
      ( ( c_WellType_OWT @ V_P @ V_E_H @ V_e @ V_T )
      | ~ ( c_Map_Omap__le @ V_E @ V_E_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).

thf(87,axiom,
    ! [V_m1: $i,V_m3: $i,T_a: $i,T_b: $i,V_m2: $i] :
      ( ( c_Map_Omap__le @ V_m1 @ V_m3 @ T_a @ T_b )
      | ~ ( c_Map_Omap__le @ V_m2 @ V_m3 @ T_a @ T_b )
      | ~ ( c_Map_Omap__le @ V_m1 @ V_m2 @ T_a @ T_b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__trans_0) ).

thf(88,axiom,
    ! [V_f: $i,T_a: $i,T_b: $i] : ( c_Map_Omap__le @ V_f @ V_f @ T_a @ T_b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).

thf(89,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i,V_e: $i,V_T: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_Type_Ois__refT @ V_T )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I2_J_0) ).

thf(90,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ T_a )
      = V_f3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I24_J_0) ).

thf(91,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ T_a )
      = V_f4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I25_J_0) ).

thf(92,axiom,
    ! [V_list_H: $i,V_exp_H: $i,T_a: $i,V_list: $i] :
      ( ( c_Expr_Oexp_OCast @ V_list_H @ V_exp_H @ T_a )
     != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).

thf(93,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I1_J_0) ).

thf(94,axiom,
    c_Type_Oty_OInteger != c_Type_Oty_ONT,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I16_J_0) ).

thf(95,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i,V_e: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
      | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_Type_Ois__refT @ V_T )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCast_0) ).

thf(96,axiom,
    c_Type_Oty_OInteger != c_Type_Oty_OVoid,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I5_J_0) ).

thf(97,axiom,
    ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).

thf(98,axiom,
    ! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).

thf(99,axiom,
    ! [V_P: $i,T_a: $i] :
      ( ( c_COMBI @ V_P @ T_a )
      = V_P ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).

thf(100,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_F: $i,V_D: $i,V_v: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
      | ( V_T = c_Type_Oty_OVoid )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_1) ).

thf(101,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).

thf(102,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_ea____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).

thf(103,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ T_a )
      = V_f3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I3_J_0) ).

thf(104,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
      | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I8_J_0) ).

thf(105,axiom,
    ! [V_h: $i,V_h_H_H: $i,V_h_H: $i] :
      ( ( c_Objects_Ohext @ V_h @ V_h_H_H )
      | ~ ( c_Objects_Ohext @ V_h_H @ V_h_H_H )
      | ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__trans_0) ).

thf(106,axiom,
    ! [V_h: $i] : ( c_Objects_Ohext @ V_h @ V_h ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).

thf(107,axiom,
    ! [V_list: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
      ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
     != ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I28_J_0) ).

thf(108,axiom,
    ! [V_list: $i,T_a: $i,V_list_H: $i] :
      ( ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
       != ( c_Expr_Oexp_Onew @ V_list_H @ T_a ) )
      | ( V_list = V_list_H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).

thf(109,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OInteger,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I4_J_0) ).

thf(110,axiom,
    ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i] :
      ( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
     != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).

thf(111,axiom,
    ! [V_list: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
      ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
     != ( c_Expr_Oexp_OCast @ V_list_H @ V_exp_H @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I16_J_0) ).

thf(112,axiom,
    c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I11_J_0) ).

thf(113,axiom,
    ! [V_T: $i,V_P: $i,V_E: $i,V_a: $i,V_F: $i,V_D: $i,V_v: $i] :
      ( ( V_T = c_Type_Oty_OVoid )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAss @ V_a @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I8_J_0) ).

thf(114,axiom,
    ! [V_list: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
      ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
     != ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).

thf(115,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
      ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ T_a )
      = V_f2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I23_J_0) ).

thf(116,axiom,
    ! [V_list: $i,V_exp: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).

thf(117,axiom,
    ! [V_list: $i,V_exp: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).

thf(118,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_ONT,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).

thf(119,axiom,
    ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_list: $i] :
      ( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
     != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I27_J_0) ).

thf(120,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_ONT,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I6_J_0) ).

thf(121,axiom,
    c_Type_Ois__refT @ c_Type_Oty_ONT,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_1) ).

thf(122,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
      ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ t_a ) ) )
      | ( hBOOL @ ( hAPP @ V_P @ V_f2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_1) ).

thf(123,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
      ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ t_a ) ) )
      | ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_0) ).

thf(124,axiom,
    ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).

thf(125,axiom,
    ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
      ( ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).

thf(126,axiom,
    ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
      ( ( 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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).

thf(127,axiom,
    ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
      ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
     != ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).

thf(128,axiom,
    ! [V_T: $i] :
      ( ( V_T = c_Type_Oty_OInteger )
      | ( V_T = c_Type_Oty_OBoolean )
      | ( V_T = c_Type_Oty_OVoid )
      | ( c_Type_Ois__refT @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__refTE_0) ).

thf(129,axiom,
    ( ( v_U____ != c_Type_Oty_ONT )
    | ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_1) ).

thf(130,axiom,
    ! [V_E: $i,V_T: $i] :
      ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_I2_J_1) ).

thf(131,axiom,
    ! [V_E: $i,V_T: $i] :
      ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_Ohyps_I2_J_1) ).

thf(132,axiom,
    ! [V_Ea: $i,V_Ta: $i] :
      ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_Ha____ @ v_h_Ha____ ) @ V_Ta @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_ea____ @ V_Ta )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_Ea @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IH_1) ).

thf(133,axiom,
    c_TypeRel_Ohas__field @ v_P @ v_C____ @ v_F____ @ v_TF____ @ v_D____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_has_0) ).

thf(134,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_5) ).

thf(135,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_5) ).

thf(136,axiom,
    ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
      ( ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_x @ T_a ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_0) ).

thf(137,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T: $i,V_C: $i] :
      ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
      | ~ ( c_TypeRel_Owiden @ V_P @ V_T_092_060_094isub_0622 @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
      | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I10_J_0) ).

thf(138,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T: $i,V_C: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
      | ~ ( c_TypeRel_Owiden @ V_P @ V_T_092_060_094isub_0622 @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
      | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAss_0) ).

thf(139,axiom,
    ! [V_P: $i,V_S: $i,V_T: $i,T_a: $i,V_U: $i] :
      ( ( c_TypeRel_Owiden @ V_P @ V_S @ V_T @ T_a )
      | ~ ( c_TypeRel_Owiden @ V_P @ V_U @ V_T @ T_a )
      | ~ ( c_TypeRel_Owiden @ V_P @ V_S @ V_U @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).

thf(140,axiom,
    ! [V_P: $i,V_T: $i,T_a: $i] : ( c_TypeRel_Owiden @ V_P @ V_T @ V_T @ T_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).

thf(141,axiom,
    ! [V_f5: $i,V_xd: $i,V_g5: $i,T_a: $i,V_xc: $i,V_xb: $i,V_xa: $i,V_x: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) ) )
      | ( ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_f5 @ V_xd @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_g5 @ V_xd @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_31) ).

thf(142,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_36) ).

thf(143,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_36) ).

thf(144,axiom,
    c_TypeRel_Owiden @ v_P @ v_T_092_060_094isub_0622____ @ v_TF____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sub_0) ).

thf(145,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_35) ).

thf(146,axiom,
    ! [V_xc: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f5: $i,V_xd: $i,T_a: $i,V_g5: $i] :
      ( ( ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_f5 @ V_xd @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_g5 @ V_xd @ T_a ) )
      | ( V_xd
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_30) ).

thf(147,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_35) ).

thf(148,axiom,
    ! [V_P: $i,V_C: $i,T_a: $i] : ( c_TypeRel_Owiden @ V_P @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ V_C ) @ T_a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__Class_2) ).

thf(149,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_32) ).

thf(150,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_32) ).

thf(151,axiom,
    ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_xa: $i,V_f3: $i,V_x: $i,V_g3: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xc = c_Type_Oty_OInteger )
      | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xc @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_27) ).

thf(152,axiom,
    ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f4: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xc = c_Type_Oty_ONT )
      | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xc @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_29) ).

thf(153,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_34) ).

thf(154,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_34) ).

thf(155,axiom,
    ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xb: $i,V_xa: $i,V_x: $i,V_g1: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xc = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xb @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_xb @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_15) ).

thf(156,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_20) ).

thf(157,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_20) ).

thf(158,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_28) ).

thf(159,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_28) ).

thf(160,axiom,
    ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_f2: $i,V_xa: $i,V_x: $i,V_g2: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xc = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_xb @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xb @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_23) ).

thf(161,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_31) ).

thf(162,axiom,
    ! [V_xc: $i,V_xb: $i,V_xa: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g3: $i,V_g5: $i] :
      ( ( V_xc = c_Type_Oty_OInteger )
      | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xc @ T_a ) )
      | ( V_xc
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_26) ).

thf(163,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_31) ).

thf(164,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_33) ).

thf(165,axiom,
    ! [V_xb: $i,V_xa: $i,V_x: $i,V_f4: $i,V_f5: $i,V_xc: $i,T_a: $i,V_g4: $i,V_g5: $i] :
      ( ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xc @ T_a ) )
      | ( V_xc
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xc = c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_28) ).

thf(166,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_33) ).

thf(167,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_19) ).

thf(168,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_19) ).

thf(169,axiom,
    ! [V_xc: $i,V_f1: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g5: $i] :
      ( ( V_xc = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xb @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_xb @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) )
      | ( V_xc
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_14) ).

thf(170,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_27) ).

thf(171,axiom,
    ! [V_xc: $i,V_xb: $i,V_f2: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g5: $i] :
      ( ( V_xc = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_xb @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xb @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) )
      | ( V_xc
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_22) ).

thf(172,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_27) ).

thf(173,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_30) ).

thf(174,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_30) ).

thf(175,axiom,
    ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_x: $i,V_f3: $i,V_f4: $i,V_g3: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_ONT )
      | ( V_xb = c_Type_Oty_OInteger )
      | ( ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_25) ).

thf(176,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_16) ).

thf(177,axiom,
    ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xa: $i,V_f3: $i,V_x: $i,V_g1: $i,V_g3: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_OInteger )
      | ( V_xb = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_11) ).

thf(178,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_16) ).

thf(179,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_18) ).

thf(180,axiom,
    ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xa: $i,V_x: $i,V_f4: $i,V_g1: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_ONT )
      | ( V_xb = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_13) ).

thf(181,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_18) ).

thf(182,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_24) ).

thf(183,axiom,
    ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_f2: $i,V_f3: $i,V_x: $i,V_g2: $i,V_g3: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_OInteger )
      | ( V_xb = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_19) ).

thf(184,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_24) ).

thf(185,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_26) ).

thf(186,axiom,
    ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_f2: $i,V_x: $i,V_f4: $i,V_g2: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_ONT )
      | ( V_xb = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_21) ).

thf(187,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_26) ).

thf(188,axiom,
    ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_x: $i,V_g1: $i,V_g2: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_OBoolean )
      | ( V_xb = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xb @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_7) ).

thf(189,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_12) ).

thf(190,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_12) ).

thf(191,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_29) ).

thf(192,axiom,
    ! [V_xa: $i,V_x: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xb: $i,T_a: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
      ( ( ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xb @ T_a ) )
      | ( V_xb
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_ONT )
      | ( V_xb = c_Type_Oty_OInteger ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_24) ).

thf(193,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_29) ).

thf(194,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_15) ).

thf(195,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_15) ).

thf(196,axiom,
    ! [V_xb: $i,V_f1: $i,V_xa: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g3: $i,V_g5: $i] :
      ( ( V_xb = c_Type_Oty_OInteger )
      | ( V_xb = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) )
      | ( V_xb
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_10) ).

thf(197,axiom,
    ! [V_xb: $i,V_f1: $i,V_xa: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g4: $i,V_g5: $i] :
      ( ( V_xb = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) )
      | ( V_xb
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_12) ).

thf(198,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_17) ).

thf(199,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_17) ).

thf(200,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_23) ).

thf(201,axiom,
    ! [V_xb: $i,V_xa: $i,V_f2: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g3: $i,V_g5: $i] :
      ( ( V_xb = c_Type_Oty_OInteger )
      | ( V_xb = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) )
      | ( V_xb
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_18) ).

thf(202,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_23) ).

thf(203,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_25) ).

thf(204,axiom,
    ! [V_xb: $i,V_xa: $i,V_f2: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g4: $i,V_g5: $i] :
      ( ( V_xb = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) )
      | ( V_xb
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xb = c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_20) ).

thf(205,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_25) ).

thf(206,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_11) ).

thf(207,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_11) ).

thf(208,axiom,
    ! [V_xb: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g5: $i] :
      ( ( V_xb = c_Type_Oty_OBoolean )
      | ( V_xb = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xb @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xb @ T_a ) )
      | ( V_xb
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_6) ).

thf(209,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_14) ).

thf(210,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_14) ).

thf(211,axiom,
    ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_x: $i,V_f3: $i,V_f4: $i,V_g1: $i,V_g3: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_ONT )
      | ( V_xa = c_Type_Oty_OInteger )
      | ( V_xa = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_9) ).

thf(212,axiom,
    ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_x: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_g2: $i,V_g3: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_ONT )
      | ( V_xa = c_Type_Oty_OInteger )
      | ( V_xa = c_Type_Oty_OBoolean )
      | ( ( c_Type_Oty_Oty__case @ V_x @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_x @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_17) ).

thf(213,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_22) ).

thf(214,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_22) ).

thf(215,axiom,
    ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,V_g1: $i,V_g2: $i,V_g3: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_OInteger )
      | ( V_xa = c_Type_Oty_OBoolean )
      | ( V_xa = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xa @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_3) ).

thf(216,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_8) ).

thf(217,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_8) ).

thf(218,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_10) ).

thf(219,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_10) ).

thf(220,axiom,
    ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_x: $i,V_f4: $i,V_g1: $i,V_g2: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_ONT )
      | ( V_xa = c_Type_Oty_OBoolean )
      | ( V_xa = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_5) ).

thf(221,axiom,
    ! [V_xa: $i,V_f1: $i,V_x: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
      ( ( V_xa = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) )
      | ( V_xa
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_ONT )
      | ( V_xa = c_Type_Oty_OInteger ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_8) ).

thf(222,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_13) ).

thf(223,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_13) ).

thf(224,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_21) ).

thf(225,axiom,
    ! [V_x: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xa: $i,T_a: $i,V_g2: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
      ( ( ( c_Type_Oty_Oty__case @ V_x @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_x @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) )
      | ( V_xa
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_ONT )
      | ( V_xa = c_Type_Oty_OInteger )
      | ( V_xa = c_Type_Oty_OBoolean ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_16) ).

thf(226,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_21) ).

thf(227,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_7) ).

thf(228,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_7) ).

thf(229,axiom,
    ! [V_xa: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g5: $i] :
      ( ( V_xa = c_Type_Oty_OInteger )
      | ( V_xa = c_Type_Oty_OBoolean )
      | ( V_xa = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xa @ T_a ) )
      | ( V_xa
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_2) ).

thf(230,axiom,
    ! [V_xa: $i,V_f1: $i,V_f2: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g4: $i,V_g5: $i] :
      ( ( V_xa = c_Type_Oty_OBoolean )
      | ( V_xa = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xa @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xa @ T_a ) )
      | ( V_xa
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_xa = c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_4) ).

thf(231,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_9) ).

thf(232,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ( V_x
        = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_9) ).

thf(233,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_6) ).

thf(234,axiom,
    ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_6) ).

thf(235,axiom,
    ! [V_f5: $i,V_x: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g4: $i] :
      ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) )
       != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) ) )
      | ( V_x = c_Type_Oty_ONT )
      | ( V_x = c_Type_Oty_OInteger )
      | ( V_x = c_Type_Oty_OBoolean )
      | ( V_x = c_Type_Oty_OVoid )
      | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ T_a )
        = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_x @ T_a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_1) ).

thf(236,axiom,
    c_TypeRel_Owiden @ v_P @ v_U____ @ ( c_Type_Oty_OClass @ v_C____ ) @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UsubC_0) ).

thf(237,axiom,
    ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_H: $i,V_T: $i,V_C: $i] :
      ( ( c_WellType_OWT @ V_P @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
      | ~ ( c_TypeRel_Owiden @ V_P @ V_T_H @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_H )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTFAss_0) ).

thf(238,axiom,
    ! [V_P: $i,V_ty: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ V_P ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_default__val_Oinduct_0) ).

thf(239,axiom,
    ! [V_D_H: $i,V_D: $i,V_P: $i,V_C: $i,V_F: $i,V_T_H: $i,T_a: $i,V_T: $i] :
      ( ( V_D_H = V_D )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T_H @ V_D_H @ T_a )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__field__fun_1) ).

thf(240,axiom,
    ! [V_T_H: $i,V_T: $i,V_P: $i,V_C: $i,V_F: $i,V_D_H: $i,T_a: $i,V_D: $i] :
      ( ( V_T_H = V_T )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T_H @ V_D_H @ T_a )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__field__fun_0) ).

thf(241,axiom,
    ! [V_P: $i,V_D: $i,V_E: $i,V_F: $i,V_T: $i,V_a: $i] :
      ( ( c_TypeRel_Osees__field @ V_P @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_a ) @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_a @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I7_J_1) ).

thf(242,axiom,
    ! [V_P: $i,V_C: $i,V_F: $i,V_T: $i,V_D: $i,T_a: $i] :
      ( ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_has__visible__field_0) ).

thf(243,axiom,
    ! [V_P: $i,V_D: $i,V_F: $i,V_T: $i,T_a: $i,V_C: $i] :
      ( ( c_TypeRel_Osees__field @ V_P @ V_D @ V_F @ V_T @ V_D @ T_a )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__field__idemp_0) ).

thf(244,axiom,
    ! [V_P: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
      ( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
      | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTFAcc_0) ).

thf(245,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
      | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).

thf(246,axiom,
    ! [V_T: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i] :
      ( ( V_T = c_Type_Oty_OVoid )
      | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_3) ).

thf(247,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
      | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_e @ V_h ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I7_J_0) ).

thf(248,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
      | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_e @ V_h ) @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I7_J_1) ).

thf(249,axiom,
    ! [V_P: $i,V_ty: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ V_P ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinducts_0) ).

thf(250,axiom,
    ! [V_y: $i] :
      ( ( V_y
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ V_y ) ) )
      | ( V_y = c_Type_Oty_ONT )
      | ( V_y = c_Type_Oty_OInteger )
      | ( V_y = c_Type_Oty_OBoolean )
      | ( V_y = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oexhaust_0) ).

thf(251,axiom,
    ! [V_P: $i,V_ty: $i] :
      ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ V_P ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
      | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinduct_0) ).

thf(252,axiom,
    ! [V_v: $i] :
      ( ( V_v
        = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ V_v ) ) )
      | ( V_v = c_Type_Oty_ONT )
      | ( V_v = c_Type_Oty_OInteger )
      | ( V_v = c_Type_Oty_OBoolean )
      | ( V_v = c_Type_Oty_OVoid ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Onchotomy_0) ).

thf(253,axiom,
    ! [V_P: $i,V_E: $i,V_a: $i,V_D: $i,V_F: $i,V_T: $i] :
      ( ( c_WellType_OWT @ V_P @ V_E @ V_a @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_a ) ) )
      | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_a @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I7_J_0) ).

thf(254,axiom,
    ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i,V_T: $i] :
      ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
      | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).

thf(255,axiom,
    ! [V_T: $i,V_P: $i,V_D: $i,V_E: $i,V_F: $i,V_e: $i,V_h: $i,V_v: $i] :
      ( ( V_T = c_Type_Oty_OVoid )
      | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_6) ).

thf(256,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(257,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[256]) ).

thf(258,negated_conjecture,
    ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ ( c_Type_Oty_OClass @ v_C_H____ ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(259,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[257]) ).

thf(260,plain,
    ( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
          ( ( V_X = V_Y )
          | ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(261,plain,
    ( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(262,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____ )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(263,plain,
    ( ( v_U____
      = ( c_Type_Oty_OClass @ v_C_H____ ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(264,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(265,plain,
    ( ( ! [V_x: $i] : ( c_Type_Ois__refT @ ( c_Type_Oty_OClass @ V_x ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(266,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(267,plain,
    ( ( ( c_COMBI @ v_P @ t_a )
      = v_P )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(268,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____ )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(269,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ V_list ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(270,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xa: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_xa ) @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ V_xa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(271,plain,
    ( ( ! [V_P: $i,V_h_H: $i,V_E: $i,V_e: $i,V_T: $i,V_h: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h_H @ V_E @ V_e @ V_T )
          | ~ ( c_Objects_Ohext @ V_h @ V_h_H )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(272,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(273,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_ONT ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(274,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      | ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(275,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_OBoolean
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(276,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(277,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(278,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(279,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_OInteger ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(280,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ T_a )
          = ( hAPP @ V_f5 @ V_list ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(281,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E_H: $i,V_e: $i,V_T: $i,V_E: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E_H @ V_e @ V_T )
          | ~ ( c_Map_Omap__le @ V_E @ V_E_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(282,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_ea____ @ ( c_Type_Oty_OClass @ v_C____ ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(283,plain,
    ( ( ! [V_list: $i,V_list_H: $i] :
          ( ( ( c_Type_Oty_OClass @ V_list )
           != ( c_Type_Oty_OClass @ V_list_H ) )
          | ( V_list = V_list_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(284,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____ )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(285,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_OVoid ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(286,plain,
    ( ( ! [V_T: $i,V_C: $i,V_P: $i,V_h: $i,V_E: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(287,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(288,plain,
    ( ( ! [V_Ea: $i,V_Ta: $i] :
          ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_Ea @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_Ha____ @ v_h_Ha____ ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_ea____ @ V_Ta )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_Ea @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(289,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____ )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(290,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(291,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ T_a )
          = ( hAPP @ V_f5 @ V_list ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(292,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_OBoolean ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(293,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_OInteger
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(294,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_ONT
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(295,plain,
    ( ( v_U____
      = ( c_Type_Oty_OClass @ v_C_H____ ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(296,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_OVoid
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(297,plain,
    ( ( ! [V_T: $i,V_D: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_D ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(298,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
          ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(299,plain,
    ( ( ! [V_P: $i,V_D: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(300,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( 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 @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(301,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OInteger )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(302,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ T_a )
          = V_f1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(303,plain,
    ( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
          ( ( c_WellType_OWT @ V_P @ 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_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(304,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ T_a )
          = V_f2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(305,plain,
    ( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(306,plain,
    ( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(307,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(308,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
         != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(309,plain,
    ( ( ! [V_list: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(310,plain,
    ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(311,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(312,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ T_a )
          = V_f1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(313,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
          ( ( c_Progress_OWTrt_H @ 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_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(314,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(315,plain,
    ( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(316,plain,
    ( ( ! [V_P: $i,V_C: $i,V_E: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(317,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(318,plain,
    ( ( ! [V_T: $i,V_C: $i,V_P: $i,V_E: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(319,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(320,plain,
    ( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(321,plain,
    ( ( ! [V_T: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ( V_T = c_Type_Oty_OVoid )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(322,plain,
    ( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
          ( ( V_f = V_g )
          | ~ ( c_Map_Omap__le @ V_g @ V_f @ T_a @ T_b )
          | ~ ( c_Map_Omap__le @ V_f @ V_g @ T_a @ T_b ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(323,plain,
    ( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(324,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ T_a )
          = V_f4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(325,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_OInteger )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(326,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(327,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(328,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(329,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(330,plain,
    ( ( v_T____ = c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(331,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(332,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(333,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(334,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(335,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(336,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(337,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(338,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(339,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
         != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(340,plain,
    ( ( ! [V_P: $i,V_D: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(341,plain,
    ( ( ! [V_P: $i,V_C: $i,V_h: $i,V_E: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(342,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_OBoolean )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(343,plain,
    ( ( ! [V_T: $i,V_D: $i,V_P: $i,V_E: $i,V_e: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_D ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(344,plain,
    ( ( ! [V_P: $i,V_E: $i,V_C: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(345,plain,
    ( ( ! [V_P: $i,V_E_H: $i,V_e: $i,V_T: $i,V_E: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E_H @ V_e @ V_T )
          | ~ ( c_Map_Omap__le @ V_E @ V_E_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(346,plain,
    ( ( ! [V_m1: $i,V_m3: $i,T_a: $i,T_b: $i,V_m2: $i] :
          ( ( c_Map_Omap__le @ V_m1 @ V_m3 @ T_a @ T_b )
          | ~ ( c_Map_Omap__le @ V_m2 @ V_m3 @ T_a @ T_b )
          | ~ ( c_Map_Omap__le @ V_m1 @ V_m2 @ T_a @ T_b ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(347,plain,
    ( ( ! [V_f: $i,T_a: $i,T_b: $i] : ( c_Map_Omap__le @ V_f @ V_f @ T_a @ T_b ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(348,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i,V_e: $i,V_T: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Type_Ois__refT @ V_T )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(349,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ T_a )
          = V_f3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(350,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ T_a )
          = V_f4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(351,plain,
    ( ( ! [V_list_H: $i,V_exp_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OCast @ V_list_H @ V_exp_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(352,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(353,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(354,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i,V_e: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Type_Ois__refT @ V_T )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(355,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(356,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(357,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(358,plain,
    ( ( ! [V_P: $i,T_a: $i] :
          ( ( c_COMBI @ V_P @ T_a )
          = V_P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(359,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_F: $i,V_D: $i,V_v: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( V_T = c_Type_Oty_OVoid )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(360,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OBoolean )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(361,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_ea____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____ )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(362,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ T_a )
          = V_f3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(363,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(364,plain,
    ( ( ! [V_h: $i,V_h_H_H: $i,V_h_H: $i] :
          ( ( c_Objects_Ohext @ V_h @ V_h_H_H )
          | ~ ( c_Objects_Ohext @ V_h_H @ V_h_H_H )
          | ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(365,plain,
    ( ( ! [V_h: $i] : ( c_Objects_Ohext @ V_h @ V_h ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106]) ).

thf(366,plain,
    ( ( ! [V_list: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(367,plain,
    ( ( ! [V_list: $i,T_a: $i,V_list_H: $i] :
          ( ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
           != ( c_Expr_Oexp_Onew @ V_list_H @ T_a ) )
          | ( V_list = V_list_H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(368,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_OInteger )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(369,plain,
    ( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[110]) ).

thf(370,plain,
    ( ( ! [V_list: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OCast @ V_list_H @ V_exp_H @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[111]) ).

thf(371,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_OBoolean )
    = $true ),
    inference(unfold_def,[status(thm)],[112]) ).

thf(372,plain,
    ( ( ! [V_T: $i,V_P: $i,V_E: $i,V_a: $i,V_F: $i,V_D: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAss @ V_a @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[113]) ).

thf(373,plain,
    ( ( ! [V_list: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(374,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ T_a )
          = V_f2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[115]) ).

thf(375,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(376,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117]) ).

thf(377,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[118]) ).

thf(378,plain,
    ( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119]) ).

thf(379,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[120]) ).

thf(380,plain,
    ( ( c_Type_Ois__refT @ c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(381,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122]) ).

thf(382,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(383,plain,
    ( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(384,plain,
    ( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(385,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(386,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
          ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(387,plain,
    ( ( ! [V_T: $i] :
          ( ( V_T = c_Type_Oty_OInteger )
          | ( V_T = c_Type_Oty_OBoolean )
          | ( V_T = c_Type_Oty_OVoid )
          | ( c_Type_Ois__refT @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(388,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      | ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(389,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(390,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(391,plain,
    ( ( ! [V_Ea: $i,V_Ta: $i] :
          ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_Ha____ @ v_h_Ha____ ) @ V_Ta @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_ea____ @ V_Ta )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_Ea @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(392,plain,
    ( ( c_TypeRel_Ohas__field @ v_P @ v_C____ @ v_F____ @ v_TF____ @ v_D____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(393,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134]) ).

thf(394,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135]) ).

thf(395,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_x @ T_a ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136]) ).

thf(396,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T: $i,V_C: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_T_092_060_094isub_0622 @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(397,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T: $i,V_C: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_T_092_060_094isub_0622 @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(398,plain,
    ( ( ! [V_P: $i,V_S: $i,V_T: $i,T_a: $i,V_U: $i] :
          ( ( c_TypeRel_Owiden @ V_P @ V_S @ V_T @ T_a )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_U @ V_T @ T_a )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_S @ V_U @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(399,plain,
    ( ( ! [V_P: $i,V_T: $i,T_a: $i] : ( c_TypeRel_Owiden @ V_P @ V_T @ V_T @ T_a ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(400,plain,
    ( ( ! [V_f5: $i,V_xd: $i,V_g5: $i,T_a: $i,V_xc: $i,V_xb: $i,V_xa: $i,V_x: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) ) )
          | ( ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_f5 @ V_xd @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_g5 @ V_xd @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(401,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(402,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(403,plain,
    ( ( c_TypeRel_Owiden @ v_P @ v_T_092_060_094isub_0622____ @ v_TF____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(404,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(405,plain,
    ( ( ! [V_xc: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f5: $i,V_xd: $i,T_a: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_f5 @ V_xd @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_g5 @ V_xd @ T_a ) )
          | ( V_xd
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(406,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(407,plain,
    ( ( ! [V_P: $i,V_C: $i,T_a: $i] : ( c_TypeRel_Owiden @ V_P @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ V_C ) @ T_a ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(408,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(409,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(410,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_xa: $i,V_f3: $i,V_x: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(411,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f4: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_ONT )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(412,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(413,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(414,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xb: $i,V_xa: $i,V_x: $i,V_g1: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xb @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xb @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(415,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(416,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(417,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(418,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(419,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_f2: $i,V_xa: $i,V_x: $i,V_g2: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(420,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(421,plain,
    ( ( ! [V_xc: $i,V_xb: $i,V_xa: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xc = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(422,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(423,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(424,plain,
    ( ( ! [V_xb: $i,V_xa: $i,V_x: $i,V_f4: $i,V_f5: $i,V_xc: $i,T_a: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(425,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(426,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(427,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(428,plain,
    ( ( ! [V_xc: $i,V_f1: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g5: $i] :
          ( ( V_xc = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xb @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xb @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(429,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(430,plain,
    ( ( ! [V_xc: $i,V_xb: $i,V_f2: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g5: $i] :
          ( ( V_xc = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(431,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(432,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(433,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(434,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_x: $i,V_f3: $i,V_f4: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(435,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(436,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xa: $i,V_f3: $i,V_x: $i,V_g1: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(437,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(438,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(439,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xa: $i,V_x: $i,V_f4: $i,V_g1: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(440,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(441,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(442,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_f2: $i,V_f3: $i,V_x: $i,V_g2: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(443,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(444,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(445,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_f2: $i,V_x: $i,V_f4: $i,V_g2: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(446,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(447,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_x: $i,V_g1: $i,V_g2: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(448,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(449,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(450,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(451,plain,
    ( ( ! [V_xa: $i,V_x: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xb: $i,T_a: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OInteger ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(452,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(453,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(454,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(455,plain,
    ( ( ! [V_xb: $i,V_f1: $i,V_xa: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(456,plain,
    ( ( ! [V_xb: $i,V_f1: $i,V_xa: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(457,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(458,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(459,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(460,plain,
    ( ( ! [V_xb: $i,V_xa: $i,V_f2: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(461,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(462,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(463,plain,
    ( ( ! [V_xb: $i,V_xa: $i,V_f2: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(464,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(465,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(466,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(467,plain,
    ( ( ! [V_xb: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OBoolean )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(468,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(469,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(470,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_x: $i,V_f3: $i,V_f4: $i,V_g1: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(471,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_x: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_g2: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_x @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_x @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(472,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(473,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(474,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,V_g1: $i,V_g2: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(475,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(476,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(477,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(478,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(479,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_x: $i,V_f4: $i,V_g1: $i,V_g2: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(480,plain,
    ( ( ! [V_xa: $i,V_f1: $i,V_x: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(481,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(482,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(483,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(484,plain,
    ( ( ! [V_x: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xa: $i,T_a: $i,V_g2: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_x @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_x @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(485,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(486,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(487,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(488,plain,
    ( ( ! [V_xa: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(489,plain,
    ( ( ! [V_xa: $i,V_f1: $i,V_f2: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(490,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(491,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(492,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(493,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(494,plain,
    ( ( ! [V_f5: $i,V_x: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_x @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(495,plain,
    ( ( c_TypeRel_Owiden @ v_P @ v_U____ @ ( c_Type_Oty_OClass @ v_C____ ) @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(496,plain,
    ( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_H: $i,V_T: $i,V_C: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_T_H @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_H )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(497,plain,
    ( ( ! [V_P: $i,V_ty: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ V_P ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(498,plain,
    ( ( ! [V_D_H: $i,V_D: $i,V_P: $i,V_C: $i,V_F: $i,V_T_H: $i,T_a: $i,V_T: $i] :
          ( ( V_D_H = V_D )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T_H @ V_D_H @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(499,plain,
    ( ( ! [V_T_H: $i,V_T: $i,V_P: $i,V_C: $i,V_F: $i,V_D_H: $i,T_a: $i,V_D: $i] :
          ( ( V_T_H = V_T )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T_H @ V_D_H @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(500,plain,
    ( ( ! [V_P: $i,V_D: $i,V_E: $i,V_F: $i,V_T: $i,V_a: $i] :
          ( ( c_TypeRel_Osees__field @ V_P @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_a ) @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_a @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(501,plain,
    ( ( ! [V_P: $i,V_C: $i,V_F: $i,V_T: $i,V_D: $i,T_a: $i] :
          ( ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(502,plain,
    ( ( ! [V_P: $i,V_D: $i,V_F: $i,V_T: $i,T_a: $i,V_C: $i] :
          ( ( c_TypeRel_Osees__field @ V_P @ V_D @ V_F @ V_T @ V_D @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(503,plain,
    ( ( ! [V_P: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[244]) ).

thf(504,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(505,plain,
    ( ( ! [V_T: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(506,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_e @ V_h ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(507,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_e @ V_h ) @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(508,plain,
    ( ( ! [V_P: $i,V_ty: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ V_P ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[249]) ).

thf(509,plain,
    ( ( ! [V_y: $i] :
          ( ( V_y
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ V_y ) ) )
          | ( V_y = c_Type_Oty_ONT )
          | ( V_y = c_Type_Oty_OInteger )
          | ( V_y = c_Type_Oty_OBoolean )
          | ( V_y = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(510,plain,
    ( ( ! [V_P: $i,V_ty: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ V_P ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(511,plain,
    ( ( ! [V_v: $i] :
          ( ( V_v
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ V_v ) ) )
          | ( V_v = c_Type_Oty_ONT )
          | ( V_v = c_Type_Oty_OInteger )
          | ( V_v = c_Type_Oty_OBoolean )
          | ( V_v = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(512,plain,
    ( ( ! [V_P: $i,V_E: $i,V_a: $i,V_D: $i,V_F: $i,V_T: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ V_a @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_a ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_a @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(513,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(514,plain,
    ( ( ! [V_T: $i,V_P: $i,V_D: $i,V_E: $i,V_F: $i,V_e: $i,V_h: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(515,plain,
    ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ ( c_Type_Oty_OClass @ v_C_H____ ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[258]) ).

thf(516,plain,
    ( ( ~ $false ) = $true ),
    inference(polarity_switch,[status(thm)],[259]) ).

thf(517,plain,
    ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ ( c_Type_Oty_OClass @ v_C_H____ ) ) )
    = $true ),
    inference(copy,[status(thm)],[515]) ).

thf(518,plain,
    ( ( ! [V_T: $i,V_P: $i,V_D: $i,V_E: $i,V_F: $i,V_e: $i,V_h: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[514]) ).

thf(519,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[513]) ).

thf(520,plain,
    ( ( ! [V_P: $i,V_E: $i,V_a: $i,V_D: $i,V_F: $i,V_T: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ V_a @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_a ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_a @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[512]) ).

thf(521,plain,
    ( ( ! [V_v: $i] :
          ( ( V_v
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ V_v ) ) )
          | ( V_v = c_Type_Oty_ONT )
          | ( V_v = c_Type_Oty_OInteger )
          | ( V_v = c_Type_Oty_OBoolean )
          | ( V_v = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[511]) ).

thf(522,plain,
    ( ( ! [V_P: $i,V_ty: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ V_P ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[510]) ).

thf(523,plain,
    ( ( ! [V_y: $i] :
          ( ( V_y
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ V_y ) ) )
          | ( V_y = c_Type_Oty_ONT )
          | ( V_y = c_Type_Oty_OInteger )
          | ( V_y = c_Type_Oty_OBoolean )
          | ( V_y = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[509]) ).

thf(524,plain,
    ( ( ! [V_P: $i,V_ty: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ V_P ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[508]) ).

thf(525,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_TypeRel_Ohas__field @ V_P @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_e @ V_h ) @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[507]) ).

thf(526,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_e @ V_h ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[506]) ).

thf(527,plain,
    ( ( ! [V_T: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[505]) ).

thf(528,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i,V_v: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ V_D @ V_E @ V_F @ V_P @ V_e @ V_h @ V_v ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[504]) ).

thf(529,plain,
    ( ( ! [V_P: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[503]) ).

thf(530,plain,
    ( ( ! [V_P: $i,V_D: $i,V_F: $i,V_T: $i,T_a: $i,V_C: $i] :
          ( ( c_TypeRel_Osees__field @ V_P @ V_D @ V_F @ V_T @ V_D @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[502]) ).

thf(531,plain,
    ( ( ! [V_P: $i,V_C: $i,V_F: $i,V_T: $i,V_D: $i,T_a: $i] :
          ( ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[501]) ).

thf(532,plain,
    ( ( ! [V_P: $i,V_D: $i,V_E: $i,V_F: $i,V_T: $i,V_a: $i] :
          ( ( c_TypeRel_Osees__field @ V_P @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ V_D @ V_E @ V_F @ V_P @ V_T @ V_a ) @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAcc @ V_a @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[500]) ).

thf(533,plain,
    ( ( ! [V_T_H: $i,V_T: $i,V_P: $i,V_C: $i,V_F: $i,V_D_H: $i,T_a: $i,V_D: $i] :
          ( ( V_T_H = V_T )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T_H @ V_D_H @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[499]) ).

thf(534,plain,
    ( ( ! [V_D_H: $i,V_D: $i,V_P: $i,V_C: $i,V_F: $i,V_T_H: $i,T_a: $i,V_T: $i] :
          ( ( V_D_H = V_D )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T_H @ V_D_H @ T_a )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[498]) ).

thf(535,plain,
    ( ( ! [V_P: $i,V_ty: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ V_ty ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ V_P ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ c_Type_Oty_OVoid ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[497]) ).

thf(536,plain,
    ( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_H: $i,V_T: $i,V_C: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_T_H @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_H )
          | ~ ( c_TypeRel_Osees__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[496]) ).

thf(537,plain,
    ( ( c_TypeRel_Owiden @ v_P @ v_U____ @ ( c_Type_Oty_OClass @ v_C____ ) @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[495]) ).

thf(538,plain,
    ( ( ! [V_f5: $i,V_x: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_x @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[494]) ).

thf(539,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[493]) ).

thf(540,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[492]) ).

thf(541,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[491]) ).

thf(542,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[490]) ).

thf(543,plain,
    ( ( ! [V_xa: $i,V_f1: $i,V_f2: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[489]) ).

thf(544,plain,
    ( ( ! [V_xa: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[488]) ).

thf(545,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[487]) ).

thf(546,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[486]) ).

thf(547,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[485]) ).

thf(548,plain,
    ( ( ! [V_x: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xa: $i,T_a: $i,V_g2: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_x @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_x @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean ) ) )
    = $true ),
    inference(copy,[status(thm)],[484]) ).

thf(549,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[483]) ).

thf(550,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[482]) ).

thf(551,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[481]) ).

thf(552,plain,
    ( ( ! [V_xa: $i,V_f1: $i,V_x: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) )
          | ( V_xa
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger ) ) )
    = $true ),
    inference(copy,[status(thm)],[480]) ).

thf(553,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_x: $i,V_f4: $i,V_g1: $i,V_g2: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[479]) ).

thf(554,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[478]) ).

thf(555,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[477]) ).

thf(556,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[476]) ).

thf(557,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[475]) ).

thf(558,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,V_g1: $i,V_g2: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[474]) ).

thf(559,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[473]) ).

thf(560,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[472]) ).

thf(561,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_x: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_g2: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_x @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_x @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[471]) ).

thf(562,plain,
    ( ( ! [V_f5: $i,V_xa: $i,V_g5: $i,T_a: $i,V_f1: $i,V_x: $i,V_f3: $i,V_f4: $i,V_g1: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xa @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xa = c_Type_Oty_ONT )
          | ( V_xa = c_Type_Oty_OInteger )
          | ( V_xa = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xa @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xa @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[470]) ).

thf(563,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[469]) ).

thf(564,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[468]) ).

thf(565,plain,
    ( ( ! [V_xb: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OBoolean )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[467]) ).

thf(566,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[466]) ).

thf(567,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[465]) ).

thf(568,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[464]) ).

thf(569,plain,
    ( ( ! [V_xb: $i,V_xa: $i,V_f2: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[463]) ).

thf(570,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[462]) ).

thf(571,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[461]) ).

thf(572,plain,
    ( ( ! [V_xb: $i,V_xa: $i,V_f2: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[460]) ).

thf(573,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[459]) ).

thf(574,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[458]) ).

thf(575,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[457]) ).

thf(576,plain,
    ( ( ! [V_xb: $i,V_f1: $i,V_xa: $i,V_x: $i,V_f4: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g4: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[456]) ).

thf(577,plain,
    ( ( ! [V_xb: $i,V_f1: $i,V_xa: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[455]) ).

thf(578,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[454]) ).

thf(579,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[453]) ).

thf(580,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[452]) ).

thf(581,plain,
    ( ( ! [V_xa: $i,V_x: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xb: $i,T_a: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xb @ T_a ) )
          | ( V_xb
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OInteger ) ) )
    = $true ),
    inference(copy,[status(thm)],[451]) ).

thf(582,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[450]) ).

thf(583,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[449]) ).

thf(584,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[448]) ).

thf(585,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_x: $i,V_g1: $i,V_g2: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[447]) ).

thf(586,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[446]) ).

thf(587,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_f2: $i,V_x: $i,V_f4: $i,V_g2: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[445]) ).

thf(588,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[444]) ).

thf(589,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[443]) ).

thf(590,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_f2: $i,V_f3: $i,V_x: $i,V_g2: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_f2 @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_g2 @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[442]) ).

thf(591,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[441]) ).

thf(592,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[440]) ).

thf(593,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xa: $i,V_x: $i,V_f4: $i,V_g1: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[439]) ).

thf(594,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[438]) ).

thf(595,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[437]) ).

thf(596,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xa: $i,V_f3: $i,V_x: $i,V_g1: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_OInteger )
          | ( V_xb = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[436]) ).

thf(597,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[435]) ).

thf(598,plain,
    ( ( ! [V_f5: $i,V_xb: $i,V_g5: $i,T_a: $i,V_xa: $i,V_x: $i,V_f3: $i,V_f4: $i,V_g3: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xb @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xb = c_Type_Oty_ONT )
          | ( V_xb = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_f3 @ V_f4 @ V_f5 @ V_xb @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xa @ V_x @ V_g3 @ V_g4 @ V_g5 @ V_xb @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[434]) ).

thf(599,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[433]) ).

thf(600,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[432]) ).

thf(601,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[431]) ).

thf(602,plain,
    ( ( ! [V_xc: $i,V_xb: $i,V_f2: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g2: $i,V_g5: $i] :
          ( ( V_xc = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[430]) ).

thf(603,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[429]) ).

thf(604,plain,
    ( ( ! [V_xc: $i,V_f1: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f5: $i,T_a: $i,V_g1: $i,V_g5: $i] :
          ( ( V_xc = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xb @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xb @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[428]) ).

thf(605,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[427]) ).

thf(606,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[426]) ).

thf(607,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[425]) ).

thf(608,plain,
    ( ( ! [V_xb: $i,V_xa: $i,V_x: $i,V_f4: $i,V_f5: $i,V_xc: $i,T_a: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[424]) ).

thf(609,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[423]) ).

thf(610,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[422]) ).

thf(611,plain,
    ( ( ! [V_xc: $i,V_xb: $i,V_xa: $i,V_f3: $i,V_x: $i,V_f5: $i,T_a: $i,V_g3: $i,V_g5: $i] :
          ( ( V_xc = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xc @ T_a ) )
          | ( V_xc
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[421]) ).

thf(612,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[420]) ).

thf(613,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_f2: $i,V_xa: $i,V_x: $i,V_g2: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_f2 @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_g2 @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[419]) ).

thf(614,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[418]) ).

thf(615,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ( V_x = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[417]) ).

thf(616,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[416]) ).

thf(617,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[415]) ).

thf(618,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_f1: $i,V_xb: $i,V_xa: $i,V_x: $i,V_g1: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ V_f1 @ V_xb @ V_xa @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_xb @ V_xa @ V_x @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[414]) ).

thf(619,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[413]) ).

thf(620,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[412]) ).

thf(621,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f4: $i,V_g4: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_ONT )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_f4 @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_x @ V_g4 @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[411]) ).

thf(622,plain,
    ( ( ! [V_f5: $i,V_xc: $i,V_g5: $i,T_a: $i,V_xb: $i,V_xa: $i,V_f3: $i,V_x: $i,V_g3: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xc @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_xc = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_f3 @ V_x @ V_f5 @ V_xc @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xb @ V_xa @ V_g3 @ V_x @ V_g5 @ V_xc @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[410]) ).

thf(623,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[409]) ).

thf(624,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ( V_x = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[408]) ).

thf(625,plain,
    ( ( ! [V_P: $i,V_C: $i,T_a: $i] : ( c_TypeRel_Owiden @ V_P @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ V_C ) @ T_a ) )
    = $true ),
    inference(copy,[status(thm)],[407]) ).

thf(626,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[406]) ).

thf(627,plain,
    ( ( ! [V_xc: $i,V_xb: $i,V_xa: $i,V_x: $i,V_f5: $i,V_xd: $i,T_a: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_f5 @ V_xd @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_g5 @ V_xd @ T_a ) )
          | ( V_xd
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[405]) ).

thf(628,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[404]) ).

thf(629,plain,
    ( ( c_TypeRel_Owiden @ v_P @ v_T_092_060_094isub_0622____ @ v_TF____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[403]) ).

thf(630,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[402]) ).

thf(631,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f4 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f2 ) )
          | ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[401]) ).

thf(632,plain,
    ( ( ! [V_f5: $i,V_xd: $i,V_g5: $i,T_a: $i,V_xc: $i,V_xb: $i,V_xa: $i,V_x: $i] :
          ( ( ( hAPP @ V_f5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) )
           != ( hAPP @ V_g5 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_xd @ V_f5 @ V_g5 @ T_a ) ) )
          | ( ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_f5 @ V_xd @ T_a )
            = ( c_Type_Oty_Oty__case @ V_xc @ V_xb @ V_xa @ V_x @ V_g5 @ V_xd @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[400]) ).

thf(633,plain,
    ( ( ! [V_P: $i,V_T: $i,T_a: $i] : ( c_TypeRel_Owiden @ V_P @ V_T @ V_T @ T_a ) )
    = $true ),
    inference(copy,[status(thm)],[399]) ).

thf(634,plain,
    ( ( ! [V_P: $i,V_S: $i,V_T: $i,T_a: $i,V_U: $i] :
          ( ( c_TypeRel_Owiden @ V_P @ V_S @ V_T @ T_a )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_U @ V_T @ T_a )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_S @ V_U @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[398]) ).

thf(635,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T: $i,V_C: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_T_092_060_094isub_0622 @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[397]) ).

thf(636,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T: $i,V_C: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_TypeRel_Owiden @ V_P @ V_T_092_060_094isub_0622 @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[396]) ).

thf(637,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i,V_g4: $i,V_g5: $i] :
          ( ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ T_a )
            = ( c_Type_Oty_Oty__case @ V_g1 @ V_g2 @ V_g3 @ V_g4 @ V_g5 @ V_x @ T_a ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ V_x @ V_f5 @ V_g5 @ T_a ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[395]) ).

thf(638,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[394]) ).

thf(639,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_x: $i] :
          ( ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ V_x @ t_a ) ) )
          | ( V_x
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ V_P @ V_f5 @ V_x ) ) )
          | ( V_x = c_Type_Oty_ONT )
          | ( V_x = c_Type_Oty_OInteger )
          | ( V_x = c_Type_Oty_OBoolean )
          | ( V_x = c_Type_Oty_OVoid ) ) )
    = $true ),
    inference(copy,[status(thm)],[393]) ).

thf(640,plain,
    ( ( c_TypeRel_Ohas__field @ v_P @ v_C____ @ v_F____ @ v_TF____ @ v_D____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[392]) ).

thf(641,plain,
    ( ( ! [V_Ea: $i,V_Ta: $i] :
          ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_Ha____ @ v_h_Ha____ ) @ V_Ta @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_ea____ @ V_Ta )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_Ea @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[391]) ).

thf(642,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[390]) ).

thf(643,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) @ V_T @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[389]) ).

thf(644,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      | ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[388]) ).

thf(645,plain,
    ( ( ! [V_T: $i] :
          ( ( V_T = c_Type_Oty_OInteger )
          | ( V_T = c_Type_Oty_OBoolean )
          | ( V_T = c_Type_Oty_OVoid )
          | ( c_Type_Ois__refT @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[387]) ).

thf(646,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
          ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[386]) ).

thf(647,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[385]) ).

thf(648,plain,
    ( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[384]) ).

thf(649,plain,
    ( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[383]) ).

thf(650,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[382]) ).

thf(651,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[381]) ).

thf(652,plain,
    ( ( c_Type_Ois__refT @ c_Type_Oty_ONT )
    = $true ),
    inference(copy,[status(thm)],[380]) ).

thf(653,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_ONT )
    = $true ),
    inference(copy,[status(thm)],[379]) ).

thf(654,plain,
    ( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[378]) ).

thf(655,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_ONT )
    = $true ),
    inference(copy,[status(thm)],[377]) ).

thf(656,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(657,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(658,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ T_a )
          = V_f2 ) )
    = $true ),
    inference(copy,[status(thm)],[374]) ).

thf(659,plain,
    ( ( ! [V_list: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[373]) ).

thf(660,plain,
    ( ( ! [V_T: $i,V_P: $i,V_E: $i,V_a: $i,V_F: $i,V_D: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OFAss @ V_a @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[372]) ).

thf(661,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_OBoolean )
    = $true ),
    inference(copy,[status(thm)],[371]) ).

thf(662,plain,
    ( ( ! [V_list: $i,T_a: $i,V_list_H: $i,V_exp_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OCast @ V_list_H @ V_exp_H @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[370]) ).

thf(663,plain,
    ( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[369]) ).

thf(664,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_OInteger )
    = $true ),
    inference(copy,[status(thm)],[368]) ).

thf(665,plain,
    ( ( ! [V_list: $i,T_a: $i,V_list_H: $i] :
          ( ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
           != ( c_Expr_Oexp_Onew @ V_list_H @ T_a ) )
          | ( V_list = V_list_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[367]) ).

thf(666,plain,
    ( ( ! [V_list: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[366]) ).

thf(667,plain,
    ( ( ! [V_h: $i] : ( c_Objects_Ohext @ V_h @ V_h ) )
    = $true ),
    inference(copy,[status(thm)],[365]) ).

thf(668,plain,
    ( ( ! [V_h: $i,V_h_H_H: $i,V_h_H: $i] :
          ( ( c_Objects_Ohext @ V_h @ V_h_H_H )
          | ~ ( c_Objects_Ohext @ V_h_H @ V_h_H_H )
          | ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[364]) ).

thf(669,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[363]) ).

thf(670,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ T_a )
          = V_f3 ) )
    = $true ),
    inference(copy,[status(thm)],[362]) ).

thf(671,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_ea____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____ )
    = $true ),
    inference(copy,[status(thm)],[361]) ).

thf(672,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OBoolean )
    = $true ),
    inference(copy,[status(thm)],[360]) ).

thf(673,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_F: $i,V_D: $i,V_v: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
          | ( V_T = c_Type_Oty_OVoid )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[359]) ).

thf(674,plain,
    ( ( ! [V_P: $i,T_a: $i] :
          ( ( c_COMBI @ V_P @ T_a )
          = V_P ) )
    = $true ),
    inference(copy,[status(thm)],[358]) ).

thf(675,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[357]) ).

thf(676,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[356]) ).

thf(677,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_OVoid )
    = $true ),
    inference(copy,[status(thm)],[355]) ).

thf(678,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i,V_e: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Type_Ois__refT @ V_T )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[354]) ).

thf(679,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_ONT )
    = $true ),
    inference(copy,[status(thm)],[353]) ).

thf(680,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[352]) ).

thf(681,plain,
    ( ( ! [V_list_H: $i,V_exp_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OCast @ V_list_H @ V_exp_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[351]) ).

thf(682,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ T_a )
          = V_f4 ) )
    = $true ),
    inference(copy,[status(thm)],[350]) ).

thf(683,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ T_a )
          = V_f3 ) )
    = $true ),
    inference(copy,[status(thm)],[349]) ).

thf(684,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i,V_e: $i,V_T: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Type_Ois__refT @ V_T )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[348]) ).

thf(685,plain,
    ( ( ! [V_f: $i,T_a: $i,T_b: $i] : ( c_Map_Omap__le @ V_f @ V_f @ T_a @ T_b ) )
    = $true ),
    inference(copy,[status(thm)],[347]) ).

thf(686,plain,
    ( ( ! [V_m1: $i,V_m3: $i,T_a: $i,T_b: $i,V_m2: $i] :
          ( ( c_Map_Omap__le @ V_m1 @ V_m3 @ T_a @ T_b )
          | ~ ( c_Map_Omap__le @ V_m2 @ V_m3 @ T_a @ T_b )
          | ~ ( c_Map_Omap__le @ V_m1 @ V_m2 @ T_a @ T_b ) ) )
    = $true ),
    inference(copy,[status(thm)],[346]) ).

thf(687,plain,
    ( ( ! [V_P: $i,V_E_H: $i,V_e: $i,V_T: $i,V_E: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E_H @ V_e @ V_T )
          | ~ ( c_Map_Omap__le @ V_E @ V_E_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[345]) ).

thf(688,plain,
    ( ( ! [V_P: $i,V_E: $i,V_C: $i] :
          ( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[344]) ).

thf(689,plain,
    ( ( ! [V_T: $i,V_D: $i,V_P: $i,V_E: $i,V_e: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_D ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[343]) ).

thf(690,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_OBoolean )
    = $true ),
    inference(copy,[status(thm)],[342]) ).

thf(691,plain,
    ( ( ! [V_P: $i,V_C: $i,V_h: $i,V_E: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[341]) ).

thf(692,plain,
    ( ( ! [V_P: $i,V_D: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[340]) ).

thf(693,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
         != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[339]) ).

thf(694,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[338]) ).

thf(695,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[337]) ).

thf(696,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[336]) ).

thf(697,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[335]) ).

thf(698,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[334]) ).

thf(699,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[333]) ).

thf(700,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[332]) ).

thf(701,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[331]) ).

thf(702,plain,
    ( ( v_T____ = c_Type_Oty_OVoid )
    = $true ),
    inference(copy,[status(thm)],[330]) ).

thf(703,plain,
    ( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[329]) ).

thf(704,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[328]) ).

thf(705,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[327]) ).

thf(706,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OVoid )
    = $true ),
    inference(copy,[status(thm)],[326]) ).

thf(707,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_OInteger )
    = $true ),
    inference(copy,[status(thm)],[325]) ).

thf(708,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_ONT @ T_a )
          = V_f4 ) )
    = $true ),
    inference(copy,[status(thm)],[324]) ).

thf(709,plain,
    ( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[323]) ).

thf(710,plain,
    ( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
          ( ( V_f = V_g )
          | ~ ( c_Map_Omap__le @ V_g @ V_f @ T_a @ T_b )
          | ~ ( c_Map_Omap__le @ V_f @ V_g @ T_a @ T_b ) ) )
    = $true ),
    inference(copy,[status(thm)],[322]) ).

thf(711,plain,
    ( ( ! [V_T: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_v: $i] :
          ( ( V_T = c_Type_Oty_OVoid )
          | ( V_T = c_Type_Oty_OVoid )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[321]) ).

thf(712,plain,
    ( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[320]) ).

thf(713,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OInteger @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ V_f3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[319]) ).

thf(714,plain,
    ( ( ! [V_T: $i,V_C: $i,V_P: $i,V_E: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[318]) ).

thf(715,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_OVoid )
    = $true ),
    inference(copy,[status(thm)],[317]) ).

thf(716,plain,
    ( ( ! [V_P: $i,V_C: $i,V_E: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[316]) ).

thf(717,plain,
    ( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[315]) ).

thf(718,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[314]) ).

thf(719,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
          ( ( c_Progress_OWTrt_H @ 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_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
    = $true ),
    inference(copy,[status(thm)],[313]) ).

thf(720,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ T_a )
          = V_f1 ) )
    = $true ),
    inference(copy,[status(thm)],[312]) ).

thf(721,plain,
    ( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[311]) ).

thf(722,plain,
    ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[310]) ).

thf(723,plain,
    ( ( ! [V_list: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_Onew @ V_list @ T_a )
         != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[309]) ).

thf(724,plain,
    ( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
          ( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
         != ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[308]) ).

thf(725,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i] :
          ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_Onew @ V_list @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[307]) ).

thf(726,plain,
    ( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[306]) ).

thf(727,plain,
    ( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i] :
          ( ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[305]) ).

thf(728,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OBoolean @ T_a )
          = V_f2 ) )
    = $true ),
    inference(copy,[status(thm)],[304]) ).

thf(729,plain,
    ( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
          ( ( c_WellType_OWT @ V_P @ 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_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
    = $true ),
    inference(copy,[status(thm)],[303]) ).

thf(730,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ c_Type_Oty_OVoid @ T_a )
          = V_f1 ) )
    = $true ),
    inference(copy,[status(thm)],[302]) ).

thf(731,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OInteger )
    = $true ),
    inference(copy,[status(thm)],[301]) ).

thf(732,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( 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 ) ) @ c_Type_Oty_OVoid )
          | ~ ( 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 @ c_Type_Oty_ONT ) ) )
    = $true ),
    inference(copy,[status(thm)],[300]) ).

thf(733,plain,
    ( ( ! [V_P: $i,V_D: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_Decl_Ois__class @ V_P @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[299]) ).

thf(734,plain,
    ( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
          ( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
         != ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[298]) ).

thf(735,plain,
    ( ( ! [V_T: $i,V_D: $i,V_P: $i,V_h: $i,V_E: $i,V_e: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_D ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCast @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[297]) ).

thf(736,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_OVoid
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[296]) ).

thf(737,plain,
    ( ( v_U____
      = ( c_Type_Oty_OClass @ v_C_H____ ) )
    = $true ),
    inference(copy,[status(thm)],[295]) ).

thf(738,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_ONT
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[294]) ).

thf(739,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_OInteger
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[293]) ).

thf(740,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_OBoolean ) )
    = $true ),
    inference(copy,[status(thm)],[292]) ).

thf(741,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ T_a )
          = ( hAPP @ V_f5 @ V_list ) ) )
    = $true ),
    inference(copy,[status(thm)],[291]) ).

thf(742,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
          ( ( 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 ) ) )
    = $true ),
    inference(copy,[status(thm)],[290]) ).

thf(743,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____ )
    = $true ),
    inference(copy,[status(thm)],[289]) ).

thf(744,plain,
    ( ( ! [V_Ea: $i,V_Ta: $i] :
          ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_Ea @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_Ha____ @ v_h_Ha____ ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_ea____ @ V_Ta )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_Ea @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[288]) ).

thf(745,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_C: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_Decl_Ois__class @ V_P @ V_C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[287]) ).

thf(746,plain,
    ( ( ! [V_T: $i,V_C: $i,V_P: $i,V_h: $i,V_E: $i] :
          ( ( V_T
            = ( c_Type_Oty_OClass @ V_C ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_Onew @ V_C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[286]) ).

thf(747,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_OVoid ) )
    = $true ),
    inference(copy,[status(thm)],[285]) ).

thf(748,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____ )
    = $true ),
    inference(copy,[status(thm)],[284]) ).

thf(749,plain,
    ( ( ! [V_list: $i,V_list_H: $i] :
          ( ( ( c_Type_Oty_OClass @ V_list )
           != ( c_Type_Oty_OClass @ V_list_H ) )
          | ( V_list = V_list_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[283]) ).

thf(750,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_ea____ @ ( c_Type_Oty_OClass @ v_C____ ) )
    = $true ),
    inference(copy,[status(thm)],[282]) ).

thf(751,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E_H: $i,V_e: $i,V_T: $i,V_E: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E_H @ V_e @ V_T )
          | ~ ( c_Map_Omap__le @ V_E @ V_E_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[281]) ).

thf(752,plain,
    ( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i,T_a: $i] :
          ( ( c_Type_Oty_Oty__rec @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ T_a )
          = ( hAPP @ V_f5 @ V_list ) ) )
    = $true ),
    inference(copy,[status(thm)],[280]) ).

thf(753,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_OInteger ) )
    = $true ),
    inference(copy,[status(thm)],[279]) ).

thf(754,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[278]) ).

thf(755,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[277]) ).

thf(756,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
          | ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[276]) ).

thf(757,plain,
    ( ( ! [V_list_H: $i] :
          ( c_Type_Oty_OBoolean
         != ( c_Type_Oty_OClass @ V_list_H ) ) )
    = $true ),
    inference(copy,[status(thm)],[275]) ).

thf(758,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      | ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) ) )
    = $true ),
    inference(copy,[status(thm)],[274]) ).

thf(759,plain,
    ( ( ! [V_list_H: $i] :
          ( ( c_Type_Oty_OClass @ V_list_H )
         != c_Type_Oty_ONT ) )
    = $true ),
    inference(copy,[status(thm)],[273]) ).

thf(760,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
          | ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[272]) ).

thf(761,plain,
    ( ( ! [V_P: $i,V_h_H: $i,V_E: $i,V_e: $i,V_T: $i,V_h: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h_H @ V_E @ V_e @ V_T )
          | ~ ( c_Objects_Ohext @ V_h @ V_h_H )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) )
    = $true ),
    inference(copy,[status(thm)],[271]) ).

thf(762,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_xa: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_xa ) @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ V_xa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[270]) ).

thf(763,plain,
    ( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_f4: $i,V_f5: $i,V_list: $i] :
          ( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Type_Oty_Oty__case @ V_f1 @ V_f2 @ V_f3 @ V_f4 @ V_f5 @ ( c_Type_Oty_OClass @ V_list ) @ t_a ) ) )
          | ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f5 @ V_list ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[269]) ).

thf(764,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____ )
    = $true ),
    inference(copy,[status(thm)],[268]) ).

thf(765,plain,
    ( ( ( c_COMBI @ v_P @ t_a )
      = v_P )
    = $true ),
    inference(copy,[status(thm)],[267]) ).

thf(766,plain,
    ( ( ! [V_E: $i,V_T: $i] :
          ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_Ha____ @ v_h_Ha____ ) )
          | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_ea____ @ V_T )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ V_E @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[266]) ).

thf(767,plain,
    ( ( ! [V_x: $i] : ( c_Type_Ois__refT @ ( c_Type_Oty_OClass @ V_x ) ) )
    = $true ),
    inference(copy,[status(thm)],[265]) ).

thf(768,plain,
    ( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_F: $i,V_D: $i,V_T: $i,V_C: $i] :
          ( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T )
          | ~ ( c_TypeRel_Ohas__field @ V_P @ V_C @ V_F @ V_T @ V_D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ ( c_Type_Oty_OClass @ V_C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[264]) ).

thf(769,plain,
    ( ( v_U____
      = ( c_Type_Oty_OClass @ v_C_H____ ) )
    = $true ),
    inference(copy,[status(thm)],[263]) ).

thf(770,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____ )
    = $true ),
    inference(copy,[status(thm)],[262]) ).

thf(771,plain,
    ( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
    = $true ),
    inference(copy,[status(thm)],[261]) ).

thf(772,plain,
    ( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
          ( ( V_X = V_Y )
          | ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
    = $true ),
    inference(copy,[status(thm)],[260]) ).

thf(773,plain,
    ( ( ~ $false ) = $true ),
    inference(copy,[status(thm)],[516]) ).

thf(774,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX8 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[621]) ).

thf(775,plain,
    ( ( ! [SX0: $i] :
          ( c_Type_Oty_OInteger
         != ( c_Type_Oty_OClass @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[739]) ).

thf(776,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
         != ( c_Expr_Oexp_OFAcc @ SX5 @ SX6 @ SX7 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[709]) ).

thf(777,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[679]) ).

thf(778,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( c_Expr_Oexp_Onew @ SX0 @ SX1 )
         != ( c_Expr_Oexp_OFAcc @ SX2 @ SX3 @ SX4 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[659]) ).

thf(779,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX8 @ SX9 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[598]) ).

thf(780,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( ( c_Expr_Oexp_OSeq @ SX0 @ SX1 @ SX2 )
           != ( c_Expr_Oexp_OSeq @ SX3 @ SX4 @ SX2 ) )
          | ( SX1 = SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[648]) ).

thf(781,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( c_Expr_Oexp_OSeq @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_OFAcc @ SX3 @ SX4 @ SX5 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[734]) ).

thf(782,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
         != ( c_Expr_Oexp_Onew @ SX5 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[663]) ).

thf(783,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( c_Expr_Oexp_OSeq @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_OCast @ SX3 @ SX4 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[646]) ).

thf(784,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX5 @ SX6 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[618]) ).

thf(785,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[632]) ).

thf(786,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_OBoolean )
    = $true ),
    inference(unfold_def,[status(thm)],[661]) ).

thf(787,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
           != ( c_Expr_Oexp_OFAss @ SX5 @ SX6 @ SX7 @ SX8 @ SX4 ) )
          | ( SX0 = SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[700]) ).

thf(788,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( c_Expr_Oexp_OCast @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_OFAss @ SX3 @ SX4 @ SX5 @ SX6 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[676]) ).

thf(789,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( ( c_Expr_Oexp_OCast @ SX0 @ SX1 @ SX2 )
           != ( c_Expr_Oexp_OCast @ SX3 @ SX4 @ SX2 ) )
          | ( SX1 = SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[656]) ).

thf(790,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OInteger )
    = $true ),
    inference(unfold_def,[status(thm)],[731]) ).

thf(791,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
           != ( c_Expr_Oexp_OFAcc @ SX4 @ SX5 @ SX6 @ SX3 ) )
          | ( SX2 = SX6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[694]) ).

thf(792,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( ( c_Pair @ SX0 @ SX1 @ SX2 @ SX3 )
           != ( c_Pair @ SX4 @ SX5 @ SX2 @ SX3 ) )
          | ( SX0 = SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[726]) ).

thf(793,plain,
    ( ( c_Type_Oty_OInteger != c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[677]) ).

thf(794,plain,
    ( ( ! [SX0: $i] :
          ( c_Type_Oty_OVoid
         != ( c_Type_Oty_OClass @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[736]) ).

thf(795,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i,SX11: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX9 @ SX10 @ SX11 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[538]) ).

thf(796,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ( c_Expr_Oexp_Onew @ SX0 @ SX1 )
         != ( c_Expr_Oexp_OSeq @ SX2 @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[723]) ).

thf(797,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( c_Expr_Oexp_OCast @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_OSeq @ SX3 @ SX4 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[724]) ).

thf(798,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( c_Expr_Oexp_OCast @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_OFAcc @ SX3 @ SX4 @ SX5 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[675]) ).

thf(799,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
         != ( c_Expr_Oexp_OSeq @ SX4 @ SX5 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[693]) ).

thf(800,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ( c_Expr_Oexp_OSeq @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_Onew @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[725]) ).

thf(801,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OBoolean )
    = $true ),
    inference(unfold_def,[status(thm)],[672]) ).

thf(802,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
         != ( c_Expr_Oexp_OCast @ SX5 @ SX6 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[712]) ).

thf(803,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( ( c_Expr_Oexp_Onew @ SX0 @ SX1 )
           != ( c_Expr_Oexp_Onew @ SX2 @ SX1 ) )
          | ( SX0 = SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[665]) ).

thf(804,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX8 @ SX9 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[590]) ).

thf(805,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
           != ( c_Expr_Oexp_OFAss @ SX5 @ SX6 @ SX7 @ SX8 @ SX4 ) )
          | ( SX1 = SX6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[699]) ).

thf(806,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[715]) ).

thf(807,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( c_Expr_Oexp_Onew @ SX0 @ SX1 )
         != ( c_Expr_Oexp_OFAss @ SX2 @ SX3 @ SX4 @ SX5 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[666]) ).

thf(808,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
           != ( c_Expr_Oexp_OFAcc @ SX4 @ SX5 @ SX6 @ SX3 ) )
          | ( SX1 = SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[695]) ).

thf(809,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
         != ( c_Expr_Oexp_OSeq @ SX5 @ SX6 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[703]) ).

thf(810,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
         != ( c_Expr_Oexp_OFAss @ SX4 @ SX5 @ SX6 @ SX7 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[721]) ).

thf(811,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX5 @ SX6 @ SX9 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[593]) ).

thf(812,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX8 @ SX6 @ SX9 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[587]) ).

thf(813,plain,
    ( ( ! [SX0: $i] :
          ( ( c_Type_Oty_OClass @ SX0 )
         != c_Type_Oty_OBoolean ) )
    = $true ),
    inference(unfold_def,[status(thm)],[740]) ).

thf(814,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_OInteger )
    = $true ),
    inference(unfold_def,[status(thm)],[664]) ).

thf(815,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
           != ( c_Expr_Oexp_OFAss @ SX5 @ SX6 @ SX7 @ SX8 @ SX4 ) )
          | ( SX3 = SX8 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[697]) ).

thf(816,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( c_Expr_Oexp_OFAss @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
           != ( c_Expr_Oexp_OFAss @ SX5 @ SX6 @ SX7 @ SX8 @ SX4 ) )
          | ( SX2 = SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[698]) ).

thf(817,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( ( c_Expr_Oexp_OCast @ SX0 @ SX1 @ SX2 )
           != ( c_Expr_Oexp_OCast @ SX3 @ SX4 @ SX2 ) )
          | ( SX0 = SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[657]) ).

thf(818,plain,
    ( ( ! [SX0: $i] :
          ( ( c_Type_Oty_OClass @ SX0 )
         != c_Type_Oty_OVoid ) )
    = $true ),
    inference(unfold_def,[status(thm)],[747]) ).

thf(819,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
           != ( c_Expr_Oexp_OFAcc @ SX4 @ SX5 @ SX6 @ SX3 ) )
          | ( SX0 = SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[696]) ).

thf(820,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[653]) ).

thf(821,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_ONT )
    = $true ),
    inference(unfold_def,[status(thm)],[655]) ).

thf(822,plain,
    ( ( c_Type_Oty_ONT != c_Type_Oty_OVoid )
    = $true ),
    inference(unfold_def,[status(thm)],[706]) ).

thf(823,plain,
    ( ( ! [SX0: $i] :
          ( ( c_Type_Oty_OClass @ SX0 )
         != c_Type_Oty_ONT ) )
    = $true ),
    inference(unfold_def,[status(thm)],[759]) ).

thf(824,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX8 @ SX9 @ SX10 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[561]) ).

thf(825,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      | ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[644]) ).

thf(826,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
         != ( c_Expr_Oexp_OCast @ SX4 @ SX5 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[717]) ).

thf(827,plain,
    ( ( ! [SX0: $i] :
          ( ( c_Type_Oty_OClass @ SX0 )
         != c_Type_Oty_OInteger ) )
    = $true ),
    inference(unfold_def,[status(thm)],[753]) ).

thf(828,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX8 @ SX6 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[613]) ).

thf(829,plain,
    ( ( ! [SX0: $i] :
          ( c_Type_Oty_OBoolean
         != ( c_Type_Oty_OClass @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[757]) ).

thf(830,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX9 @ SX6 @ SX10 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[553]) ).

thf(831,plain,
    ( ( c_Type_Oty_OVoid != c_Type_Oty_OBoolean )
    = $true ),
    inference(unfold_def,[status(thm)],[690]) ).

thf(832,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( c_Type_Oty_OClass @ SX0 )
           != ( c_Type_Oty_OClass @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[749]) ).

thf(833,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ( c_Expr_Oexp_Onew @ SX0 @ SX1 )
         != ( c_Expr_Oexp_OCast @ SX2 @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[662]) ).

thf(834,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ( ( c_Expr_Oexp_OSeq @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_OFAss @ SX3 @ SX4 @ SX5 @ SX6 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[647]) ).

thf(835,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( ( c_Expr_Oexp_OSeq @ SX0 @ SX1 @ SX2 )
           != ( c_Expr_Oexp_OSeq @ SX3 @ SX4 @ SX2 ) )
          | ( SX0 = SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[649]) ).

thf(836,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX9 @ SX10 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[558]) ).

thf(837,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ( c_Expr_Oexp_OCast @ SX0 @ SX1 @ SX2 )
         != ( c_Expr_Oexp_Onew @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[681]) ).

thf(838,plain,
    ( ( ! [SX0: $i] :
          ( c_Type_Oty_ONT
         != ( c_Type_Oty_OClass @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[738]) ).

thf(839,plain,
    ( ( c_Type_Oty_OBoolean != c_Type_Oty_OInteger )
    = $true ),
    inference(unfold_def,[status(thm)],[707]) ).

thf(840,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ( ( c_Pair @ SX0 @ SX1 @ SX2 @ SX3 )
           != ( c_Pair @ SX4 @ SX5 @ SX2 @ SX3 ) )
          | ( SX1 = SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[727]) ).

thf(841,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX5 @ SX9 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[596]) ).

thf(842,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_ONT )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX5 @ SX9 @ SX10 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[562]) ).

thf(843,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      | ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[758]) ).

thf(844,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX8 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[622]) ).

thf(845,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i] :
          ( ( ( hAPP @ SX0 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
           != ( hAPP @ SX2 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
          | ( SX1 = c_Type_Oty_OBoolean )
          | ( SX1 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX3 )
            = ( c_Type_Oty_Oty__case @ SX8 @ SX9 @ SX6 @ SX7 @ SX2 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[585]) ).

thf(846,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ( c_Expr_Oexp_OFAcc @ SX0 @ SX1 @ SX2 @ SX3 )
         != ( c_Expr_Oexp_Onew @ SX4 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[654]) ).

thf(847,plain,
    ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ ( c_Type_Oty_OClass @ v_C_H____ ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[517]) ).

thf(848,plain,
    ! [SV1: $i] :
      ( ( ! [SY1448: $i,SY1449: $i,SY1450: $i,SY1451: $i,SY1452: $i,SY1453: $i,SY1454: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SY1448 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY1449 @ SY1450 @ SY1451 @ SY1448 @ SY1452 @ SY1453 @ SY1454 ) @ SY1451 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SY1449 @ SY1450 @ SY1451 @ SY1448 @ SY1452 @ SY1453 @ SY1454 ) @ SY1449 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SY1448 @ SY1453 @ SY1450 @ ( c_Expr_Oexp_OFAss @ SY1452 @ SY1451 @ SY1449 @ SY1454 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[518]) ).

thf(849,plain,
    ! [SV2: $i] :
      ( ( ! [SY1455: $i,SY1456: $i,SY1457: $i,SY1458: $i,SY1459: $i,SY1460: $i,SY1461: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SY1455 @ SY1456 @ SY1457 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY1458 @ SY1456 @ SY1459 @ SV2 @ SY1457 @ SY1455 @ SY1460 ) @ SY1459 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SY1458 @ SY1456 @ SY1459 @ SV2 @ SY1457 @ SY1455 @ SY1460 ) @ SY1458 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SY1455 @ SY1456 @ ( c_Expr_Oexp_OFAss @ SY1457 @ SY1459 @ SY1458 @ SY1460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1461 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[519]) ).

thf(850,plain,
    ! [SV3: $i] :
      ( ( ! [SY1462: $i,SY1463: $i,SY1464: $i,SY1465: $i,SY1466: $i] :
            ( ( c_WellType_OWT @ SV3 @ SY1462 @ SY1463 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SY1464 @ SY1462 @ SY1465 @ SV3 @ SY1466 @ SY1463 ) ) )
            | ~ ( c_WellType_OWT @ SV3 @ SY1462 @ ( c_Expr_Oexp_OFAcc @ SY1463 @ SY1465 @ SY1464 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1466 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(851,plain,
    ! [SV4: $i] :
      ( ( ( SV4
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ SV4 ) ) )
        | ( SV4 = c_Type_Oty_ONT )
        | ( SV4 = c_Type_Oty_OInteger )
        | ( SV4 = c_Type_Oty_OBoolean )
        | ( SV4 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(852,plain,
    ! [SV5: $i] :
      ( ( ! [SY1467: $i] :
            ( ( hBOOL @ ( hAPP @ SV5 @ SY1467 ) )
            | ~ ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
            | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
            | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
            | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[522]) ).

thf(853,plain,
    ! [SV6: $i] :
      ( ( ( SV6
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ SV6 ) ) )
        | ( SV6 = c_Type_Oty_ONT )
        | ( SV6 = c_Type_Oty_OInteger )
        | ( SV6 = c_Type_Oty_OBoolean )
        | ( SV6 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[523]) ).

thf(854,plain,
    ! [SV7: $i] :
      ( ( ! [SY1468: $i] :
            ( ( hBOOL @ ( hAPP @ SV7 @ SY1468 ) )
            | ~ ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
            | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
            | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
            | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[524]) ).

thf(855,plain,
    ! [SV8: $i] :
      ( ( ! [SY1469: $i,SY1470: $i,SY1471: $i,SY1472: $i,SY1473: $i,SY1474: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV8 @ SY1469 @ SY1470 @ SY1471 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY1472 @ SY1470 @ SY1473 @ SV8 @ SY1474 @ SY1471 @ SY1469 ) @ SY1473 @ SY1474 @ SY1472 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SY1469 @ SY1470 @ ( c_Expr_Oexp_OFAcc @ SY1471 @ SY1473 @ SY1472 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1474 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(856,plain,
    ! [SV9: $i] :
      ( ( ! [SY1475: $i,SY1476: $i,SY1477: $i,SY1478: $i,SY1479: $i,SY1480: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV9 @ SY1475 @ SY1476 @ SY1477 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV9 @ SY1475 @ SY1476 @ SY1477 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY1478 @ SY1476 @ SY1479 @ SV9 @ SY1480 @ SY1477 @ SY1475 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SY1475 @ SY1476 @ ( c_Expr_Oexp_OFAcc @ SY1477 @ SY1479 @ SY1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1480 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(857,plain,
    ! [SV10: $i] :
      ( ( ! [SY1481: $i,SY1482: $i,SY1483: $i,SY1484: $i,SY1485: $i,SY1486: $i,SY1487: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SY1481 @ SY1482 @ SY1483 @ SY1484 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY1485 @ SY1483 @ SY1486 @ SY1481 @ SY1484 @ SY1482 @ SY1487 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SY1481 @ SY1482 @ SY1483 @ ( c_Expr_Oexp_OFAss @ SY1484 @ SY1486 @ SY1485 @ SY1487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(858,plain,
    ! [SV11: $i] :
      ( ( ! [SY1488: $i,SY1489: $i,SY1490: $i,SY1491: $i,SY1492: $i,SY1493: $i,SY1494: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SY1488 @ SY1489 @ SY1490 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SY1488 @ SY1489 @ SY1490 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY1491 @ SY1489 @ SY1492 @ SV11 @ SY1490 @ SY1488 @ SY1493 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SY1488 @ SY1489 @ ( c_Expr_Oexp_OFAss @ SY1490 @ SY1492 @ SY1491 @ SY1493 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1494 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[528]) ).

thf(859,plain,
    ! [SV12: $i] :
      ( ( ! [SY1495: $i,SY1496: $i,SY1497: $i,SY1498: $i,SY1499: $i,SY1500: $i] :
            ( ( c_WellType_OWT @ SV12 @ SY1495 @ ( c_Expr_Oexp_OFAcc @ SY1496 @ SY1497 @ SY1498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1499 )
            | ~ ( c_TypeRel_Osees__field @ SV12 @ SY1500 @ SY1497 @ SY1499 @ SY1498 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV12 @ SY1495 @ SY1496 @ ( c_Type_Oty_OClass @ SY1500 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(860,plain,
    ! [SV13: $i] :
      ( ( ! [SY1501: $i,SY1502: $i,SY1503: $i,SY1504: $i,SY1505: $i] :
            ( ( c_TypeRel_Osees__field @ SV13 @ SY1501 @ SY1502 @ SY1503 @ SY1501 @ SY1504 )
            | ~ ( c_TypeRel_Osees__field @ SV13 @ SY1505 @ SY1502 @ SY1503 @ SY1501 @ SY1504 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(861,plain,
    ! [SV14: $i] :
      ( ( ! [SY1506: $i,SY1507: $i,SY1508: $i,SY1509: $i,SY1510: $i] :
            ( ( c_TypeRel_Ohas__field @ SV14 @ SY1506 @ SY1507 @ SY1508 @ SY1509 @ SY1510 )
            | ~ ( c_TypeRel_Osees__field @ SV14 @ SY1506 @ SY1507 @ SY1508 @ SY1509 @ SY1510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(862,plain,
    ! [SV15: $i] :
      ( ( ! [SY1511: $i,SY1512: $i,SY1513: $i,SY1514: $i,SY1515: $i] :
            ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SY1511 @ SY1512 @ SY1513 @ SV15 @ SY1514 @ SY1515 ) @ SY1513 @ SY1514 @ SY1511 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV15 @ SY1512 @ ( c_Expr_Oexp_OFAcc @ SY1515 @ SY1513 @ SY1511 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY1514 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[532]) ).

thf(863,plain,
    ! [SV16: $i] :
      ( ( ! [SY1516: $i,SY1517: $i,SY1518: $i,SY1519: $i,SY1520: $i,SY1521: $i,SY1522: $i] :
            ( ( SV16 = SY1516 )
            | ~ ( c_TypeRel_Osees__field @ SY1517 @ SY1518 @ SY1519 @ SV16 @ SY1520 @ SY1521 )
            | ~ ( c_TypeRel_Osees__field @ SY1517 @ SY1518 @ SY1519 @ SY1516 @ SY1522 @ SY1521 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(864,plain,
    ! [SV17: $i] :
      ( ( ! [SY1523: $i,SY1524: $i,SY1525: $i,SY1526: $i,SY1527: $i,SY1528: $i,SY1529: $i] :
            ( ( SV17 = SY1523 )
            | ~ ( c_TypeRel_Osees__field @ SY1524 @ SY1525 @ SY1526 @ SY1527 @ SV17 @ SY1528 )
            | ~ ( c_TypeRel_Osees__field @ SY1524 @ SY1525 @ SY1526 @ SY1529 @ SY1523 @ SY1528 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[534]) ).

thf(865,plain,
    ! [SV18: $i] :
      ( ( ! [SY1530: $i] :
            ( ( hBOOL @ ( hAPP @ SV18 @ SY1530 ) )
            | ~ ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
            | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
            | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
            | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(866,plain,
    ! [SV19: $i] :
      ( ( ! [SY1531: $i,SY1532: $i,SY1533: $i,SY1534: $i,SY1535: $i,SY1536: $i,SY1537: $i,SY1538: $i] :
            ( ( c_WellType_OWT @ SV19 @ SY1531 @ ( c_Expr_Oexp_OFAss @ SY1532 @ SY1533 @ SY1534 @ SY1535 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SY1536 @ SY1537 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SY1531 @ SY1535 @ SY1536 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY1538 @ SY1533 @ SY1537 @ SY1534 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SY1531 @ SY1532 @ ( c_Type_Oty_OClass @ SY1538 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[536]) ).

thf(867,plain,
    ! [SV20: $i] :
      ( ( ! [SY1539: $i,SY1540: $i,SY1541: $i,SY1542: $i,SY1543: $i,SY1544: $i] :
            ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SY1539 @ SY1540 @ SY1541 @ SY1542 @ SY1543 @ SY1544 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY1543 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SY1543 @ SY1544 ) ) ) )
            | ( SY1544 = c_Type_Oty_ONT )
            | ( SY1544 = c_Type_Oty_OInteger )
            | ( SY1544 = c_Type_Oty_OBoolean )
            | ( SY1544 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(868,plain,
    ! [SV21: $i] :
      ( ( ! [SY1545: $i,SY1546: $i,SY1547: $i,SY1548: $i,SY1549: $i,SY1550: $i] :
            ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SY1545 @ SY1546 @ SY1547 @ SY1548 @ SY1549 @ SY1550 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SY1549 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SY1549 @ SY1550 ) ) ) )
            | ( SY1550 = c_Type_Oty_ONT )
            | ( SY1550 = c_Type_Oty_OInteger )
            | ( SY1550 = c_Type_Oty_OBoolean )
            | ( SY1550 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[540]) ).

thf(869,plain,
    ! [SV22: $i] :
      ( ( ! [SY1551: $i,SY1552: $i,SY1553: $i,SY1554: $i,SY1555: $i,SY1556: $i] :
            ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SY1551 @ SY1552 @ SY1553 @ SY1554 @ SY1555 @ SY1556 @ t_a ) ) )
            | ( SY1556
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SY1555 @ SY1556 ) ) )
            | ( SY1556 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV22 @ SY1553 ) )
            | ( SY1556 = c_Type_Oty_OBoolean )
            | ( SY1556 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(870,plain,
    ! [SV23: $i] :
      ( ( ! [SY1557: $i,SY1558: $i,SY1559: $i,SY1560: $i,SY1561: $i,SY1562: $i] :
            ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SY1557 @ SY1558 @ SY1559 @ SY1560 @ SY1561 @ SY1562 @ t_a ) ) )
            | ( SY1562
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SY1561 @ SY1562 ) ) )
            | ( SY1562 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV23 @ SY1559 ) )
            | ( SY1562 = c_Type_Oty_OBoolean )
            | ( SY1562 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[542]) ).

thf(871,plain,
    ! [SV24: $i] :
      ( ( ! [SY1563: $i,SY1564: $i,SY1565: $i,SY1566: $i,SY1567: $i,SY1568: $i,SY1569: $i,SY1570: $i,SY1571: $i,SY1572: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1563 @ SY1564 @ SY1565 @ SY1566 @ SY1567 @ SV24 @ SY1568 )
              = ( c_Type_Oty_Oty__case @ SY1569 @ SY1570 @ SY1565 @ SY1571 @ SY1572 @ SV24 @ SY1568 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SY1567 @ SY1572 @ SY1568 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(872,plain,
    ! [SV25: $i] :
      ( ( ! [SY1573: $i,SY1574: $i,SY1575: $i,SY1576: $i,SY1577: $i,SY1578: $i,SY1579: $i,SY1580: $i,SY1581: $i,SY1582: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1573 @ SY1574 @ SY1575 @ SY1576 @ SY1577 @ SV25 @ SY1578 )
              = ( c_Type_Oty_Oty__case @ SY1579 @ SY1580 @ SY1581 @ SY1576 @ SY1582 @ SV25 @ SY1578 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SY1577 @ SY1582 @ SY1578 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(873,plain,
    ! [SV26: $i] :
      ( ( ! [SY1583: $i,SY1584: $i,SY1585: $i,SY1586: $i,SY1587: $i,SY1588: $i] :
            ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SY1583 @ SY1584 @ SY1585 @ SY1586 @ SY1587 @ SY1588 @ t_a ) ) )
            | ( SY1588
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SY1587 @ SY1588 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV26 @ SY1586 ) )
            | ( SY1588 = c_Type_Oty_OInteger )
            | ( SY1588 = c_Type_Oty_OBoolean )
            | ( SY1588 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[545]) ).

thf(874,plain,
    ! [SV27: $i] :
      ( ( ! [SY1589: $i,SY1590: $i,SY1591: $i,SY1592: $i,SY1593: $i,SY1594: $i] :
            ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SY1589 @ SY1590 @ SY1591 @ SY1592 @ SY1593 @ SY1594 @ t_a ) ) )
            | ( SY1594
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SY1593 @ SY1594 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV27 @ SY1592 ) )
            | ( SY1594 = c_Type_Oty_OInteger )
            | ( SY1594 = c_Type_Oty_OBoolean )
            | ( SY1594 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(875,plain,
    ! [SV28: $i] :
      ( ( ! [SY1595: $i,SY1596: $i,SY1597: $i,SY1598: $i,SY1599: $i,SY1600: $i] :
            ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SY1595 @ SY1596 @ SY1597 @ SY1598 @ SY1599 @ SY1600 @ t_a ) ) )
            | ( SY1600
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SY1599 @ SY1600 ) ) )
            | ( SY1600 = c_Type_Oty_ONT )
            | ( SY1600 = c_Type_Oty_OInteger )
            | ( SY1600 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV28 @ SY1595 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[547]) ).

thf(876,plain,
    ! [SV29: $i] :
      ( ( ! [SY1601: $i,SY1602: $i,SY1603: $i,SY1604: $i,SY1605: $i,SY1606: $i,SY1607: $i,SY1608: $i,SY1609: $i,SY1610: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SY1601 @ SY1602 @ SY1603 @ SY1604 @ SY1605 @ SY1606 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY1607 @ SY1608 @ SY1609 @ SY1610 @ SY1605 @ SY1606 ) )
            | ( SY1605
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY1605 @ SY1604 @ SY1610 @ SY1606 ) ) )
            | ( SY1605 = c_Type_Oty_ONT )
            | ( SY1605 = c_Type_Oty_OInteger )
            | ( SY1605 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(877,plain,
    ! [SV30: $i] :
      ( ( ! [SY1611: $i,SY1612: $i,SY1613: $i,SY1614: $i,SY1615: $i,SY1616: $i] :
            ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SY1611 @ SY1612 @ SY1613 @ SY1614 @ SY1615 @ SY1616 @ t_a ) ) )
            | ( SY1616
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SY1615 @ SY1616 ) ) )
            | ( SY1616 = c_Type_Oty_ONT )
            | ( SY1616 = c_Type_Oty_OInteger )
            | ( SY1616 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV30 @ SY1611 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(878,plain,
    ! [SV31: $i] :
      ( ( ! [SY1617: $i,SY1618: $i,SY1619: $i,SY1620: $i,SY1621: $i,SY1622: $i] :
            ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SY1617 @ SY1618 @ SY1619 @ SY1620 @ SY1621 @ SY1622 @ t_a ) ) )
            | ( SY1622
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SY1621 @ SY1622 ) ) )
            | ( SY1622 = c_Type_Oty_ONT )
            | ( SY1622 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV31 @ SY1618 ) )
            | ( SY1622 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[550]) ).

thf(879,plain,
    ! [SV32: $i] :
      ( ( ! [SY1623: $i,SY1624: $i,SY1625: $i,SY1626: $i,SY1627: $i,SY1628: $i] :
            ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SY1623 @ SY1624 @ SY1625 @ SY1626 @ SY1627 @ SY1628 @ t_a ) ) )
            | ( SY1628
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SY1627 @ SY1628 ) ) )
            | ( SY1628 = c_Type_Oty_ONT )
            | ( SY1628 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV32 @ SY1624 ) )
            | ( SY1628 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(880,plain,
    ! [SV33: $i] :
      ( ( ! [SY1629: $i,SY1630: $i,SY1631: $i,SY1632: $i,SY1633: $i,SY1634: $i,SY1635: $i,SY1636: $i,SY1637: $i,SY1638: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1629 @ SY1630 @ SY1631 @ SY1632 @ SY1633 @ SV33 @ SY1634 )
              = ( c_Type_Oty_Oty__case @ SY1635 @ SY1630 @ SY1636 @ SY1637 @ SY1638 @ SV33 @ SY1634 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SY1633 @ SY1638 @ SY1634 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(881,plain,
    ! [SV34: $i] :
      ( ( ! [SY1639: $i,SY1640: $i,SY1641: $i,SY1642: $i,SY1643: $i,SY1644: $i] :
            ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ SY1643 @ SY1644 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY1643 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SY1643 @ SY1644 ) ) ) )
            | ( SY1644 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ SY1641 ) )
            | ( SY1644 = c_Type_Oty_OBoolean )
            | ( SY1644 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(882,plain,
    ! [SV35: $i] :
      ( ( ! [SY1645: $i,SY1646: $i,SY1647: $i,SY1648: $i,SY1649: $i,SY1650: $i] :
            ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SY1645 @ SY1646 @ SY1647 @ SY1648 @ SY1649 @ SY1650 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SY1649 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SY1649 @ SY1650 ) ) ) )
            | ( SY1650 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ SY1647 ) )
            | ( SY1650 = c_Type_Oty_OBoolean )
            | ( SY1650 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(883,plain,
    ! [SV36: $i] :
      ( ( ! [SY1651: $i,SY1652: $i,SY1653: $i,SY1654: $i,SY1655: $i,SY1656: $i] :
            ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SY1651 @ SY1652 @ SY1653 @ SY1654 @ SY1655 @ SY1656 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SY1655 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SY1655 @ SY1656 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ SY1654 ) )
            | ( SY1656 = c_Type_Oty_OInteger )
            | ( SY1656 = c_Type_Oty_OBoolean )
            | ( SY1656 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[556]) ).

thf(884,plain,
    ! [SV37: $i] :
      ( ( ! [SY1657: $i,SY1658: $i,SY1659: $i,SY1660: $i,SY1661: $i,SY1662: $i] :
            ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SY1657 @ SY1658 @ SY1659 @ SY1660 @ SY1661 @ SY1662 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SY1661 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SY1661 @ SY1662 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ SY1660 ) )
            | ( SY1662 = c_Type_Oty_OInteger )
            | ( SY1662 = c_Type_Oty_OBoolean )
            | ( SY1662 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(885,plain,
    ! [SV38: $i] :
      ( ( ! [SY1663: $i,SY1664: $i,SY1665: $i,SY1666: $i,SY1667: $i,SY1668: $i] :
            ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SY1663 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1668 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SY1667 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SY1667 @ SY1668 ) ) ) )
            | ( SY1668 = c_Type_Oty_ONT )
            | ( SY1668 = c_Type_Oty_OInteger )
            | ( SY1668 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ SY1663 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(886,plain,
    ! [SV39: $i] :
      ( ( ! [SY1669: $i,SY1670: $i,SY1671: $i,SY1672: $i,SY1673: $i,SY1674: $i] :
            ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SY1669 @ SY1670 @ SY1671 @ SY1672 @ SY1673 @ SY1674 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SY1673 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SY1673 @ SY1674 ) ) ) )
            | ( SY1674 = c_Type_Oty_ONT )
            | ( SY1674 = c_Type_Oty_OInteger )
            | ( SY1674 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ SY1669 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(887,plain,
    ! [SV40: $i] :
      ( ( ! [SY1675: $i,SY1676: $i,SY1677: $i,SY1678: $i,SY1679: $i,SY1680: $i] :
            ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SY1675 @ SY1676 @ SY1677 @ SY1678 @ SY1679 @ SY1680 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SY1679 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SY1679 @ SY1680 ) ) ) )
            | ( SY1680 = c_Type_Oty_ONT )
            | ( SY1680 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ SY1676 ) )
            | ( SY1680 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[563]) ).

thf(888,plain,
    ! [SV41: $i] :
      ( ( ! [SY1681: $i,SY1682: $i,SY1683: $i,SY1684: $i,SY1685: $i,SY1686: $i] :
            ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SY1681 @ SY1682 @ SY1683 @ SY1684 @ SY1685 @ SY1686 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SY1685 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SY1685 @ SY1686 ) ) ) )
            | ( SY1686 = c_Type_Oty_ONT )
            | ( SY1686 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ SY1682 ) )
            | ( SY1686 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(889,plain,
    ! [SV42: $i] :
      ( ( ! [SY1687: $i,SY1688: $i,SY1689: $i,SY1690: $i,SY1691: $i,SY1692: $i,SY1693: $i,SY1694: $i,SY1695: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1687 @ SY1688 @ SY1689 @ SY1690 @ SY1691 @ SV42 @ SY1692 )
              = ( c_Type_Oty_Oty__case @ SY1693 @ SY1694 @ SY1689 @ SY1690 @ SY1695 @ SV42 @ SY1692 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SY1691 @ SY1695 @ SY1692 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[565]) ).

thf(890,plain,
    ! [SV43: $i] :
      ( ( ! [SY1696: $i,SY1697: $i,SY1698: $i,SY1699: $i,SY1700: $i,SY1701: $i] :
            ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SY1696 @ SY1697 @ SY1698 @ SY1699 @ SY1700 @ SY1701 @ t_a ) ) )
            | ( SY1701
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SY1700 @ SY1701 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY1699 ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY1698 ) )
            | ( SY1701 = c_Type_Oty_OBoolean )
            | ( SY1701 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[566]) ).

thf(891,plain,
    ! [SV44: $i] :
      ( ( ! [SY1702: $i,SY1703: $i,SY1704: $i,SY1705: $i,SY1706: $i,SY1707: $i] :
            ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SY1702 @ SY1703 @ SY1704 @ SY1705 @ SY1706 @ SY1707 @ t_a ) ) )
            | ( SY1707
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SY1706 @ SY1707 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY1705 ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY1704 ) )
            | ( SY1707 = c_Type_Oty_OBoolean )
            | ( SY1707 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[567]) ).

thf(892,plain,
    ! [SV45: $i] :
      ( ( ! [SY1708: $i,SY1709: $i,SY1710: $i,SY1711: $i,SY1712: $i,SY1713: $i] :
            ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SY1708 @ SY1709 @ SY1710 @ SY1711 @ SY1712 @ SY1713 @ t_a ) ) )
            | ( SY1713
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SY1712 @ SY1713 ) ) )
            | ( SY1713 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SY1710 ) )
            | ( SY1713 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SY1708 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(893,plain,
    ! [SV46: $i] :
      ( ( ! [SY1714: $i,SY1715: $i,SY1716: $i,SY1717: $i,SY1718: $i,SY1719: $i,SY1720: $i,SY1721: $i,SY1722: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY1714 @ SY1715 @ SY1716 @ SY1717 @ SY1718 @ SV46 @ SY1719 )
              = ( c_Type_Oty_Oty__case @ SY1714 @ SY1720 @ SY1716 @ SY1721 @ SY1722 @ SV46 @ SY1719 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SY1718 @ SY1722 @ SY1719 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(894,plain,
    ! [SV47: $i] :
      ( ( ! [SY1723: $i,SY1724: $i,SY1725: $i,SY1726: $i,SY1727: $i,SY1728: $i] :
            ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SY1723 @ SY1724 @ SY1725 @ SY1726 @ SY1727 @ SY1728 @ t_a ) ) )
            | ( SY1728
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SY1727 @ SY1728 ) ) )
            | ( SY1728 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SY1725 ) )
            | ( SY1728 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SY1723 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(895,plain,
    ! [SV48: $i] :
      ( ( ! [SY1729: $i,SY1730: $i,SY1731: $i,SY1732: $i,SY1733: $i,SY1734: $i] :
            ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SY1729 @ SY1730 @ SY1731 @ SY1732 @ SY1733 @ SY1734 @ t_a ) ) )
            | ( SY1734
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SY1733 @ SY1734 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SY1732 ) )
            | ( SY1734 = c_Type_Oty_OInteger )
            | ( SY1734 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SY1729 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[571]) ).

thf(896,plain,
    ! [SV49: $i] :
      ( ( ! [SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i,SY1739: $i,SY1740: $i,SY1741: $i,SY1742: $i,SY1743: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY1735 @ SY1736 @ SY1737 @ SY1738 @ SY1739 @ SV49 @ SY1740 )
              = ( c_Type_Oty_Oty__case @ SY1735 @ SY1741 @ SY1742 @ SY1738 @ SY1743 @ SV49 @ SY1740 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SY1739 @ SY1743 @ SY1740 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(897,plain,
    ! [SV50: $i] :
      ( ( ! [SY1744: $i,SY1745: $i,SY1746: $i,SY1747: $i,SY1748: $i,SY1749: $i] :
            ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SY1744 @ SY1745 @ SY1746 @ SY1747 @ SY1748 @ SY1749 @ t_a ) ) )
            | ( SY1749
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SY1748 @ SY1749 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SY1747 ) )
            | ( SY1749 = c_Type_Oty_OInteger )
            | ( SY1749 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SY1744 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(898,plain,
    ! [SV51: $i] :
      ( ( ! [SY1750: $i,SY1751: $i,SY1752: $i,SY1753: $i,SY1754: $i,SY1755: $i] :
            ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SY1750 @ SY1751 @ SY1752 @ SY1753 @ SY1754 @ SY1755 @ t_a ) ) )
            | ( SY1755
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SY1754 @ SY1755 ) ) )
            | ( SY1755 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SY1752 ) )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SY1751 ) )
            | ( SY1755 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[574]) ).

thf(899,plain,
    ! [SV52: $i] :
      ( ( ! [SY1756: $i,SY1757: $i,SY1758: $i,SY1759: $i,SY1760: $i,SY1761: $i] :
            ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SY1756 @ SY1757 @ SY1758 @ SY1759 @ SY1760 @ SY1761 @ t_a ) ) )
            | ( SY1761
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SY1760 @ SY1761 ) ) )
            | ( SY1761 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SY1758 ) )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SY1757 ) )
            | ( SY1761 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[575]) ).

thf(900,plain,
    ! [SV53: $i] :
      ( ( ! [SY1762: $i,SY1763: $i,SY1764: $i,SY1765: $i,SY1766: $i,SY1767: $i,SY1768: $i,SY1769: $i,SY1770: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1762 @ SY1763 @ SY1764 @ SY1765 @ SY1766 @ SV53 @ SY1767 )
              = ( c_Type_Oty_Oty__case @ SY1768 @ SY1763 @ SY1764 @ SY1769 @ SY1770 @ SV53 @ SY1767 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SY1766 @ SY1770 @ SY1767 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[576]) ).

thf(901,plain,
    ! [SV54: $i] :
      ( ( ! [SY1771: $i,SY1772: $i,SY1773: $i,SY1774: $i,SY1775: $i,SY1776: $i,SY1777: $i,SY1778: $i,SY1779: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1771 @ SY1772 @ SY1773 @ SY1774 @ SY1775 @ SV54 @ SY1776 )
              = ( c_Type_Oty_Oty__case @ SY1777 @ SY1772 @ SY1778 @ SY1774 @ SY1779 @ SV54 @ SY1776 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SY1775 @ SY1779 @ SY1776 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[577]) ).

thf(902,plain,
    ! [SV55: $i] :
      ( ( ! [SY1780: $i,SY1781: $i,SY1782: $i,SY1783: $i,SY1784: $i,SY1785: $i] :
            ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SY1780 @ SY1781 @ SY1782 @ SY1783 @ SY1784 @ SY1785 @ t_a ) ) )
            | ( SY1785
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SY1784 @ SY1785 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SY1783 ) )
            | ( SY1785 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SY1781 ) )
            | ( SY1785 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[578]) ).

thf(903,plain,
    ! [SV56: $i] :
      ( ( ! [SY1786: $i,SY1787: $i,SY1788: $i,SY1789: $i,SY1790: $i,SY1791: $i] :
            ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SY1786 @ SY1787 @ SY1788 @ SY1789 @ SY1790 @ SY1791 @ t_a ) ) )
            | ( SY1791
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SY1790 @ SY1791 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SY1789 ) )
            | ( SY1791 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SY1787 ) )
            | ( SY1791 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(904,plain,
    ! [SV57: $i] :
      ( ( ! [SY1792: $i,SY1793: $i,SY1794: $i,SY1795: $i,SY1796: $i,SY1797: $i] :
            ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SY1792 @ SY1793 @ SY1794 @ SY1795 @ SY1796 @ SY1797 @ t_a ) ) )
            | ( SY1797
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SY1796 @ SY1797 ) ) )
            | ( SY1797 = c_Type_Oty_ONT )
            | ( SY1797 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SY1793 ) )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SY1792 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[580]) ).

thf(905,plain,
    ! [SV58: $i] :
      ( ( ! [SY1798: $i,SY1799: $i,SY1800: $i,SY1801: $i,SY1802: $i,SY1803: $i,SY1804: $i,SY1805: $i,SY1806: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SY1798 @ SY1799 @ SY1800 @ SY1801 @ SY1802 @ SY1803 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SY1798 @ SY1804 @ SY1805 @ SY1806 @ SY1802 @ SY1803 ) )
            | ( SY1802
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY1802 @ SY1801 @ SY1806 @ SY1803 ) ) )
            | ( SY1802 = c_Type_Oty_ONT )
            | ( SY1802 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[581]) ).

thf(906,plain,
    ! [SV59: $i] :
      ( ( ! [SY1807: $i,SY1808: $i,SY1809: $i,SY1810: $i,SY1811: $i,SY1812: $i] :
            ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SY1807 @ SY1808 @ SY1809 @ SY1810 @ SY1811 @ SY1812 @ t_a ) ) )
            | ( SY1812
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SY1811 @ SY1812 ) ) )
            | ( SY1812 = c_Type_Oty_ONT )
            | ( SY1812 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SY1808 ) )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SY1807 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[582]) ).

thf(907,plain,
    ! [SV60: $i] :
      ( ( ! [SY1813: $i,SY1814: $i,SY1815: $i,SY1816: $i,SY1817: $i,SY1818: $i] :
            ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SY1813 @ SY1814 @ SY1815 @ SY1816 @ SY1817 @ SY1818 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SY1817 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SY1817 @ SY1818 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY1816 ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY1815 ) )
            | ( SY1818 = c_Type_Oty_OBoolean )
            | ( SY1818 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(908,plain,
    ! [SV61: $i] :
      ( ( ! [SY1819: $i,SY1820: $i,SY1821: $i,SY1822: $i,SY1823: $i,SY1824: $i] :
            ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SY1819 @ SY1820 @ SY1821 @ SY1822 @ SY1823 @ SY1824 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SY1823 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SY1823 @ SY1824 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY1822 ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY1821 ) )
            | ( SY1824 = c_Type_Oty_OBoolean )
            | ( SY1824 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[584]) ).

thf(909,plain,
    ! [SV62: $i] :
      ( ( ! [SY1825: $i,SY1826: $i,SY1827: $i,SY1828: $i,SY1829: $i,SY1830: $i] :
            ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SY1825 @ SY1826 @ SY1827 @ SY1828 @ SY1829 @ SY1830 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SY1829 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SY1829 @ SY1830 ) ) ) )
            | ( SY1830 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SY1827 ) )
            | ( SY1830 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SY1825 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[586]) ).

thf(910,plain,
    ! [SV63: $i] :
      ( ( ! [SY1831: $i,SY1832: $i,SY1833: $i,SY1834: $i,SY1835: $i,SY1836: $i] :
            ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SY1831 @ SY1832 @ SY1833 @ SY1834 @ SY1835 @ SY1836 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SY1835 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SY1835 @ SY1836 ) ) ) )
            | ( SY1836 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SY1833 ) )
            | ( SY1836 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SY1831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(911,plain,
    ! [SV64: $i] :
      ( ( ! [SY1837: $i,SY1838: $i,SY1839: $i,SY1840: $i,SY1841: $i,SY1842: $i] :
            ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SY1837 @ SY1838 @ SY1839 @ SY1840 @ SY1841 @ SY1842 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SY1841 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SY1841 @ SY1842 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SY1840 ) )
            | ( SY1842 = c_Type_Oty_OInteger )
            | ( SY1842 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SY1837 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[589]) ).

thf(912,plain,
    ! [SV65: $i] :
      ( ( ! [SY1843: $i,SY1844: $i,SY1845: $i,SY1846: $i,SY1847: $i,SY1848: $i] :
            ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SY1843 @ SY1844 @ SY1845 @ SY1846 @ SY1847 @ SY1848 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SY1847 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SY1847 @ SY1848 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SY1846 ) )
            | ( SY1848 = c_Type_Oty_OInteger )
            | ( SY1848 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SY1843 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[591]) ).

thf(913,plain,
    ! [SV66: $i] :
      ( ( ! [SY1849: $i,SY1850: $i,SY1851: $i,SY1852: $i,SY1853: $i,SY1854: $i] :
            ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SY1849 @ SY1850 @ SY1851 @ SY1852 @ SY1853 @ SY1854 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SY1853 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SY1853 @ SY1854 ) ) ) )
            | ( SY1854 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SY1851 ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SY1850 ) )
            | ( SY1854 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[592]) ).

thf(914,plain,
    ! [SV67: $i] :
      ( ( ! [SY1855: $i,SY1856: $i,SY1857: $i,SY1858: $i,SY1859: $i,SY1860: $i] :
            ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SY1855 @ SY1856 @ SY1857 @ SY1858 @ SY1859 @ SY1860 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SY1859 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SY1859 @ SY1860 ) ) ) )
            | ( SY1860 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SY1857 ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SY1856 ) )
            | ( SY1860 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[594]) ).

thf(915,plain,
    ! [SV68: $i] :
      ( ( ! [SY1861: $i,SY1862: $i,SY1863: $i,SY1864: $i,SY1865: $i,SY1866: $i] :
            ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SY1861 @ SY1862 @ SY1863 @ SY1864 @ SY1865 @ SY1866 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SY1865 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SY1865 @ SY1866 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SY1864 ) )
            | ( SY1866 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SY1862 ) )
            | ( SY1866 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[595]) ).

thf(916,plain,
    ! [SV69: $i] :
      ( ( ! [SY1867: $i,SY1868: $i,SY1869: $i,SY1870: $i,SY1871: $i,SY1872: $i] :
            ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SY1867 @ SY1868 @ SY1869 @ SY1870 @ SY1871 @ SY1872 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SY1871 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SY1871 @ SY1872 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SY1870 ) )
            | ( SY1872 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SY1868 ) )
            | ( SY1872 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[597]) ).

thf(917,plain,
    ! [SV70: $i] :
      ( ( ! [SY1873: $i,SY1874: $i,SY1875: $i,SY1876: $i,SY1877: $i,SY1878: $i] :
            ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SY1873 @ SY1874 @ SY1875 @ SY1876 @ SY1877 @ SY1878 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SY1877 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SY1877 @ SY1878 ) ) ) )
            | ( SY1878 = c_Type_Oty_ONT )
            | ( SY1878 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SY1874 ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SY1873 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[599]) ).

thf(918,plain,
    ! [SV71: $i] :
      ( ( ! [SY1879: $i,SY1880: $i,SY1881: $i,SY1882: $i,SY1883: $i,SY1884: $i] :
            ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SY1879 @ SY1880 @ SY1881 @ SY1882 @ SY1883 @ SY1884 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY1883 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SY1883 @ SY1884 ) ) ) )
            | ( SY1884 = c_Type_Oty_ONT )
            | ( SY1884 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SY1880 ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SY1879 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[600]) ).

thf(919,plain,
    ! [SV72: $i] :
      ( ( ! [SY1885: $i,SY1886: $i,SY1887: $i,SY1888: $i,SY1889: $i,SY1890: $i] :
            ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SY1885 @ SY1886 @ SY1887 @ SY1888 @ SY1889 @ SY1890 @ t_a ) ) )
            | ( SY1890
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SY1889 @ SY1890 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY1888 ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY1887 ) )
            | ( SY1890 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY1885 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[601]) ).

thf(920,plain,
    ! [SV73: $i] :
      ( ( ! [SY1891: $i,SY1892: $i,SY1893: $i,SY1894: $i,SY1895: $i,SY1896: $i,SY1897: $i,SY1898: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY1891 @ SY1892 @ SY1893 @ SY1894 @ SY1895 @ SV73 @ SY1896 )
              = ( c_Type_Oty_Oty__case @ SY1891 @ SY1897 @ SY1893 @ SY1894 @ SY1898 @ SV73 @ SY1896 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SY1895 @ SY1898 @ SY1896 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[602]) ).

thf(921,plain,
    ! [SV74: $i] :
      ( ( ! [SY1899: $i,SY1900: $i,SY1901: $i,SY1902: $i,SY1903: $i,SY1904: $i] :
            ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SY1899 @ SY1900 @ SY1901 @ SY1902 @ SY1903 @ SY1904 @ t_a ) ) )
            | ( SY1904
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SY1903 @ SY1904 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY1902 ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY1901 ) )
            | ( SY1904 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY1899 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[603]) ).

thf(922,plain,
    ! [SV75: $i] :
      ( ( ! [SY1905: $i,SY1906: $i,SY1907: $i,SY1908: $i,SY1909: $i,SY1910: $i,SY1911: $i,SY1912: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY1905 @ SY1906 @ SY1907 @ SY1908 @ SY1909 @ SV75 @ SY1910 )
              = ( c_Type_Oty_Oty__case @ SY1911 @ SY1906 @ SY1907 @ SY1908 @ SY1912 @ SV75 @ SY1910 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SY1909 @ SY1912 @ SY1910 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[604]) ).

thf(923,plain,
    ! [SV76: $i] :
      ( ( ! [SY1913: $i,SY1914: $i,SY1915: $i,SY1916: $i,SY1917: $i,SY1918: $i] :
            ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SY1913 @ SY1914 @ SY1915 @ SY1916 @ SY1917 @ SY1918 @ t_a ) ) )
            | ( SY1918
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SY1917 @ SY1918 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY1916 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY1915 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY1914 ) )
            | ( SY1918 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[605]) ).

thf(924,plain,
    ! [SV77: $i] :
      ( ( ! [SY1919: $i,SY1920: $i,SY1921: $i,SY1922: $i,SY1923: $i,SY1924: $i] :
            ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SY1919 @ SY1920 @ SY1921 @ SY1922 @ SY1923 @ SY1924 @ t_a ) ) )
            | ( SY1924
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SY1923 @ SY1924 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY1922 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY1921 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY1920 ) )
            | ( SY1924 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[606]) ).

thf(925,plain,
    ! [SV78: $i] :
      ( ( ! [SY1925: $i,SY1926: $i,SY1927: $i,SY1928: $i,SY1929: $i,SY1930: $i] :
            ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SY1925 @ SY1926 @ SY1927 @ SY1928 @ SY1929 @ SY1930 @ t_a ) ) )
            | ( SY1930
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SY1929 @ SY1930 ) ) )
            | ( SY1930 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SY1927 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SY1926 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SY1925 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[607]) ).

thf(926,plain,
    ! [SV79: $i] :
      ( ( ! [SY1931: $i,SY1932: $i,SY1933: $i,SY1934: $i,SY1935: $i,SY1936: $i,SY1937: $i,SY1938: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SY1931 @ SY1932 @ SY1933 @ SY1934 @ SY1935 @ SY1936 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SY1931 @ SY1932 @ SY1937 @ SY1938 @ SY1935 @ SY1936 ) )
            | ( SY1935
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY1935 @ SY1934 @ SY1938 @ SY1936 ) ) )
            | ( SY1935 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[608]) ).

thf(927,plain,
    ! [SV80: $i] :
      ( ( ! [SY1939: $i,SY1940: $i,SY1941: $i,SY1942: $i,SY1943: $i,SY1944: $i] :
            ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SY1939 @ SY1940 @ SY1941 @ SY1942 @ SY1943 @ SY1944 @ t_a ) ) )
            | ( SY1944
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SY1943 @ SY1944 ) ) )
            | ( SY1944 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SY1941 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SY1940 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SY1939 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[609]) ).

thf(928,plain,
    ! [SV81: $i] :
      ( ( ! [SY1945: $i,SY1946: $i,SY1947: $i,SY1948: $i,SY1949: $i,SY1950: $i] :
            ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SY1945 @ SY1946 @ SY1947 @ SY1948 @ SY1949 @ SY1950 @ t_a ) ) )
            | ( SY1950
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SY1949 @ SY1950 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY1948 ) )
            | ( SY1950 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY1946 ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY1945 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(929,plain,
    ! [SV82: $i] :
      ( ( ! [SY1951: $i,SY1952: $i,SY1953: $i,SY1954: $i,SY1955: $i,SY1956: $i,SY1957: $i,SY1958: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY1951 @ SY1952 @ SY1953 @ SY1954 @ SY1955 @ SV82 @ SY1956 )
              = ( c_Type_Oty_Oty__case @ SY1951 @ SY1952 @ SY1957 @ SY1954 @ SY1958 @ SV82 @ SY1956 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SY1955 @ SY1958 @ SY1956 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[611]) ).

thf(930,plain,
    ! [SV83: $i] :
      ( ( ! [SY1959: $i,SY1960: $i,SY1961: $i,SY1962: $i,SY1963: $i,SY1964: $i] :
            ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SY1959 @ SY1960 @ SY1961 @ SY1962 @ SY1963 @ SY1964 @ t_a ) ) )
            | ( SY1964
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SY1963 @ SY1964 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY1962 ) )
            | ( SY1964 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY1960 ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY1959 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[612]) ).

thf(931,plain,
    ! [SV84: $i] :
      ( ( ! [SY1965: $i,SY1966: $i,SY1967: $i,SY1968: $i,SY1969: $i,SY1970: $i] :
            ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SY1965 @ SY1966 @ SY1967 @ SY1968 @ SY1969 @ SY1970 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SY1969 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SY1969 @ SY1970 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY1968 ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY1967 ) )
            | ( SY1970 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY1965 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[614]) ).

thf(932,plain,
    ! [SV85: $i] :
      ( ( ! [SY1971: $i,SY1972: $i,SY1973: $i,SY1974: $i,SY1975: $i,SY1976: $i] :
            ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SY1971 @ SY1972 @ SY1973 @ SY1974 @ SY1975 @ SY1976 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SY1975 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SY1975 @ SY1976 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY1974 ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY1973 ) )
            | ( SY1976 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY1971 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[615]) ).

thf(933,plain,
    ! [SV86: $i] :
      ( ( ! [SY1977: $i,SY1978: $i,SY1979: $i,SY1980: $i,SY1981: $i,SY1982: $i] :
            ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SY1977 @ SY1978 @ SY1979 @ SY1980 @ SY1981 @ SY1982 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SY1981 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SY1981 @ SY1982 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY1980 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY1979 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY1978 ) )
            | ( SY1982 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[616]) ).

thf(934,plain,
    ! [SV87: $i] :
      ( ( ! [SY1983: $i,SY1984: $i,SY1985: $i,SY1986: $i,SY1987: $i,SY1988: $i] :
            ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SY1983 @ SY1984 @ SY1985 @ SY1986 @ SY1987 @ SY1988 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY1987 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SY1987 @ SY1988 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY1986 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY1985 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY1984 ) )
            | ( SY1988 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[617]) ).

thf(935,plain,
    ! [SV88: $i] :
      ( ( ! [SY1989: $i,SY1990: $i,SY1991: $i,SY1992: $i,SY1993: $i,SY1994: $i] :
            ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SY1989 @ SY1990 @ SY1991 @ SY1992 @ SY1993 @ SY1994 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SY1993 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SY1993 @ SY1994 ) ) ) )
            | ( SY1994 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SY1991 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SY1990 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SY1989 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[619]) ).

thf(936,plain,
    ! [SV89: $i] :
      ( ( ! [SY1995: $i,SY1996: $i,SY1997: $i,SY1998: $i,SY1999: $i,SY2000: $i] :
            ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SY1995 @ SY1996 @ SY1997 @ SY1998 @ SY1999 @ SY2000 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SY1999 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SY1999 @ SY2000 ) ) ) )
            | ( SY2000 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SY1997 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SY1996 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SY1995 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[620]) ).

thf(937,plain,
    ! [SV90: $i] :
      ( ( ! [SY2001: $i,SY2002: $i,SY2003: $i,SY2004: $i,SY2005: $i,SY2006: $i] :
            ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SY2001 @ SY2002 @ SY2003 @ SY2004 @ SY2005 @ SY2006 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SY2005 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SY2005 @ SY2006 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY2004 ) )
            | ( SY2006 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY2002 ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY2001 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[623]) ).

thf(938,plain,
    ! [SV91: $i] :
      ( ( ! [SY2007: $i,SY2008: $i,SY2009: $i,SY2010: $i,SY2011: $i,SY2012: $i] :
            ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SY2007 @ SY2008 @ SY2009 @ SY2010 @ SY2011 @ SY2012 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SY2011 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SY2011 @ SY2012 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY2010 ) )
            | ( SY2012 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY2008 ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY2007 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[624]) ).

thf(939,plain,
    ! [SV92: $i] :
      ( ( ! [SY2013: $i,SY2014: $i] : ( c_TypeRel_Owiden @ SV92 @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ SY2013 ) @ SY2014 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[625]) ).

thf(940,plain,
    ! [SV93: $i] :
      ( ( ! [SY2015: $i,SY2016: $i,SY2017: $i,SY2018: $i,SY2019: $i,SY2020: $i] :
            ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SY2015 @ SY2016 @ SY2017 @ SY2018 @ SY2019 @ SY2020 @ t_a ) ) )
            | ( SY2020
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SY2019 @ SY2020 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY2018 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY2017 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY2016 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY2015 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[626]) ).

thf(941,plain,
    ! [SV94: $i] :
      ( ( ! [SY2021: $i,SY2022: $i,SY2023: $i,SY2024: $i,SY2025: $i,SY2026: $i,SY2027: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SY2021 @ SY2022 @ SY2023 @ SY2024 @ SY2025 @ SY2026 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SY2021 @ SY2022 @ SY2023 @ SY2027 @ SY2025 @ SY2026 ) )
            | ( SY2025
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2025 @ SY2024 @ SY2027 @ SY2026 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[627]) ).

thf(942,plain,
    ! [SV95: $i] :
      ( ( ! [SY2028: $i,SY2029: $i,SY2030: $i,SY2031: $i,SY2032: $i,SY2033: $i] :
            ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SY2028 @ SY2029 @ SY2030 @ SY2031 @ SY2032 @ SY2033 @ t_a ) ) )
            | ( SY2033
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SY2032 @ SY2033 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY2031 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY2030 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY2029 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY2028 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[628]) ).

thf(943,plain,
    ! [SV96: $i] :
      ( ( ! [SY2034: $i,SY2035: $i,SY2036: $i,SY2037: $i,SY2038: $i,SY2039: $i] :
            ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SY2034 @ SY2035 @ SY2036 @ SY2037 @ SY2038 @ SY2039 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SY2038 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SY2038 @ SY2039 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY2037 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY2036 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY2035 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY2034 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[630]) ).

thf(944,plain,
    ! [SV97: $i] :
      ( ( ! [SY2040: $i,SY2041: $i,SY2042: $i,SY2043: $i,SY2044: $i,SY2045: $i] :
            ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SY2040 @ SY2041 @ SY2042 @ SY2043 @ SY2044 @ SY2045 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SY2044 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SY2044 @ SY2045 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY2043 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY2042 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY2041 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY2040 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[631]) ).

thf(945,plain,
    ! [SV98: $i] :
      ( ( ! [SY2046: $i,SY2047: $i] : ( c_TypeRel_Owiden @ SV98 @ SY2046 @ SY2046 @ SY2047 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[633]) ).

thf(946,plain,
    ! [SV99: $i] :
      ( ( ! [SY2048: $i,SY2049: $i,SY2050: $i,SY2051: $i] :
            ( ( c_TypeRel_Owiden @ SV99 @ SY2048 @ SY2049 @ SY2050 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SY2051 @ SY2049 @ SY2050 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SY2048 @ SY2051 @ SY2050 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[634]) ).

thf(947,plain,
    ! [SV100: $i] :
      ( ( ! [SY2052: $i,SY2053: $i,SY2054: $i,SY2055: $i,SY2056: $i,SY2057: $i,SY2058: $i,SY2059: $i,SY2060: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SY2052 @ SY2053 @ ( c_Expr_Oexp_OFAss @ SY2054 @ SY2055 @ SY2056 @ SY2057 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY2058 @ SY2059 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SY2052 @ SY2053 @ SY2057 @ SY2058 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY2060 @ SY2055 @ SY2059 @ SY2056 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SY2052 @ SY2053 @ SY2054 @ ( c_Type_Oty_OClass @ SY2060 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[635]) ).

thf(948,plain,
    ! [SV101: $i] :
      ( ( ! [SY2061: $i,SY2062: $i,SY2063: $i,SY2064: $i,SY2065: $i,SY2066: $i,SY2067: $i,SY2068: $i,SY2069: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SY2061 @ SY2062 @ ( c_Expr_Oexp_OFAss @ SY2063 @ SY2064 @ SY2065 @ SY2066 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY2067 @ SY2068 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SY2061 @ SY2062 @ SY2066 @ SY2067 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY2069 @ SY2064 @ SY2068 @ SY2065 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SY2061 @ SY2062 @ SY2063 @ ( c_Type_Oty_OClass @ SY2069 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[636]) ).

thf(949,plain,
    ! [SV102: $i] :
      ( ( ! [SY2070: $i,SY2071: $i,SY2072: $i,SY2073: $i,SY2074: $i,SY2075: $i,SY2076: $i,SY2077: $i,SY2078: $i,SY2079: $i,SY2080: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SY2070 @ SY2071 @ SY2072 @ SY2073 @ SY2074 @ SY2075 )
              = ( c_Type_Oty_Oty__case @ SY2076 @ SY2077 @ SY2078 @ SY2079 @ SY2080 @ SY2074 @ SY2075 ) )
            | ( SY2074
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2074 @ SY2073 @ SY2080 @ SY2075 ) ) )
            | ( SY2074 = c_Type_Oty_ONT )
            | ( SY2074 = c_Type_Oty_OInteger )
            | ( SY2074 = c_Type_Oty_OBoolean )
            | ( SY2074 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[637]) ).

thf(950,plain,
    ! [SV103: $i] :
      ( ( ! [SY2081: $i,SY2082: $i,SY2083: $i,SY2084: $i,SY2085: $i,SY2086: $i] :
            ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SY2081 @ SY2082 @ SY2083 @ SY2084 @ SY2085 @ SY2086 @ t_a ) ) )
            | ( SY2086
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SY2085 @ SY2086 ) ) )
            | ( SY2086 = c_Type_Oty_ONT )
            | ( SY2086 = c_Type_Oty_OInteger )
            | ( SY2086 = c_Type_Oty_OBoolean )
            | ( SY2086 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[638]) ).

thf(951,plain,
    ! [SV104: $i] :
      ( ( ! [SY2087: $i,SY2088: $i,SY2089: $i,SY2090: $i,SY2091: $i,SY2092: $i] :
            ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SY2087 @ SY2088 @ SY2089 @ SY2090 @ SY2091 @ SY2092 @ t_a ) ) )
            | ( SY2092
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SY2091 @ SY2092 ) ) )
            | ( SY2092 = c_Type_Oty_ONT )
            | ( SY2092 = c_Type_Oty_OInteger )
            | ( SY2092 = c_Type_Oty_OBoolean )
            | ( SY2092 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[639]) ).

thf(952,plain,
    ! [SV105: $i] :
      ( ( ! [SY2093: $i] :
            ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ SV105 @ v_P @ SY2093 @ v_e_Ha____ @ v_h_Ha____ ) @ SY2093 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV105 @ v_ea____ @ SY2093 )
            | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV105 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[641]) ).

thf(953,plain,
    ! [SV106: $i] :
      ( ( ! [SY2094: $i] :
            ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV106 @ v_P @ SY2094 @ v_e_Ha____ @ v_h_Ha____ ) @ SY2094 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV106 @ v_ea____ @ SY2094 )
            | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV106 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[642]) ).

thf(954,plain,
    ! [SV107: $i] :
      ( ( ! [SY2095: $i] :
            ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ SV107 @ v_P @ SY2095 @ v_e_Ha____ @ v_h_Ha____ ) @ SY2095 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV107 @ v_ea____ @ SY2095 )
            | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV107 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[643]) ).

thf(955,plain,
    ! [SV108: $i] :
      ( ( ( SV108 = c_Type_Oty_OInteger )
        | ( SV108 = c_Type_Oty_OBoolean )
        | ( SV108 = c_Type_Oty_OVoid )
        | ( c_Type_Ois__refT @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[645]) ).

thf(956,plain,
    ! [SV109: $i] :
      ( ( ! [SY2096: $i,SY2097: $i,SY2098: $i,SY2099: $i,SY2100: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SY2096 @ SY2097 @ SY2098 @ SY2099 @ SY2100 @ c_Type_Oty_OVoid @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV109 @ SY2096 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[650]) ).

thf(957,plain,
    ! [SV110: $i] :
      ( ( ! [SY2101: $i,SY2102: $i,SY2103: $i,SY2104: $i,SY2105: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SY2101 @ SY2102 @ SY2103 @ SY2104 @ SY2105 @ c_Type_Oty_OBoolean @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV110 @ SY2102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[651]) ).

thf(958,plain,
    ! [SV111: $i] :
      ( ( ! [SY2106: $i,SY2107: $i,SY2108: $i,SY2109: $i,SY2110: $i] :
            ( ( c_Type_Oty_Oty__case @ SV111 @ SY2106 @ SY2107 @ SY2108 @ SY2109 @ c_Type_Oty_OBoolean @ SY2110 )
            = SY2106 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[658]) ).

thf(959,plain,
    ! [SV112: $i] :
      ( ( ! [SY2111: $i,SY2112: $i,SY2113: $i,SY2114: $i,SY2115: $i,SY2116: $i] :
            ( ( SV112 = c_Type_Oty_OVoid )
            | ~ ( c_WellType_OWT @ SY2111 @ SY2112 @ ( c_Expr_Oexp_OFAss @ SY2113 @ SY2114 @ SY2115 @ SY2116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[660]) ).

thf(960,plain,
    ! [SV113: $i] :
      ( ( c_Objects_Ohext @ SV113 @ SV113 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[667]) ).

thf(961,plain,
    ! [SV114: $i] :
      ( ( ! [SY2117: $i,SY2118: $i] :
            ( ( c_Objects_Ohext @ SV114 @ SY2117 )
            | ~ ( c_Objects_Ohext @ SY2118 @ SY2117 )
            | ~ ( c_Objects_Ohext @ SV114 @ SY2118 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[668]) ).

thf(962,plain,
    ! [SV115: $i] :
      ( ( ! [SY2119: $i,SY2120: $i,SY2121: $i,SY2122: $i,SY2123: $i,SY2124: $i,SY2125: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SY2119 @ SY2120 @ ( c_Expr_Oexp_OFAcc @ SY2121 @ SY2122 @ SY2123 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2124 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY2125 @ SY2122 @ SY2124 @ SY2123 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SY2119 @ SY2120 @ SY2121 @ ( c_Type_Oty_OClass @ SY2125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[669]) ).

thf(963,plain,
    ! [SV116: $i] :
      ( ( ! [SY2126: $i,SY2127: $i,SY2128: $i,SY2129: $i,SY2130: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV116 @ SY2126 @ SY2127 @ SY2128 @ SY2129 @ c_Type_Oty_OInteger @ SY2130 )
            = SY2127 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[670]) ).

thf(964,plain,
    ! [SV117: $i] :
      ( ( ! [SY2131: $i,SY2132: $i,SY2133: $i,SY2134: $i,SY2135: $i,SY2136: $i,SY2137: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SY2131 @ SY2132 @ SY2133 @ c_Type_Oty_ONT )
            | ( SY2134 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SY2131 @ SY2132 @ ( c_Expr_Oexp_OFAss @ SY2133 @ SY2135 @ SY2136 @ SY2137 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2134 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[673]) ).

thf(965,plain,
    ! [SV118: $i] :
      ( ( ! [SY2138: $i] :
            ( ( c_COMBI @ SV118 @ SY2138 )
            = SV118 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[674]) ).

thf(966,plain,
    ! [SV119: $i] :
      ( ( ! [SY2139: $i,SY2140: $i,SY2141: $i,SY2142: $i,SY2143: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV119 @ SY2139 @ SY2140 @ ( c_Expr_Oexp_OCast @ SY2141 @ SY2142 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY2141 ) )
            | ~ ( c_Decl_Ois__class @ SV119 @ SY2141 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY2143 )
            | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SY2139 @ SY2140 @ SY2142 @ SY2143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[678]) ).

thf(967,plain,
    ! [SV120: $i] :
      ( ( ! [SY2144: $i,SY2145: $i,SY2146: $i] :
            ( ( c_Progress_OWTrt_H @ SV120 @ SY2144 @ SY2145 @ ( c_Expr_Oexp_Onew @ SY2146 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY2146 ) )
            | ~ ( c_Decl_Ois__class @ SV120 @ SY2146 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[680]) ).

thf(968,plain,
    ! [SV121: $i] :
      ( ( ! [SY2147: $i,SY2148: $i,SY2149: $i,SY2150: $i,SY2151: $i] :
            ( ( c_Type_Oty_Oty__case @ SV121 @ SY2147 @ SY2148 @ SY2149 @ SY2150 @ c_Type_Oty_ONT @ SY2151 )
            = SY2149 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[682]) ).

thf(969,plain,
    ! [SV122: $i] :
      ( ( ! [SY2152: $i,SY2153: $i,SY2154: $i,SY2155: $i,SY2156: $i] :
            ( ( c_Type_Oty_Oty__case @ SV122 @ SY2152 @ SY2153 @ SY2154 @ SY2155 @ c_Type_Oty_OInteger @ SY2156 )
            = SY2153 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[683]) ).

thf(970,plain,
    ! [SV123: $i] :
      ( ( ! [SY2157: $i,SY2158: $i,SY2159: $i,SY2160: $i,SY2161: $i] :
            ( ( c_Progress_OWTrt_H @ SV123 @ SY2157 @ SY2158 @ ( c_Expr_Oexp_OCast @ SY2159 @ SY2160 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY2159 ) )
            | ~ ( c_Decl_Ois__class @ SV123 @ SY2159 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY2161 )
            | ~ ( c_Progress_OWTrt_H @ SV123 @ SY2157 @ SY2158 @ SY2160 @ SY2161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[684]) ).

thf(971,plain,
    ! [SV124: $i] :
      ( ( ! [SY2162: $i,SY2163: $i] : ( c_Map_Omap__le @ SV124 @ SV124 @ SY2162 @ SY2163 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[685]) ).

thf(972,plain,
    ! [SV125: $i] :
      ( ( ! [SY2164: $i,SY2165: $i,SY2166: $i,SY2167: $i] :
            ( ( c_Map_Omap__le @ SV125 @ SY2164 @ SY2165 @ SY2166 )
            | ~ ( c_Map_Omap__le @ SY2167 @ SY2164 @ SY2165 @ SY2166 )
            | ~ ( c_Map_Omap__le @ SV125 @ SY2167 @ SY2165 @ SY2166 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[686]) ).

thf(973,plain,
    ! [SV126: $i] :
      ( ( ! [SY2168: $i,SY2169: $i,SY2170: $i,SY2171: $i] :
            ( ( c_WellType_OWT @ SV126 @ SY2168 @ SY2169 @ SY2170 )
            | ~ ( c_Map_Omap__le @ SY2171 @ SY2168 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellType_OWT @ SV126 @ SY2171 @ SY2169 @ SY2170 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[687]) ).

thf(974,plain,
    ! [SV127: $i] :
      ( ( ! [SY2172: $i,SY2173: $i] :
            ( ( c_WellType_OWT @ SV127 @ SY2172 @ ( c_Expr_Oexp_Onew @ SY2173 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY2173 ) )
            | ~ ( c_Decl_Ois__class @ SV127 @ SY2173 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[688]) ).

thf(975,plain,
    ! [SV128: $i] :
      ( ( ! [SY2174: $i,SY2175: $i,SY2176: $i,SY2177: $i] :
            ( ( SV128
              = ( c_Type_Oty_OClass @ SY2174 ) )
            | ~ ( c_WellType_OWT @ SY2175 @ SY2176 @ ( c_Expr_Oexp_OCast @ SY2174 @ SY2177 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[689]) ).

thf(976,plain,
    ! [SV129: $i] :
      ( ( ! [SY2178: $i,SY2179: $i,SY2180: $i,SY2181: $i] :
            ( ( c_Decl_Ois__class @ SV129 @ SY2178 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV129 @ SY2179 @ SY2180 @ ( c_Expr_Oexp_Onew @ SY2178 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2181 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[691]) ).

thf(977,plain,
    ! [SV130: $i] :
      ( ( ! [SY2182: $i,SY2183: $i,SY2184: $i,SY2185: $i] :
            ( ( c_Decl_Ois__class @ SV130 @ SY2182 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV130 @ SY2183 @ ( c_Expr_Oexp_OCast @ SY2182 @ SY2184 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[692]) ).

thf(978,plain,
    ! [SV131: $i] :
      ( ( ! [SY2186: $i,SY2187: $i,SY2188: $i,SY2189: $i,SY2190: $i,SY2191: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV131 @ SY2186 @ SY2187 @ ( c_Expr_Oexp_OFAcc @ SY2188 @ SY2189 @ SY2190 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2191 )
            | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SY2186 @ SY2187 @ SY2188 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[701]) ).

thf(979,plain,
    ! [SV132: $i] :
      ( ( ! [SY2192: $i,SY2193: $i,SY2194: $i,SY2195: $i,SY2196: $i,SY2197: $i] :
            ( ( c_Progress_OWTrt_H @ SV132 @ SY2192 @ SY2193 @ ( c_Expr_Oexp_OFAcc @ SY2194 @ SY2195 @ SY2196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2197 )
            | ~ ( c_Progress_OWTrt_H @ SV132 @ SY2192 @ SY2193 @ SY2194 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[704]) ).

thf(980,plain,
    ! [SV133: $i] :
      ( ( ! [SY2198: $i,SY2199: $i,SY2200: $i,SY2201: $i,SY2202: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SY2198 @ SY2199 @ SY2200 @ SY2201 @ SY2202 @ c_Type_Oty_ONT @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV133 @ SY2201 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[705]) ).

thf(981,plain,
    ! [SV134: $i] :
      ( ( ! [SY2203: $i,SY2204: $i,SY2205: $i,SY2206: $i,SY2207: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV134 @ SY2203 @ SY2204 @ SY2205 @ SY2206 @ c_Type_Oty_ONT @ SY2207 )
            = SY2205 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[708]) ).

thf(982,plain,
    ! [SV135: $i] :
      ( ( ! [SY2208: $i,SY2209: $i,SY2210: $i] :
            ( ( SV135 = SY2208 )
            | ~ ( c_Map_Omap__le @ SY2208 @ SV135 @ SY2209 @ SY2210 )
            | ~ ( c_Map_Omap__le @ SV135 @ SY2208 @ SY2209 @ SY2210 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[710]) ).

thf(983,plain,
    ! [SV136: $i] :
      ( ( ! [SY2211: $i,SY2212: $i,SY2213: $i,SY2214: $i,SY2215: $i,SY2216: $i,SY2217: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SY2211 @ SY2212 @ SY2213 @ ( c_Expr_Oexp_OFAss @ SY2214 @ SY2215 @ SY2216 @ SY2217 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[711]) ).

thf(984,plain,
    ! [SV137: $i] :
      ( ( ! [SY2218: $i,SY2219: $i,SY2220: $i,SY2221: $i,SY2222: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SY2218 @ SY2219 @ SY2220 @ SY2221 @ SY2222 @ c_Type_Oty_OInteger @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV137 @ SY2220 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[713]) ).

thf(985,plain,
    ! [SV138: $i] :
      ( ( ! [SY2223: $i,SY2224: $i,SY2225: $i] :
            ( ( SV138
              = ( c_Type_Oty_OClass @ SY2223 ) )
            | ~ ( c_WellType_OWT @ SY2224 @ SY2225 @ ( c_Expr_Oexp_Onew @ SY2223 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(986,plain,
    ! [SV139: $i] :
      ( ( ! [SY2226: $i,SY2227: $i,SY2228: $i] :
            ( ( c_Decl_Ois__class @ SV139 @ SY2226 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV139 @ SY2227 @ ( c_Expr_Oexp_Onew @ SY2226 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2228 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(987,plain,
    ! [SV140: $i] :
      ( ( ! [SY2229: $i,SY2230: $i,SY2231: $i,SY2232: $i,SY2233: $i,SY2234: $i,SY2235: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SY2229 @ SY2230 @ ( c_Expr_Oexp_OFAss @ SY2231 @ SY2232 @ SY2233 @ SY2234 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SY2229 @ SY2230 @ SY2234 @ SY2235 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SY2229 @ SY2230 @ SY2231 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[718]) ).

thf(988,plain,
    ! [SV141: $i] :
      ( ( ! [SY2236: $i,SY2237: $i,SY2238: $i,SY2239: $i,SY2240: $i,SY2241: $i] :
            ( ( c_Progress_OWTrt_H @ SV141 @ SY2236 @ SY2237 @ ( c_Expr_Oexp_OSeq @ SY2238 @ SY2239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2240 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SY2236 @ SY2237 @ SY2239 @ SY2240 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SY2236 @ SY2237 @ SY2238 @ SY2241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[719]) ).

thf(989,plain,
    ! [SV142: $i] :
      ( ( ! [SY2242: $i,SY2243: $i,SY2244: $i,SY2245: $i,SY2246: $i] :
            ( ( c_Type_Oty_Oty__case @ SV142 @ SY2242 @ SY2243 @ SY2244 @ SY2245 @ c_Type_Oty_OVoid @ SY2246 )
            = SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[720]) ).

thf(990,plain,
    ! [SV143: $i] :
      ( ( ! [SY2247: $i,SY2248: $i,SY2249: $i,SY2250: $i,SY2251: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV143 @ SY2247 @ SY2248 @ SY2249 @ SY2250 @ c_Type_Oty_OBoolean @ SY2251 )
            = SY2247 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[728]) ).

thf(991,plain,
    ! [SV144: $i] :
      ( ( ! [SY2252: $i,SY2253: $i,SY2254: $i,SY2255: $i,SY2256: $i] :
            ( ( c_WellType_OWT @ SV144 @ SY2252 @ ( c_Expr_Oexp_OSeq @ SY2253 @ SY2254 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2255 )
            | ~ ( c_WellType_OWT @ SV144 @ SY2252 @ SY2254 @ SY2255 )
            | ~ ( c_WellType_OWT @ SV144 @ SY2252 @ SY2253 @ SY2256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[729]) ).

thf(992,plain,
    ! [SV145: $i] :
      ( ( ! [SY2257: $i,SY2258: $i,SY2259: $i,SY2260: $i,SY2261: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV145 @ SY2257 @ SY2258 @ SY2259 @ SY2260 @ c_Type_Oty_OVoid @ SY2261 )
            = SV145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[730]) ).

thf(993,plain,
    ! [SV146: $i] :
      ( ( ! [SY2262: $i,SY2263: $i,SY2264: $i,SY2265: $i,SY2266: $i,SY2267: $i,SY2268: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SY2262 @ SY2263 @ ( c_Expr_Oexp_OFAss @ SY2264 @ SY2265 @ SY2266 @ SY2267 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SY2262 @ SY2263 @ SY2267 @ SY2268 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SY2262 @ SY2263 @ SY2264 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[732]) ).

thf(994,plain,
    ! [SV147: $i] :
      ( ( ! [SY2269: $i,SY2270: $i,SY2271: $i,SY2272: $i,SY2273: $i] :
            ( ( c_Decl_Ois__class @ SV147 @ SY2269 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV147 @ SY2270 @ SY2271 @ ( c_Expr_Oexp_OCast @ SY2269 @ SY2272 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2273 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[733]) ).

thf(995,plain,
    ! [SV148: $i] :
      ( ( ! [SY2274: $i,SY2275: $i,SY2276: $i,SY2277: $i,SY2278: $i] :
            ( ( SV148
              = ( c_Type_Oty_OClass @ SY2274 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SY2275 @ SY2276 @ SY2277 @ ( c_Expr_Oexp_OCast @ SY2274 @ SY2278 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[735]) ).

thf(996,plain,
    ! [SV149: $i] :
      ( ( ! [SY2279: $i,SY2280: $i,SY2281: $i,SY2282: $i,SY2283: $i,SY2284: $i] :
            ( ( c_Type_Oty_Oty__case @ SV149 @ SY2279 @ SY2280 @ SY2281 @ SY2282 @ ( c_Type_Oty_OClass @ SY2283 ) @ SY2284 )
            = ( hAPP @ SY2282 @ SY2283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[741]) ).

thf(997,plain,
    ! [SV150: $i] :
      ( ( ! [SY2285: $i,SY2286: $i,SY2287: $i,SY2288: $i,SY2289: $i,SY2290: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV150 @ SY2285 @ SY2286 @ ( c_Expr_Oexp_OSeq @ SY2287 @ SY2288 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2289 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SY2285 @ SY2286 @ SY2288 @ SY2289 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SY2285 @ SY2286 @ SY2287 @ SY2290 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[742]) ).

thf(998,plain,
    ! [SV151: $i] :
      ( ( ! [SY2291: $i] :
            ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV151 @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ SV151 @ v_P @ SY2291 @ v_e_Ha____ @ v_h_Ha____ ) )
            | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV151 @ v_ea____ @ SY2291 )
            | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV151 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[744]) ).

thf(999,plain,
    ! [SV152: $i] :
      ( ( ! [SY2292: $i,SY2293: $i,SY2294: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV152 @ SY2292 @ SY2293 @ ( c_Expr_Oexp_Onew @ SY2294 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY2294 ) )
            | ~ ( c_Decl_Ois__class @ SV152 @ SY2294 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[745]) ).

thf(1000,plain,
    ! [SV153: $i] :
      ( ( ! [SY2295: $i,SY2296: $i,SY2297: $i,SY2298: $i] :
            ( ( SV153
              = ( c_Type_Oty_OClass @ SY2295 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SY2296 @ SY2297 @ SY2298 @ ( c_Expr_Oexp_Onew @ SY2295 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[746]) ).

thf(1001,plain,
    ! [SV154: $i] :
      ( ( ! [SY2299: $i,SY2300: $i,SY2301: $i,SY2302: $i,SY2303: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV154 @ SY2299 @ SY2300 @ SY2301 @ SY2302 )
            | ~ ( c_Map_Omap__le @ SY2303 @ SY2300 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SY2299 @ SY2303 @ SY2301 @ SY2302 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[751]) ).

thf(1002,plain,
    ! [SV155: $i] :
      ( ( ! [SY2304: $i,SY2305: $i,SY2306: $i,SY2307: $i,SY2308: $i,SY2309: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV155 @ SY2304 @ SY2305 @ SY2306 @ SY2307 @ ( c_Type_Oty_OClass @ SY2308 ) @ SY2309 )
            = ( hAPP @ SY2307 @ SY2308 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[752]) ).

thf(1003,plain,
    ! [SV156: $i] :
      ( ( ! [SY2310: $i] :
            ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV156 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ SV156 @ v_P @ SY2310 @ v_e_Ha____ @ v_h_Ha____ ) )
            | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV156 @ v_ea____ @ SY2310 )
            | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV156 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[754]) ).

thf(1004,plain,
    ! [SV157: $i] :
      ( ( ! [SY2311: $i,SY2312: $i,SY2313: $i,SY2314: $i] :
            ( ( c_Progress_OWTrt_H @ SV157 @ SY2311 @ SY2312 @ SY2313 @ SY2314 )
            | ~ ( c_WellTypeRT_OWTrt @ SV157 @ SY2311 @ SY2312 @ SY2313 @ SY2314 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[755]) ).

thf(1005,plain,
    ! [SV158: $i] :
      ( ( ! [SY2315: $i,SY2316: $i,SY2317: $i,SY2318: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV158 @ SY2315 @ SY2316 @ SY2317 @ SY2318 )
            | ~ ( c_Progress_OWTrt_H @ SV158 @ SY2315 @ SY2316 @ SY2317 @ SY2318 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[756]) ).

thf(1006,plain,
    ! [SV159: $i] :
      ( ( ! [SY2319: $i,SY2320: $i,SY2321: $i,SY2322: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV159 @ SY2319 @ SY2320 @ SY2321 @ SY2322 )
            | ~ ( c_WellType_OWT @ SV159 @ SY2320 @ SY2321 @ SY2322 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[760]) ).

thf(1007,plain,
    ! [SV160: $i] :
      ( ( ! [SY2323: $i,SY2324: $i,SY2325: $i,SY2326: $i,SY2327: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV160 @ SY2323 @ SY2324 @ SY2325 @ SY2326 )
            | ~ ( c_Objects_Ohext @ SY2327 @ SY2323 )
            | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SY2327 @ SY2324 @ SY2325 @ SY2326 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[761]) ).

thf(1008,plain,
    ! [SV161: $i] :
      ( ( ! [SY2328: $i,SY2329: $i,SY2330: $i,SY2331: $i,SY2332: $i,SY2333: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SY2328 @ SY2329 @ SY2330 @ SY2331 @ SY2332 @ ( c_Type_Oty_OClass @ SY2333 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SY2332 @ SY2333 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[762]) ).

thf(1009,plain,
    ! [SV162: $i] :
      ( ( ! [SY2334: $i,SY2335: $i,SY2336: $i,SY2337: $i,SY2338: $i,SY2339: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SY2334 @ SY2335 @ SY2336 @ SY2337 @ SY2338 @ ( c_Type_Oty_OClass @ SY2339 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SY2338 @ SY2339 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[763]) ).

thf(1010,plain,
    ! [SV163: $i] :
      ( ( ! [SY2340: $i] :
            ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV163 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV163 @ v_P @ SY2340 @ v_e_Ha____ @ v_h_Ha____ ) )
            | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV163 @ v_ea____ @ SY2340 )
            | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV163 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(1011,plain,
    ! [SV164: $i] :
      ( ( c_Type_Ois__refT @ ( c_Type_Oty_OClass @ SV164 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[767]) ).

thf(1012,plain,
    ! [SV165: $i] :
      ( ( ! [SY2341: $i,SY2342: $i,SY2343: $i,SY2344: $i,SY2345: $i,SY2346: $i,SY2347: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SY2341 @ SY2342 @ ( c_Expr_Oexp_OFAcc @ SY2343 @ SY2344 @ SY2345 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2346 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY2347 @ SY2344 @ SY2346 @ SY2345 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SY2341 @ SY2342 @ SY2343 @ ( c_Type_Oty_OClass @ SY2347 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[768]) ).

thf(1013,plain,
    ! [SV166: $i] :
      ( ( ! [SY2348: $i] : ( c_fequal @ SV166 @ SV166 @ SY2348 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[771]) ).

thf(1014,plain,
    ! [SV167: $i] :
      ( ( ! [SY2349: $i,SY2350: $i] :
            ( ( SV167 = SY2349 )
            | ~ ( c_fequal @ SV167 @ SY2349 @ SY2350 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[772]) ).

thf(1015,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(1016,plain,
    ! [SV168: $i] :
      ( ( ! [SY2351: $i,SY2352: $i,SY2353: $i,SY2354: $i,SY2355: $i,SY2356: $i,SY2357: $i,SY2358: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2351 @ SV168 @ SY2352 @ SY2353 ) )
             != ( hAPP @ SY2352 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2351 @ SV168 @ SY2352 @ SY2353 ) ) )
            | ( SY2351 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SY2354 @ SY2355 @ SY2356 @ SY2357 @ SV168 @ SY2351 @ SY2353 )
              = ( c_Type_Oty_Oty__case @ SY2354 @ SY2355 @ SY2356 @ SY2358 @ SY2352 @ SY2351 @ SY2353 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[774]) ).

thf(1017,plain,
    ! [SV169: $i] :
      ( ( c_Type_Oty_OInteger
       != ( c_Type_Oty_OClass @ SV169 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[775]) ).

thf(1018,plain,
    ! [SV170: $i] :
      ( ( ! [SY2359: $i,SY2360: $i,SY2361: $i,SY2362: $i,SY2363: $i,SY2364: $i,SY2365: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SY2359 @ SY2360 @ SY2361 @ SY2362 )
           != ( c_Expr_Oexp_OFAcc @ SY2363 @ SY2364 @ SY2365 @ SY2362 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[776]) ).

thf(1019,plain,
    ( ( c_Type_Oty_OInteger = c_Type_Oty_ONT )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[777]) ).

thf(1020,plain,
    ! [SV171: $i] :
      ( ( ! [SY2366: $i,SY2367: $i,SY2368: $i,SY2369: $i] :
            ( ( c_Expr_Oexp_Onew @ SV171 @ SY2366 )
           != ( c_Expr_Oexp_OFAcc @ SY2367 @ SY2368 @ SY2369 @ SY2366 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[778]) ).

thf(1021,plain,
    ! [SV172: $i] :
      ( ( ! [SY2370: $i,SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i,SY2375: $i,SY2376: $i,SY2377: $i,SY2378: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2370 @ SV172 @ SY2371 @ SY2372 ) )
             != ( hAPP @ SY2371 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2370 @ SV172 @ SY2371 @ SY2372 ) ) )
            | ( SY2370 = c_Type_Oty_ONT )
            | ( SY2370 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY2373 @ SY2374 @ SY2375 @ SY2376 @ SV172 @ SY2370 @ SY2372 )
              = ( c_Type_Oty_Oty__case @ SY2373 @ SY2374 @ SY2377 @ SY2378 @ SY2371 @ SY2370 @ SY2372 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[779]) ).

thf(1022,plain,
    ! [SV173: $i] :
      ( ( ! [SY2379: $i,SY2380: $i,SY2381: $i,SY2382: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SY2379 @ SY2380 )
             != ( c_Expr_Oexp_OSeq @ SY2381 @ SY2382 @ SY2380 ) )
            | ( SY2379 = SY2382 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[780]) ).

thf(1023,plain,
    ! [SV174: $i] :
      ( ( ! [SY2383: $i,SY2384: $i,SY2385: $i,SY2386: $i,SY2387: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV174 @ SY2383 @ SY2384 )
           != ( c_Expr_Oexp_OFAcc @ SY2385 @ SY2386 @ SY2387 @ SY2384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[781]) ).

thf(1024,plain,
    ! [SV175: $i] :
      ( ( ! [SY2388: $i,SY2389: $i,SY2390: $i,SY2391: $i,SY2392: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV175 @ SY2388 @ SY2389 @ SY2390 @ SY2391 )
           != ( c_Expr_Oexp_Onew @ SY2392 @ SY2391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[782]) ).

thf(1025,plain,
    ! [SV176: $i] :
      ( ( ! [SY2393: $i,SY2394: $i,SY2395: $i,SY2396: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV176 @ SY2393 @ SY2394 )
           != ( c_Expr_Oexp_OCast @ SY2395 @ SY2396 @ SY2394 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[783]) ).

thf(1026,plain,
    ! [SV177: $i] :
      ( ( ! [SY2397: $i,SY2398: $i,SY2399: $i,SY2400: $i,SY2401: $i,SY2402: $i,SY2403: $i,SY2404: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2397 @ SV177 @ SY2398 @ SY2399 ) )
             != ( hAPP @ SY2398 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2397 @ SV177 @ SY2398 @ SY2399 ) ) )
            | ( SY2397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2400 @ SY2401 @ SY2402 @ SY2403 @ SV177 @ SY2397 @ SY2399 )
              = ( c_Type_Oty_Oty__case @ SY2404 @ SY2401 @ SY2402 @ SY2403 @ SY2398 @ SY2397 @ SY2399 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[784]) ).

thf(1027,plain,
    ! [SV178: $i] :
      ( ( ! [SY2405: $i,SY2406: $i,SY2407: $i,SY2408: $i,SY2409: $i,SY2410: $i,SY2411: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2405 @ SV178 @ SY2406 @ SY2407 ) )
             != ( hAPP @ SY2406 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2405 @ SV178 @ SY2406 @ SY2407 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SY2408 @ SY2409 @ SY2410 @ SY2411 @ SV178 @ SY2405 @ SY2407 )
              = ( c_Type_Oty_Oty__case @ SY2408 @ SY2409 @ SY2410 @ SY2411 @ SY2406 @ SY2405 @ SY2407 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[785]) ).

thf(1028,plain,
    ( ( c_Type_Oty_OInteger = c_Type_Oty_OBoolean )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[786]) ).

thf(1029,plain,
    ! [SV179: $i] :
      ( ( ! [SY2412: $i,SY2413: $i,SY2414: $i,SY2415: $i,SY2416: $i,SY2417: $i,SY2418: $i,SY2419: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SY2412 @ SY2413 @ SY2414 @ SY2415 )
             != ( c_Expr_Oexp_OFAss @ SY2416 @ SY2417 @ SY2418 @ SY2419 @ SY2415 ) )
            | ( SV179 = SY2416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[787]) ).

thf(1030,plain,
    ! [SV180: $i] :
      ( ( ! [SY2420: $i,SY2421: $i,SY2422: $i,SY2423: $i,SY2424: $i,SY2425: $i] :
            ( ( c_Expr_Oexp_OCast @ SV180 @ SY2420 @ SY2421 )
           != ( c_Expr_Oexp_OFAss @ SY2422 @ SY2423 @ SY2424 @ SY2425 @ SY2421 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[788]) ).

thf(1031,plain,
    ! [SV181: $i] :
      ( ( ! [SY2426: $i,SY2427: $i,SY2428: $i,SY2429: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV181 @ SY2426 @ SY2427 )
             != ( c_Expr_Oexp_OCast @ SY2428 @ SY2429 @ SY2427 ) )
            | ( SY2426 = SY2429 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[789]) ).

thf(1032,plain,
    ( ( c_Type_Oty_ONT = c_Type_Oty_OInteger )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(1033,plain,
    ! [SV182: $i] :
      ( ( ! [SY2430: $i,SY2431: $i,SY2432: $i,SY2433: $i,SY2434: $i,SY2435: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SY2430 @ SY2431 @ SY2432 )
             != ( c_Expr_Oexp_OFAcc @ SY2433 @ SY2434 @ SY2435 @ SY2432 ) )
            | ( SY2431 = SY2435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[791]) ).

thf(1034,plain,
    ! [SV183: $i] :
      ( ( ! [SY2436: $i,SY2437: $i,SY2438: $i,SY2439: $i,SY2440: $i] :
            ( ( ( c_Pair @ SV183 @ SY2436 @ SY2437 @ SY2438 )
             != ( c_Pair @ SY2439 @ SY2440 @ SY2437 @ SY2438 ) )
            | ( SV183 = SY2439 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[792]) ).

thf(1035,plain,
    ( ( c_Type_Oty_OInteger = c_Type_Oty_OVoid )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[793]) ).

thf(1036,plain,
    ! [SV184: $i] :
      ( ( c_Type_Oty_OVoid
       != ( c_Type_Oty_OClass @ SV184 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[794]) ).

thf(1037,plain,
    ! [SV185: $i] :
      ( ( ! [SY2441: $i,SY2442: $i,SY2443: $i,SY2444: $i,SY2445: $i,SY2446: $i,SY2447: $i,SY2448: $i,SY2449: $i,SY2450: $i,SY2451: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2441 @ SV185 @ SY2442 @ SY2443 ) )
             != ( hAPP @ SY2442 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2441 @ SV185 @ SY2442 @ SY2443 ) ) )
            | ( SY2441 = c_Type_Oty_ONT )
            | ( SY2441 = c_Type_Oty_OInteger )
            | ( SY2441 = c_Type_Oty_OBoolean )
            | ( SY2441 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2444 @ SY2445 @ SY2446 @ SY2447 @ SV185 @ SY2441 @ SY2443 )
              = ( c_Type_Oty_Oty__case @ SY2448 @ SY2449 @ SY2450 @ SY2451 @ SY2442 @ SY2441 @ SY2443 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[795]) ).

thf(1038,plain,
    ! [SV186: $i] :
      ( ( ! [SY2452: $i,SY2453: $i,SY2454: $i] :
            ( ( c_Expr_Oexp_Onew @ SV186 @ SY2452 )
           != ( c_Expr_Oexp_OSeq @ SY2453 @ SY2454 @ SY2452 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[796]) ).

thf(1039,plain,
    ! [SV187: $i] :
      ( ( ! [SY2455: $i,SY2456: $i,SY2457: $i,SY2458: $i] :
            ( ( c_Expr_Oexp_OCast @ SV187 @ SY2455 @ SY2456 )
           != ( c_Expr_Oexp_OSeq @ SY2457 @ SY2458 @ SY2456 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[797]) ).

thf(1040,plain,
    ! [SV188: $i] :
      ( ( ! [SY2459: $i,SY2460: $i,SY2461: $i,SY2462: $i,SY2463: $i] :
            ( ( c_Expr_Oexp_OCast @ SV188 @ SY2459 @ SY2460 )
           != ( c_Expr_Oexp_OFAcc @ SY2461 @ SY2462 @ SY2463 @ SY2460 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[798]) ).

thf(1041,plain,
    ! [SV189: $i] :
      ( ( ! [SY2464: $i,SY2465: $i,SY2466: $i,SY2467: $i,SY2468: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV189 @ SY2464 @ SY2465 @ SY2466 )
           != ( c_Expr_Oexp_OSeq @ SY2467 @ SY2468 @ SY2466 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[799]) ).

thf(1042,plain,
    ! [SV190: $i] :
      ( ( ! [SY2469: $i,SY2470: $i,SY2471: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV190 @ SY2469 @ SY2470 )
           != ( c_Expr_Oexp_Onew @ SY2471 @ SY2470 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[800]) ).

thf(1043,plain,
    ( ( c_Type_Oty_ONT = c_Type_Oty_OBoolean )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(1044,plain,
    ! [SV191: $i] :
      ( ( ! [SY2472: $i,SY2473: $i,SY2474: $i,SY2475: $i,SY2476: $i,SY2477: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV191 @ SY2472 @ SY2473 @ SY2474 @ SY2475 )
           != ( c_Expr_Oexp_OCast @ SY2476 @ SY2477 @ SY2475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[802]) ).

thf(1045,plain,
    ! [SV192: $i] :
      ( ( ! [SY2478: $i,SY2479: $i] :
            ( ( ( c_Expr_Oexp_Onew @ SV192 @ SY2478 )
             != ( c_Expr_Oexp_Onew @ SY2479 @ SY2478 ) )
            | ( SV192 = SY2479 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[803]) ).

thf(1046,plain,
    ! [SV193: $i] :
      ( ( ! [SY2480: $i,SY2481: $i,SY2482: $i,SY2483: $i,SY2484: $i,SY2485: $i,SY2486: $i,SY2487: $i,SY2488: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2480 @ SV193 @ SY2481 @ SY2482 ) )
             != ( hAPP @ SY2481 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2480 @ SV193 @ SY2481 @ SY2482 ) ) )
            | ( SY2480 = c_Type_Oty_OInteger )
            | ( SY2480 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY2483 @ SY2484 @ SY2485 @ SY2486 @ SV193 @ SY2480 @ SY2482 )
              = ( c_Type_Oty_Oty__case @ SY2483 @ SY2487 @ SY2488 @ SY2486 @ SY2481 @ SY2480 @ SY2482 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[804]) ).

thf(1047,plain,
    ! [SV194: $i] :
      ( ( ! [SY2489: $i,SY2490: $i,SY2491: $i,SY2492: $i,SY2493: $i,SY2494: $i,SY2495: $i,SY2496: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SY2489 @ SY2490 @ SY2491 @ SY2492 )
             != ( c_Expr_Oexp_OFAss @ SY2493 @ SY2494 @ SY2495 @ SY2496 @ SY2492 ) )
            | ( SY2489 = SY2494 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[805]) ).

thf(1048,plain,
    ( ( c_Type_Oty_OBoolean = c_Type_Oty_OVoid )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[806]) ).

thf(1049,plain,
    ! [SV195: $i] :
      ( ( ! [SY2497: $i,SY2498: $i,SY2499: $i,SY2500: $i,SY2501: $i] :
            ( ( c_Expr_Oexp_Onew @ SV195 @ SY2497 )
           != ( c_Expr_Oexp_OFAss @ SY2498 @ SY2499 @ SY2500 @ SY2501 @ SY2497 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[807]) ).

thf(1050,plain,
    ! [SV196: $i] :
      ( ( ! [SY2502: $i,SY2503: $i,SY2504: $i,SY2505: $i,SY2506: $i,SY2507: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SY2502 @ SY2503 @ SY2504 )
             != ( c_Expr_Oexp_OFAcc @ SY2505 @ SY2506 @ SY2507 @ SY2504 ) )
            | ( SY2502 = SY2506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[808]) ).

thf(1051,plain,
    ! [SV197: $i] :
      ( ( ! [SY2508: $i,SY2509: $i,SY2510: $i,SY2511: $i,SY2512: $i,SY2513: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV197 @ SY2508 @ SY2509 @ SY2510 @ SY2511 )
           != ( c_Expr_Oexp_OSeq @ SY2512 @ SY2513 @ SY2511 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[809]) ).

thf(1052,plain,
    ! [SV198: $i] :
      ( ( ! [SY2514: $i,SY2515: $i,SY2516: $i,SY2517: $i,SY2518: $i,SY2519: $i,SY2520: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SY2514 @ SY2515 @ SY2516 )
           != ( c_Expr_Oexp_OFAss @ SY2517 @ SY2518 @ SY2519 @ SY2520 @ SY2516 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[810]) ).

thf(1053,plain,
    ! [SV199: $i] :
      ( ( ! [SY2521: $i,SY2522: $i,SY2523: $i,SY2524: $i,SY2525: $i,SY2526: $i,SY2527: $i,SY2528: $i,SY2529: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2521 @ SV199 @ SY2522 @ SY2523 ) )
             != ( hAPP @ SY2522 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2521 @ SV199 @ SY2522 @ SY2523 ) ) )
            | ( SY2521 = c_Type_Oty_ONT )
            | ( SY2521 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2524 @ SY2525 @ SY2526 @ SY2527 @ SV199 @ SY2521 @ SY2523 )
              = ( c_Type_Oty_Oty__case @ SY2528 @ SY2525 @ SY2526 @ SY2529 @ SY2522 @ SY2521 @ SY2523 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[811]) ).

thf(1054,plain,
    ! [SV200: $i] :
      ( ( ! [SY2530: $i,SY2531: $i,SY2532: $i,SY2533: $i,SY2534: $i,SY2535: $i,SY2536: $i,SY2537: $i,SY2538: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2530 @ SV200 @ SY2531 @ SY2532 ) )
             != ( hAPP @ SY2531 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2530 @ SV200 @ SY2531 @ SY2532 ) ) )
            | ( SY2530 = c_Type_Oty_ONT )
            | ( SY2530 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY2533 @ SY2534 @ SY2535 @ SY2536 @ SV200 @ SY2530 @ SY2532 )
              = ( c_Type_Oty_Oty__case @ SY2533 @ SY2537 @ SY2535 @ SY2538 @ SY2531 @ SY2530 @ SY2532 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[812]) ).

thf(1055,plain,
    ! [SV201: $i] :
      ( ( ( c_Type_Oty_OClass @ SV201 )
       != c_Type_Oty_OBoolean )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[813]) ).

thf(1056,plain,
    ( ( c_Type_Oty_OVoid = c_Type_Oty_OInteger )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(1057,plain,
    ! [SV202: $i] :
      ( ( ! [SY2539: $i,SY2540: $i,SY2541: $i,SY2542: $i,SY2543: $i,SY2544: $i,SY2545: $i,SY2546: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SY2539 @ SY2540 @ SY2541 @ SY2542 )
             != ( c_Expr_Oexp_OFAss @ SY2543 @ SY2544 @ SY2545 @ SY2546 @ SY2542 ) )
            | ( SY2541 = SY2546 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[815]) ).

thf(1058,plain,
    ! [SV203: $i] :
      ( ( ! [SY2547: $i,SY2548: $i,SY2549: $i,SY2550: $i,SY2551: $i,SY2552: $i,SY2553: $i,SY2554: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SY2547 @ SY2548 @ SY2549 @ SY2550 )
             != ( c_Expr_Oexp_OFAss @ SY2551 @ SY2552 @ SY2553 @ SY2554 @ SY2550 ) )
            | ( SY2548 = SY2553 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[816]) ).

thf(1059,plain,
    ! [SV204: $i] :
      ( ( ! [SY2555: $i,SY2556: $i,SY2557: $i,SY2558: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV204 @ SY2555 @ SY2556 )
             != ( c_Expr_Oexp_OCast @ SY2557 @ SY2558 @ SY2556 ) )
            | ( SV204 = SY2557 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[817]) ).

thf(1060,plain,
    ! [SV205: $i] :
      ( ( ( c_Type_Oty_OClass @ SV205 )
       != c_Type_Oty_OVoid )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[818]) ).

thf(1061,plain,
    ! [SV206: $i] :
      ( ( ! [SY2559: $i,SY2560: $i,SY2561: $i,SY2562: $i,SY2563: $i,SY2564: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SY2559 @ SY2560 @ SY2561 )
             != ( c_Expr_Oexp_OFAcc @ SY2562 @ SY2563 @ SY2564 @ SY2561 ) )
            | ( SV206 = SY2562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[819]) ).

thf(1062,plain,
    ( ( c_Type_Oty_OVoid = c_Type_Oty_ONT )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[820]) ).

thf(1063,plain,
    ( ( c_Type_Oty_OBoolean = c_Type_Oty_ONT )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[821]) ).

thf(1064,plain,
    ( ( c_Type_Oty_ONT = c_Type_Oty_OVoid )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(1065,plain,
    ! [SV207: $i] :
      ( ( ( c_Type_Oty_OClass @ SV207 )
       != c_Type_Oty_ONT )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[823]) ).

thf(1066,plain,
    ! [SV208: $i] :
      ( ( ! [SY2565: $i,SY2566: $i,SY2567: $i,SY2568: $i,SY2569: $i,SY2570: $i,SY2571: $i,SY2572: $i,SY2573: $i,SY2574: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2565 @ SV208 @ SY2566 @ SY2567 ) )
             != ( hAPP @ SY2566 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2565 @ SV208 @ SY2566 @ SY2567 ) ) )
            | ( SY2565 = c_Type_Oty_ONT )
            | ( SY2565 = c_Type_Oty_OInteger )
            | ( SY2565 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY2568 @ SY2569 @ SY2570 @ SY2571 @ SV208 @ SY2565 @ SY2567 )
              = ( c_Type_Oty_Oty__case @ SY2568 @ SY2572 @ SY2573 @ SY2574 @ SY2566 @ SY2565 @ SY2567 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[824]) ).

thf(1067,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      = $true )
    | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[825]) ).

thf(1068,plain,
    ! [SV209: $i] :
      ( ( ! [SY2575: $i,SY2576: $i,SY2577: $i,SY2578: $i,SY2579: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV209 @ SY2575 @ SY2576 @ SY2577 )
           != ( c_Expr_Oexp_OCast @ SY2578 @ SY2579 @ SY2577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[826]) ).

thf(1069,plain,
    ! [SV210: $i] :
      ( ( ( c_Type_Oty_OClass @ SV210 )
       != c_Type_Oty_OInteger )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[827]) ).

thf(1070,plain,
    ! [SV211: $i] :
      ( ( ! [SY2580: $i,SY2581: $i,SY2582: $i,SY2583: $i,SY2584: $i,SY2585: $i,SY2586: $i,SY2587: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2580 @ SV211 @ SY2581 @ SY2582 ) )
             != ( hAPP @ SY2581 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2580 @ SV211 @ SY2581 @ SY2582 ) ) )
            | ( SY2580 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY2583 @ SY2584 @ SY2585 @ SY2586 @ SV211 @ SY2580 @ SY2582 )
              = ( c_Type_Oty_Oty__case @ SY2583 @ SY2587 @ SY2585 @ SY2586 @ SY2581 @ SY2580 @ SY2582 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[828]) ).

thf(1071,plain,
    ! [SV212: $i] :
      ( ( c_Type_Oty_OBoolean
       != ( c_Type_Oty_OClass @ SV212 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[829]) ).

thf(1072,plain,
    ! [SV213: $i] :
      ( ( ! [SY2588: $i,SY2589: $i,SY2590: $i,SY2591: $i,SY2592: $i,SY2593: $i,SY2594: $i,SY2595: $i,SY2596: $i,SY2597: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2588 @ SV213 @ SY2589 @ SY2590 ) )
             != ( hAPP @ SY2589 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2588 @ SV213 @ SY2589 @ SY2590 ) ) )
            | ( SY2588 = c_Type_Oty_ONT )
            | ( SY2588 = c_Type_Oty_OBoolean )
            | ( SY2588 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2591 @ SY2592 @ SY2593 @ SY2594 @ SV213 @ SY2588 @ SY2590 )
              = ( c_Type_Oty_Oty__case @ SY2595 @ SY2596 @ SY2593 @ SY2597 @ SY2589 @ SY2588 @ SY2590 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[830]) ).

thf(1073,plain,
    ( ( c_Type_Oty_OVoid = c_Type_Oty_OBoolean )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(1074,plain,
    ! [SV214: $i] :
      ( ( ! [SY2598: $i] :
            ( ( ( c_Type_Oty_OClass @ SV214 )
             != ( c_Type_Oty_OClass @ SY2598 ) )
            | ( SV214 = SY2598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[832]) ).

thf(1075,plain,
    ! [SV215: $i] :
      ( ( ! [SY2599: $i,SY2600: $i,SY2601: $i] :
            ( ( c_Expr_Oexp_Onew @ SV215 @ SY2599 )
           != ( c_Expr_Oexp_OCast @ SY2600 @ SY2601 @ SY2599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(1076,plain,
    ! [SV216: $i] :
      ( ( ! [SY2602: $i,SY2603: $i,SY2604: $i,SY2605: $i,SY2606: $i,SY2607: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV216 @ SY2602 @ SY2603 )
           != ( c_Expr_Oexp_OFAss @ SY2604 @ SY2605 @ SY2606 @ SY2607 @ SY2603 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[834]) ).

thf(1077,plain,
    ! [SV217: $i] :
      ( ( ! [SY2608: $i,SY2609: $i,SY2610: $i,SY2611: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SY2608 @ SY2609 )
             != ( c_Expr_Oexp_OSeq @ SY2610 @ SY2611 @ SY2609 ) )
            | ( SV217 = SY2610 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[835]) ).

thf(1078,plain,
    ! [SV218: $i] :
      ( ( ! [SY2612: $i,SY2613: $i,SY2614: $i,SY2615: $i,SY2616: $i,SY2617: $i,SY2618: $i,SY2619: $i,SY2620: $i,SY2621: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2612 @ SV218 @ SY2613 @ SY2614 ) )
             != ( hAPP @ SY2613 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2612 @ SV218 @ SY2613 @ SY2614 ) ) )
            | ( SY2612 = c_Type_Oty_OInteger )
            | ( SY2612 = c_Type_Oty_OBoolean )
            | ( SY2612 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2615 @ SY2616 @ SY2617 @ SY2618 @ SV218 @ SY2612 @ SY2614 )
              = ( c_Type_Oty_Oty__case @ SY2619 @ SY2620 @ SY2621 @ SY2618 @ SY2613 @ SY2612 @ SY2614 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[836]) ).

thf(1079,plain,
    ! [SV219: $i] :
      ( ( ! [SY2622: $i,SY2623: $i,SY2624: $i] :
            ( ( c_Expr_Oexp_OCast @ SV219 @ SY2622 @ SY2623 )
           != ( c_Expr_Oexp_Onew @ SY2624 @ SY2623 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[837]) ).

thf(1080,plain,
    ! [SV220: $i] :
      ( ( c_Type_Oty_ONT
       != ( c_Type_Oty_OClass @ SV220 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[838]) ).

thf(1081,plain,
    ( ( c_Type_Oty_OBoolean = c_Type_Oty_OInteger )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(1082,plain,
    ! [SV221: $i] :
      ( ( ! [SY2625: $i,SY2626: $i,SY2627: $i,SY2628: $i,SY2629: $i] :
            ( ( ( c_Pair @ SV221 @ SY2625 @ SY2626 @ SY2627 )
             != ( c_Pair @ SY2628 @ SY2629 @ SY2626 @ SY2627 ) )
            | ( SY2625 = SY2629 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[840]) ).

thf(1083,plain,
    ! [SV222: $i] :
      ( ( ! [SY2630: $i,SY2631: $i,SY2632: $i,SY2633: $i,SY2634: $i,SY2635: $i,SY2636: $i,SY2637: $i,SY2638: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2630 @ SV222 @ SY2631 @ SY2632 ) )
             != ( hAPP @ SY2631 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2630 @ SV222 @ SY2631 @ SY2632 ) ) )
            | ( SY2630 = c_Type_Oty_OInteger )
            | ( SY2630 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2633 @ SY2634 @ SY2635 @ SY2636 @ SV222 @ SY2630 @ SY2632 )
              = ( c_Type_Oty_Oty__case @ SY2637 @ SY2634 @ SY2638 @ SY2636 @ SY2631 @ SY2630 @ SY2632 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[841]) ).

thf(1084,plain,
    ! [SV223: $i] :
      ( ( ! [SY2639: $i,SY2640: $i,SY2641: $i,SY2642: $i,SY2643: $i,SY2644: $i,SY2645: $i,SY2646: $i,SY2647: $i,SY2648: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2639 @ SV223 @ SY2640 @ SY2641 ) )
             != ( hAPP @ SY2640 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2639 @ SV223 @ SY2640 @ SY2641 ) ) )
            | ( SY2639 = c_Type_Oty_ONT )
            | ( SY2639 = c_Type_Oty_OInteger )
            | ( SY2639 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2642 @ SY2643 @ SY2644 @ SY2645 @ SV223 @ SY2639 @ SY2641 )
              = ( c_Type_Oty_Oty__case @ SY2646 @ SY2643 @ SY2647 @ SY2648 @ SY2640 @ SY2639 @ SY2641 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[842]) ).

thf(1085,plain,
    ( ( ( v_U____ != c_Type_Oty_ONT )
      = $true )
    | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[843]) ).

thf(1086,plain,
    ! [SV224: $i] :
      ( ( ! [SY2649: $i,SY2650: $i,SY2651: $i,SY2652: $i,SY2653: $i,SY2654: $i,SY2655: $i,SY2656: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2649 @ SV224 @ SY2650 @ SY2651 ) )
             != ( hAPP @ SY2650 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2649 @ SV224 @ SY2650 @ SY2651 ) ) )
            | ( SY2649 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY2652 @ SY2653 @ SY2654 @ SY2655 @ SV224 @ SY2649 @ SY2651 )
              = ( c_Type_Oty_Oty__case @ SY2652 @ SY2653 @ SY2656 @ SY2655 @ SY2650 @ SY2649 @ SY2651 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(1087,plain,
    ! [SV225: $i] :
      ( ( ! [SY2657: $i,SY2658: $i,SY2659: $i,SY2660: $i,SY2661: $i,SY2662: $i,SY2663: $i,SY2664: $i,SY2665: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2657 @ SV225 @ SY2658 @ SY2659 ) )
             != ( hAPP @ SY2658 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2657 @ SV225 @ SY2658 @ SY2659 ) ) )
            | ( SY2657 = c_Type_Oty_OBoolean )
            | ( SY2657 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY2660 @ SY2661 @ SY2662 @ SY2663 @ SV225 @ SY2657 @ SY2659 )
              = ( c_Type_Oty_Oty__case @ SY2664 @ SY2665 @ SY2662 @ SY2663 @ SY2658 @ SY2657 @ SY2659 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[845]) ).

thf(1088,plain,
    ! [SV226: $i] :
      ( ( ! [SY2666: $i,SY2667: $i,SY2668: $i,SY2669: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV226 @ SY2666 @ SY2667 @ SY2668 )
           != ( c_Expr_Oexp_Onew @ SY2669 @ SY2668 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[846]) ).

thf(1089,plain,
    ! [SV227: $i,SV1: $i] :
      ( ( ! [SY2670: $i,SY2671: $i,SY2672: $i,SY2673: $i,SY2674: $i,SY2675: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY2670 @ SY2671 @ SY2672 @ SV227 @ SY2673 @ SY2674 @ SY2675 ) @ SY2672 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SY2670 @ SY2671 @ SY2672 @ SV227 @ SY2673 @ SY2674 @ SY2675 ) @ SY2670 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SY2674 @ SY2671 @ ( c_Expr_Oexp_OFAss @ SY2673 @ SY2672 @ SY2670 @ SY2675 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[848]) ).

thf(1090,plain,
    ! [SV228: $i,SV2: $i] :
      ( ( ! [SY2676: $i,SY2677: $i,SY2678: $i,SY2679: $i,SY2680: $i,SY2681: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SY2676 @ SY2677 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY2678 @ SY2676 @ SY2679 @ SV2 @ SY2677 @ SV228 @ SY2680 ) @ SY2679 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SY2678 @ SY2676 @ SY2679 @ SV2 @ SY2677 @ SV228 @ SY2680 ) @ SY2678 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SY2676 @ ( c_Expr_Oexp_OFAss @ SY2677 @ SY2679 @ SY2678 @ SY2680 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2681 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(1091,plain,
    ! [SV229: $i,SV3: $i] :
      ( ( ! [SY2682: $i,SY2683: $i,SY2684: $i,SY2685: $i] :
            ( ( c_WellType_OWT @ SV3 @ SV229 @ SY2682 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SY2683 @ SV229 @ SY2684 @ SV3 @ SY2685 @ SY2682 ) ) )
            | ~ ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SY2682 @ SY2684 @ SY2683 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2685 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[850]) ).

thf(1092,plain,
    ! [SV4: $i] :
      ( ( ( SV4
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 = c_Type_Oty_ONT )
          | ( SV4 = c_Type_Oty_OInteger )
          | ( SV4 = c_Type_Oty_OBoolean )
          | ( SV4 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[851]) ).

thf(1093,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        | ~ ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
        | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
        | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[852]) ).

thf(1094,plain,
    ! [SV6: $i] :
      ( ( ( SV6
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 = c_Type_Oty_ONT )
          | ( SV6 = c_Type_Oty_OInteger )
          | ( SV6 = c_Type_Oty_OBoolean )
          | ( SV6 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(1095,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        | ~ ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
        | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
        | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[854]) ).

thf(1096,plain,
    ! [SV232: $i,SV8: $i] :
      ( ( ! [SY2686: $i,SY2687: $i,SY2688: $i,SY2689: $i,SY2690: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SY2686 @ SY2687 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY2688 @ SY2686 @ SY2689 @ SV8 @ SY2690 @ SY2687 @ SV232 ) @ SY2689 @ SY2690 @ SY2688 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SY2686 @ ( c_Expr_Oexp_OFAcc @ SY2687 @ SY2689 @ SY2688 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2690 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[855]) ).

thf(1097,plain,
    ! [SV233: $i,SV9: $i] :
      ( ( ! [SY2691: $i,SY2692: $i,SY2693: $i,SY2694: $i,SY2695: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SY2691 @ SY2692 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SY2691 @ SY2692 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY2693 @ SY2691 @ SY2694 @ SV9 @ SY2695 @ SY2692 @ SV233 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SY2691 @ ( c_Expr_Oexp_OFAcc @ SY2692 @ SY2694 @ SY2693 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2695 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[856]) ).

thf(1098,plain,
    ! [SV234: $i,SV10: $i] :
      ( ( ! [SY2696: $i,SY2697: $i,SY2698: $i,SY2699: $i,SY2700: $i,SY2701: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SV234 @ SY2696 @ SY2697 @ SY2698 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY2699 @ SY2697 @ SY2700 @ SV234 @ SY2698 @ SY2696 @ SY2701 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SY2696 @ SY2697 @ ( c_Expr_Oexp_OFAss @ SY2698 @ SY2700 @ SY2699 @ SY2701 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[857]) ).

thf(1099,plain,
    ! [SV235: $i,SV11: $i] :
      ( ( ! [SY2702: $i,SY2703: $i,SY2704: $i,SY2705: $i,SY2706: $i,SY2707: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SY2702 @ SY2703 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SY2702 @ SY2703 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY2704 @ SY2702 @ SY2705 @ SV11 @ SY2703 @ SV235 @ SY2706 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SY2702 @ ( c_Expr_Oexp_OFAss @ SY2703 @ SY2705 @ SY2704 @ SY2706 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2707 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[858]) ).

thf(1100,plain,
    ! [SV236: $i,SV12: $i] :
      ( ( ! [SY2708: $i,SY2709: $i,SY2710: $i,SY2711: $i,SY2712: $i] :
            ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SY2708 @ SY2709 @ SY2710 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2711 )
            | ~ ( c_TypeRel_Osees__field @ SV12 @ SY2712 @ SY2709 @ SY2711 @ SY2710 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SY2708 @ ( c_Type_Oty_OClass @ SY2712 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[859]) ).

thf(1101,plain,
    ! [SV237: $i,SV13: $i] :
      ( ( ! [SY2713: $i,SY2714: $i,SY2715: $i,SY2716: $i] :
            ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SY2713 @ SY2714 @ SV237 @ SY2715 )
            | ~ ( c_TypeRel_Osees__field @ SV13 @ SY2716 @ SY2713 @ SY2714 @ SV237 @ SY2715 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[860]) ).

thf(1102,plain,
    ! [SV238: $i,SV14: $i] :
      ( ( ! [SY2717: $i,SY2718: $i,SY2719: $i,SY2720: $i] :
            ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SY2717 @ SY2718 @ SY2719 @ SY2720 )
            | ~ ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SY2717 @ SY2718 @ SY2719 @ SY2720 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[861]) ).

thf(1103,plain,
    ! [SV239: $i,SV15: $i] :
      ( ( ! [SY2721: $i,SY2722: $i,SY2723: $i,SY2724: $i] :
            ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SY2721 @ SY2722 @ SV15 @ SY2723 @ SY2724 ) @ SY2722 @ SY2723 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV15 @ SY2721 @ ( c_Expr_Oexp_OFAcc @ SY2724 @ SY2722 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2723 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[862]) ).

thf(1104,plain,
    ! [SV240: $i,SV16: $i] :
      ( ( ! [SY2725: $i,SY2726: $i,SY2727: $i,SY2728: $i,SY2729: $i,SY2730: $i] :
            ( ( SV16 = SV240 )
            | ~ ( c_TypeRel_Osees__field @ SY2725 @ SY2726 @ SY2727 @ SV16 @ SY2728 @ SY2729 )
            | ~ ( c_TypeRel_Osees__field @ SY2725 @ SY2726 @ SY2727 @ SV240 @ SY2730 @ SY2729 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[863]) ).

thf(1105,plain,
    ! [SV241: $i,SV17: $i] :
      ( ( ! [SY2731: $i,SY2732: $i,SY2733: $i,SY2734: $i,SY2735: $i,SY2736: $i] :
            ( ( SV17 = SV241 )
            | ~ ( c_TypeRel_Osees__field @ SY2731 @ SY2732 @ SY2733 @ SY2734 @ SV17 @ SY2735 )
            | ~ ( c_TypeRel_Osees__field @ SY2731 @ SY2732 @ SY2733 @ SY2736 @ SV241 @ SY2735 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[864]) ).

thf(1106,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        | ~ ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
        | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
        | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[865]) ).

thf(1107,plain,
    ! [SV243: $i,SV19: $i] :
      ( ( ! [SY2737: $i,SY2738: $i,SY2739: $i,SY2740: $i,SY2741: $i,SY2742: $i,SY2743: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SY2737 @ SY2738 @ SY2739 @ SY2740 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SY2741 @ SY2742 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SY2740 @ SY2741 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY2743 @ SY2738 @ SY2742 @ SY2739 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SY2737 @ ( c_Type_Oty_OClass @ SY2743 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[866]) ).

thf(1108,plain,
    ! [SV244: $i,SV20: $i] :
      ( ( ! [SY2744: $i,SY2745: $i,SY2746: $i,SY2747: $i,SY2748: $i] :
            ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SY2744 @ SY2745 @ SY2746 @ SY2747 @ SY2748 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY2747 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SY2747 @ SY2748 ) ) ) )
            | ( SY2748 = c_Type_Oty_ONT )
            | ( SY2748 = c_Type_Oty_OInteger )
            | ( SY2748 = c_Type_Oty_OBoolean )
            | ( SY2748 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[867]) ).

thf(1109,plain,
    ! [SV245: $i,SV21: $i] :
      ( ( ! [SY2749: $i,SY2750: $i,SY2751: $i,SY2752: $i,SY2753: $i] :
            ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SY2749 @ SY2750 @ SY2751 @ SY2752 @ SY2753 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SY2752 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SY2752 @ SY2753 ) ) ) )
            | ( SY2753 = c_Type_Oty_ONT )
            | ( SY2753 = c_Type_Oty_OInteger )
            | ( SY2753 = c_Type_Oty_OBoolean )
            | ( SY2753 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[868]) ).

thf(1110,plain,
    ! [SV246: $i,SV22: $i] :
      ( ( ! [SY2754: $i,SY2755: $i,SY2756: $i,SY2757: $i,SY2758: $i] :
            ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SY2754 @ SY2755 @ SY2756 @ SY2757 @ SY2758 @ t_a ) ) )
            | ( SY2758
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SY2757 @ SY2758 ) ) )
            | ( SY2758 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV22 @ SY2755 ) )
            | ( SY2758 = c_Type_Oty_OBoolean )
            | ( SY2758 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[869]) ).

thf(1111,plain,
    ! [SV247: $i,SV23: $i] :
      ( ( ! [SY2759: $i,SY2760: $i,SY2761: $i,SY2762: $i,SY2763: $i] :
            ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SY2759 @ SY2760 @ SY2761 @ SY2762 @ SY2763 @ t_a ) ) )
            | ( SY2763
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SY2762 @ SY2763 ) ) )
            | ( SY2763 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV23 @ SY2760 ) )
            | ( SY2763 = c_Type_Oty_OBoolean )
            | ( SY2763 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[870]) ).

thf(1112,plain,
    ! [SV248: $i,SV24: $i] :
      ( ( ! [SY2764: $i,SY2765: $i,SY2766: $i,SY2767: $i,SY2768: $i,SY2769: $i,SY2770: $i,SY2771: $i,SY2772: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SY2764 @ SY2765 @ SY2766 @ SY2767 @ SV24 @ SY2768 )
              = ( c_Type_Oty_Oty__case @ SY2769 @ SY2770 @ SY2765 @ SY2771 @ SY2772 @ SV24 @ SY2768 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SY2767 @ SY2772 @ SY2768 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[871]) ).

thf(1113,plain,
    ! [SV249: $i,SV25: $i] :
      ( ( ! [SY2773: $i,SY2774: $i,SY2775: $i,SY2776: $i,SY2777: $i,SY2778: $i,SY2779: $i,SY2780: $i,SY2781: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SY2773 @ SY2774 @ SY2775 @ SY2776 @ SV25 @ SY2777 )
              = ( c_Type_Oty_Oty__case @ SY2778 @ SY2779 @ SY2780 @ SY2775 @ SY2781 @ SV25 @ SY2777 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SY2776 @ SY2781 @ SY2777 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[872]) ).

thf(1114,plain,
    ! [SV250: $i,SV26: $i] :
      ( ( ! [SY2782: $i,SY2783: $i,SY2784: $i,SY2785: $i,SY2786: $i] :
            ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SY2782 @ SY2783 @ SY2784 @ SY2785 @ SY2786 @ t_a ) ) )
            | ( SY2786
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SY2785 @ SY2786 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV26 @ SY2784 ) )
            | ( SY2786 = c_Type_Oty_OInteger )
            | ( SY2786 = c_Type_Oty_OBoolean )
            | ( SY2786 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[873]) ).

thf(1115,plain,
    ! [SV251: $i,SV27: $i] :
      ( ( ! [SY2787: $i,SY2788: $i,SY2789: $i,SY2790: $i,SY2791: $i] :
            ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SY2787 @ SY2788 @ SY2789 @ SY2790 @ SY2791 @ t_a ) ) )
            | ( SY2791
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SY2790 @ SY2791 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV27 @ SY2789 ) )
            | ( SY2791 = c_Type_Oty_OInteger )
            | ( SY2791 = c_Type_Oty_OBoolean )
            | ( SY2791 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[874]) ).

thf(1116,plain,
    ! [SV252: $i,SV28: $i] :
      ( ( ! [SY2792: $i,SY2793: $i,SY2794: $i,SY2795: $i,SY2796: $i] :
            ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SY2792 @ SY2793 @ SY2794 @ SY2795 @ SY2796 @ t_a ) ) )
            | ( SY2796
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SY2795 @ SY2796 ) ) )
            | ( SY2796 = c_Type_Oty_ONT )
            | ( SY2796 = c_Type_Oty_OInteger )
            | ( SY2796 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[875]) ).

thf(1117,plain,
    ! [SV253: $i,SV29: $i] :
      ( ( ! [SY2797: $i,SY2798: $i,SY2799: $i,SY2800: $i,SY2801: $i,SY2802: $i,SY2803: $i,SY2804: $i,SY2805: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SY2797 @ SY2798 @ SY2799 @ SY2800 @ SY2801 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY2802 @ SY2803 @ SY2804 @ SY2805 @ SY2800 @ SY2801 ) )
            | ( SY2800
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2800 @ SY2799 @ SY2805 @ SY2801 ) ) )
            | ( SY2800 = c_Type_Oty_ONT )
            | ( SY2800 = c_Type_Oty_OInteger )
            | ( SY2800 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[876]) ).

thf(1118,plain,
    ! [SV254: $i,SV30: $i] :
      ( ( ! [SY2806: $i,SY2807: $i,SY2808: $i,SY2809: $i,SY2810: $i] :
            ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SY2806 @ SY2807 @ SY2808 @ SY2809 @ SY2810 @ t_a ) ) )
            | ( SY2810
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SY2809 @ SY2810 ) ) )
            | ( SY2810 = c_Type_Oty_ONT )
            | ( SY2810 = c_Type_Oty_OInteger )
            | ( SY2810 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[877]) ).

thf(1119,plain,
    ! [SV255: $i,SV31: $i] :
      ( ( ! [SY2811: $i,SY2812: $i,SY2813: $i,SY2814: $i,SY2815: $i] :
            ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SY2811 @ SY2812 @ SY2813 @ SY2814 @ SY2815 @ t_a ) ) )
            | ( SY2815
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SY2814 @ SY2815 ) ) )
            | ( SY2815 = c_Type_Oty_ONT )
            | ( SY2815 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV31 @ SY2811 ) )
            | ( SY2815 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[878]) ).

thf(1120,plain,
    ! [SV256: $i,SV32: $i] :
      ( ( ! [SY2816: $i,SY2817: $i,SY2818: $i,SY2819: $i,SY2820: $i] :
            ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SY2816 @ SY2817 @ SY2818 @ SY2819 @ SY2820 @ t_a ) ) )
            | ( SY2820
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SY2819 @ SY2820 ) ) )
            | ( SY2820 = c_Type_Oty_ONT )
            | ( SY2820 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV32 @ SY2816 ) )
            | ( SY2820 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[879]) ).

thf(1121,plain,
    ! [SV257: $i,SV33: $i] :
      ( ( ! [SY2821: $i,SY2822: $i,SY2823: $i,SY2824: $i,SY2825: $i,SY2826: $i,SY2827: $i,SY2828: $i,SY2829: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SY2821 @ SY2822 @ SY2823 @ SY2824 @ SV33 @ SY2825 )
              = ( c_Type_Oty_Oty__case @ SY2826 @ SY2821 @ SY2827 @ SY2828 @ SY2829 @ SV33 @ SY2825 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SY2824 @ SY2829 @ SY2825 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[880]) ).

thf(1122,plain,
    ! [SV258: $i,SV34: $i] :
      ( ( ! [SY2830: $i,SY2831: $i,SY2832: $i,SY2833: $i,SY2834: $i] :
            ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SY2830 @ SY2831 @ SY2832 @ SY2833 @ SY2834 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY2833 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SY2833 @ SY2834 ) ) ) )
            | ( SY2834 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ SY2831 ) )
            | ( SY2834 = c_Type_Oty_OBoolean )
            | ( SY2834 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[881]) ).

thf(1123,plain,
    ! [SV259: $i,SV35: $i] :
      ( ( ! [SY2835: $i,SY2836: $i,SY2837: $i,SY2838: $i,SY2839: $i] :
            ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SY2835 @ SY2836 @ SY2837 @ SY2838 @ SY2839 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SY2838 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SY2838 @ SY2839 ) ) ) )
            | ( SY2839 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ SY2836 ) )
            | ( SY2839 = c_Type_Oty_OBoolean )
            | ( SY2839 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[882]) ).

thf(1124,plain,
    ! [SV260: $i,SV36: $i] :
      ( ( ! [SY2840: $i,SY2841: $i,SY2842: $i,SY2843: $i,SY2844: $i] :
            ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SY2840 @ SY2841 @ SY2842 @ SY2843 @ SY2844 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SY2843 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SY2843 @ SY2844 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ SY2842 ) )
            | ( SY2844 = c_Type_Oty_OInteger )
            | ( SY2844 = c_Type_Oty_OBoolean )
            | ( SY2844 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[883]) ).

thf(1125,plain,
    ! [SV261: $i,SV37: $i] :
      ( ( ! [SY2845: $i,SY2846: $i,SY2847: $i,SY2848: $i,SY2849: $i] :
            ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SY2845 @ SY2846 @ SY2847 @ SY2848 @ SY2849 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SY2848 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SY2848 @ SY2849 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ SY2847 ) )
            | ( SY2849 = c_Type_Oty_OInteger )
            | ( SY2849 = c_Type_Oty_OBoolean )
            | ( SY2849 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[884]) ).

thf(1126,plain,
    ! [SV262: $i,SV38: $i] :
      ( ( ! [SY2850: $i,SY2851: $i,SY2852: $i,SY2853: $i,SY2854: $i] :
            ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SY2850 @ SY2851 @ SY2852 @ SY2853 @ SY2854 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SY2853 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SY2853 @ SY2854 ) ) ) )
            | ( SY2854 = c_Type_Oty_ONT )
            | ( SY2854 = c_Type_Oty_OInteger )
            | ( SY2854 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[885]) ).

thf(1127,plain,
    ! [SV263: $i,SV39: $i] :
      ( ( ! [SY2855: $i,SY2856: $i,SY2857: $i,SY2858: $i,SY2859: $i] :
            ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SY2855 @ SY2856 @ SY2857 @ SY2858 @ SY2859 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SY2858 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SY2858 @ SY2859 ) ) ) )
            | ( SY2859 = c_Type_Oty_ONT )
            | ( SY2859 = c_Type_Oty_OInteger )
            | ( SY2859 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[886]) ).

thf(1128,plain,
    ! [SV264: $i,SV40: $i] :
      ( ( ! [SY2860: $i,SY2861: $i,SY2862: $i,SY2863: $i,SY2864: $i] :
            ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SY2860 @ SY2861 @ SY2862 @ SY2863 @ SY2864 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SY2863 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SY2863 @ SY2864 ) ) ) )
            | ( SY2864 = c_Type_Oty_ONT )
            | ( SY2864 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ SY2860 ) )
            | ( SY2864 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[887]) ).

thf(1129,plain,
    ! [SV265: $i,SV41: $i] :
      ( ( ! [SY2865: $i,SY2866: $i,SY2867: $i,SY2868: $i,SY2869: $i] :
            ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SY2865 @ SY2866 @ SY2867 @ SY2868 @ SY2869 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SY2868 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SY2868 @ SY2869 ) ) ) )
            | ( SY2869 = c_Type_Oty_ONT )
            | ( SY2869 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ SY2865 ) )
            | ( SY2869 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[888]) ).

thf(1130,plain,
    ! [SV266: $i,SV42: $i] :
      ( ( ! [SY2870: $i,SY2871: $i,SY2872: $i,SY2873: $i,SY2874: $i,SY2875: $i,SY2876: $i,SY2877: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SY2870 @ SY2871 @ SY2872 @ SY2873 @ SV42 @ SY2874 )
              = ( c_Type_Oty_Oty__case @ SY2875 @ SY2876 @ SY2871 @ SY2872 @ SY2877 @ SV42 @ SY2874 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SY2873 @ SY2877 @ SY2874 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[889]) ).

thf(1131,plain,
    ! [SV267: $i,SV43: $i] :
      ( ( ! [SY2878: $i,SY2879: $i,SY2880: $i,SY2881: $i,SY2882: $i] :
            ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SY2878 @ SY2879 @ SY2880 @ SY2881 @ SY2882 @ t_a ) ) )
            | ( SY2882
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SY2881 @ SY2882 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY2880 ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY2879 ) )
            | ( SY2882 = c_Type_Oty_OBoolean )
            | ( SY2882 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[890]) ).

thf(1132,plain,
    ! [SV268: $i,SV44: $i] :
      ( ( ! [SY2883: $i,SY2884: $i,SY2885: $i,SY2886: $i,SY2887: $i] :
            ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SY2883 @ SY2884 @ SY2885 @ SY2886 @ SY2887 @ t_a ) ) )
            | ( SY2887
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SY2886 @ SY2887 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY2885 ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY2884 ) )
            | ( SY2887 = c_Type_Oty_OBoolean )
            | ( SY2887 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[891]) ).

thf(1133,plain,
    ! [SV269: $i,SV45: $i] :
      ( ( ! [SY2888: $i,SY2889: $i,SY2890: $i,SY2891: $i,SY2892: $i] :
            ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SY2888 @ SY2889 @ SY2890 @ SY2891 @ SY2892 @ t_a ) ) )
            | ( SY2892
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SY2891 @ SY2892 ) ) )
            | ( SY2892 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SY2889 ) )
            | ( SY2892 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[892]) ).

thf(1134,plain,
    ! [SV270: $i,SV46: $i] :
      ( ( ! [SY2893: $i,SY2894: $i,SY2895: $i,SY2896: $i,SY2897: $i,SY2898: $i,SY2899: $i,SY2900: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SY2893 @ SY2894 @ SY2895 @ SY2896 @ SV46 @ SY2897 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SY2898 @ SY2894 @ SY2899 @ SY2900 @ SV46 @ SY2897 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SY2896 @ SY2900 @ SY2897 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[893]) ).

thf(1135,plain,
    ! [SV271: $i,SV47: $i] :
      ( ( ! [SY2901: $i,SY2902: $i,SY2903: $i,SY2904: $i,SY2905: $i] :
            ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SY2901 @ SY2902 @ SY2903 @ SY2904 @ SY2905 @ t_a ) ) )
            | ( SY2905
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SY2904 @ SY2905 ) ) )
            | ( SY2905 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SY2902 ) )
            | ( SY2905 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[894]) ).

thf(1136,plain,
    ! [SV272: $i,SV48: $i] :
      ( ( ! [SY2906: $i,SY2907: $i,SY2908: $i,SY2909: $i,SY2910: $i] :
            ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SY2906 @ SY2907 @ SY2908 @ SY2909 @ SY2910 @ t_a ) ) )
            | ( SY2910
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SY2909 @ SY2910 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SY2908 ) )
            | ( SY2910 = c_Type_Oty_OInteger )
            | ( SY2910 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[895]) ).

thf(1137,plain,
    ! [SV273: $i,SV49: $i] :
      ( ( ! [SY2911: $i,SY2912: $i,SY2913: $i,SY2914: $i,SY2915: $i,SY2916: $i,SY2917: $i,SY2918: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SY2911 @ SY2912 @ SY2913 @ SY2914 @ SV49 @ SY2915 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SY2916 @ SY2917 @ SY2913 @ SY2918 @ SV49 @ SY2915 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SY2914 @ SY2918 @ SY2915 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[896]) ).

thf(1138,plain,
    ! [SV274: $i,SV50: $i] :
      ( ( ! [SY2919: $i,SY2920: $i,SY2921: $i,SY2922: $i,SY2923: $i] :
            ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SY2919 @ SY2920 @ SY2921 @ SY2922 @ SY2923 @ t_a ) ) )
            | ( SY2923
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SY2922 @ SY2923 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SY2921 ) )
            | ( SY2923 = c_Type_Oty_OInteger )
            | ( SY2923 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[897]) ).

thf(1139,plain,
    ! [SV275: $i,SV51: $i] :
      ( ( ! [SY2924: $i,SY2925: $i,SY2926: $i,SY2927: $i,SY2928: $i] :
            ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SY2924 @ SY2925 @ SY2926 @ SY2927 @ SY2928 @ t_a ) ) )
            | ( SY2928
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SY2927 @ SY2928 ) ) )
            | ( SY2928 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SY2925 ) )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SY2924 ) )
            | ( SY2928 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[898]) ).

thf(1140,plain,
    ! [SV276: $i,SV52: $i] :
      ( ( ! [SY2929: $i,SY2930: $i,SY2931: $i,SY2932: $i,SY2933: $i] :
            ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SY2929 @ SY2930 @ SY2931 @ SY2932 @ SY2933 @ t_a ) ) )
            | ( SY2933
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SY2932 @ SY2933 ) ) )
            | ( SY2933 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SY2930 ) )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SY2929 ) )
            | ( SY2933 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[899]) ).

thf(1141,plain,
    ! [SV277: $i,SV53: $i] :
      ( ( ! [SY2934: $i,SY2935: $i,SY2936: $i,SY2937: $i,SY2938: $i,SY2939: $i,SY2940: $i,SY2941: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SY2934 @ SY2935 @ SY2936 @ SY2937 @ SV53 @ SY2938 )
              = ( c_Type_Oty_Oty__case @ SY2939 @ SY2934 @ SY2935 @ SY2940 @ SY2941 @ SV53 @ SY2938 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SY2937 @ SY2941 @ SY2938 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[900]) ).

thf(1142,plain,
    ! [SV278: $i,SV54: $i] :
      ( ( ! [SY2942: $i,SY2943: $i,SY2944: $i,SY2945: $i,SY2946: $i,SY2947: $i,SY2948: $i,SY2949: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SY2942 @ SY2943 @ SY2944 @ SY2945 @ SV54 @ SY2946 )
              = ( c_Type_Oty_Oty__case @ SY2947 @ SY2942 @ SY2948 @ SY2944 @ SY2949 @ SV54 @ SY2946 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SY2945 @ SY2949 @ SY2946 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[901]) ).

thf(1143,plain,
    ! [SV279: $i,SV55: $i] :
      ( ( ! [SY2950: $i,SY2951: $i,SY2952: $i,SY2953: $i,SY2954: $i] :
            ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SY2950 @ SY2951 @ SY2952 @ SY2953 @ SY2954 @ t_a ) ) )
            | ( SY2954
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SY2953 @ SY2954 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SY2952 ) )
            | ( SY2954 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SY2950 ) )
            | ( SY2954 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[902]) ).

thf(1144,plain,
    ! [SV280: $i,SV56: $i] :
      ( ( ! [SY2955: $i,SY2956: $i,SY2957: $i,SY2958: $i,SY2959: $i] :
            ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SY2955 @ SY2956 @ SY2957 @ SY2958 @ SY2959 @ t_a ) ) )
            | ( SY2959
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SY2958 @ SY2959 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SY2957 ) )
            | ( SY2959 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SY2955 ) )
            | ( SY2959 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(1145,plain,
    ! [SV281: $i,SV57: $i] :
      ( ( ! [SY2960: $i,SY2961: $i,SY2962: $i,SY2963: $i,SY2964: $i] :
            ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SY2960 @ SY2961 @ SY2962 @ SY2963 @ SY2964 @ t_a ) ) )
            | ( SY2964
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SY2963 @ SY2964 ) ) )
            | ( SY2964 = c_Type_Oty_ONT )
            | ( SY2964 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SY2960 ) )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[904]) ).

thf(1146,plain,
    ! [SV282: $i,SV58: $i] :
      ( ( ! [SY2965: $i,SY2966: $i,SY2967: $i,SY2968: $i,SY2969: $i,SY2970: $i,SY2971: $i,SY2972: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY2965 @ SY2966 @ SY2967 @ SY2968 @ SY2969 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY2970 @ SY2971 @ SY2972 @ SY2968 @ SY2969 ) )
            | ( SY2968
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY2968 @ SY2967 @ SY2972 @ SY2969 ) ) )
            | ( SY2968 = c_Type_Oty_ONT )
            | ( SY2968 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[905]) ).

thf(1147,plain,
    ! [SV283: $i,SV59: $i] :
      ( ( ! [SY2973: $i,SY2974: $i,SY2975: $i,SY2976: $i,SY2977: $i] :
            ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SY2973 @ SY2974 @ SY2975 @ SY2976 @ SY2977 @ t_a ) ) )
            | ( SY2977
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SY2976 @ SY2977 ) ) )
            | ( SY2977 = c_Type_Oty_ONT )
            | ( SY2977 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SY2973 ) )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[906]) ).

thf(1148,plain,
    ! [SV284: $i,SV60: $i] :
      ( ( ! [SY2978: $i,SY2979: $i,SY2980: $i,SY2981: $i,SY2982: $i] :
            ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SY2978 @ SY2979 @ SY2980 @ SY2981 @ SY2982 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SY2981 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SY2981 @ SY2982 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY2980 ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY2979 ) )
            | ( SY2982 = c_Type_Oty_OBoolean )
            | ( SY2982 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[907]) ).

thf(1149,plain,
    ! [SV285: $i,SV61: $i] :
      ( ( ! [SY2983: $i,SY2984: $i,SY2985: $i,SY2986: $i,SY2987: $i] :
            ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SY2983 @ SY2984 @ SY2985 @ SY2986 @ SY2987 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SY2986 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SY2986 @ SY2987 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY2985 ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY2984 ) )
            | ( SY2987 = c_Type_Oty_OBoolean )
            | ( SY2987 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[908]) ).

thf(1150,plain,
    ! [SV286: $i,SV62: $i] :
      ( ( ! [SY2988: $i,SY2989: $i,SY2990: $i,SY2991: $i,SY2992: $i] :
            ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SY2988 @ SY2989 @ SY2990 @ SY2991 @ SY2992 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SY2991 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SY2991 @ SY2992 ) ) ) )
            | ( SY2992 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SY2989 ) )
            | ( SY2992 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(1151,plain,
    ! [SV287: $i,SV63: $i] :
      ( ( ! [SY2993: $i,SY2994: $i,SY2995: $i,SY2996: $i,SY2997: $i] :
            ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SY2993 @ SY2994 @ SY2995 @ SY2996 @ SY2997 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SY2996 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SY2996 @ SY2997 ) ) ) )
            | ( SY2997 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SY2994 ) )
            | ( SY2997 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[910]) ).

thf(1152,plain,
    ! [SV288: $i,SV64: $i] :
      ( ( ! [SY2998: $i,SY2999: $i,SY3000: $i,SY3001: $i,SY3002: $i] :
            ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SY2998 @ SY2999 @ SY3000 @ SY3001 @ SY3002 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SY3001 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SY3001 @ SY3002 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SY3000 ) )
            | ( SY3002 = c_Type_Oty_OInteger )
            | ( SY3002 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[911]) ).

thf(1153,plain,
    ! [SV289: $i,SV65: $i] :
      ( ( ! [SY3003: $i,SY3004: $i,SY3005: $i,SY3006: $i,SY3007: $i] :
            ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SY3003 @ SY3004 @ SY3005 @ SY3006 @ SY3007 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SY3006 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SY3006 @ SY3007 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SY3005 ) )
            | ( SY3007 = c_Type_Oty_OInteger )
            | ( SY3007 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[912]) ).

thf(1154,plain,
    ! [SV290: $i,SV66: $i] :
      ( ( ! [SY3008: $i,SY3009: $i,SY3010: $i,SY3011: $i,SY3012: $i] :
            ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SY3008 @ SY3009 @ SY3010 @ SY3011 @ SY3012 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SY3011 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SY3011 @ SY3012 ) ) ) )
            | ( SY3012 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SY3009 ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SY3008 ) )
            | ( SY3012 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[913]) ).

thf(1155,plain,
    ! [SV291: $i,SV67: $i] :
      ( ( ! [SY3013: $i,SY3014: $i,SY3015: $i,SY3016: $i,SY3017: $i] :
            ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SY3013 @ SY3014 @ SY3015 @ SY3016 @ SY3017 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SY3016 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SY3016 @ SY3017 ) ) ) )
            | ( SY3017 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SY3014 ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SY3013 ) )
            | ( SY3017 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[914]) ).

thf(1156,plain,
    ! [SV292: $i,SV68: $i] :
      ( ( ! [SY3018: $i,SY3019: $i,SY3020: $i,SY3021: $i,SY3022: $i] :
            ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SY3018 @ SY3019 @ SY3020 @ SY3021 @ SY3022 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SY3021 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SY3021 @ SY3022 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SY3020 ) )
            | ( SY3022 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SY3018 ) )
            | ( SY3022 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[915]) ).

thf(1157,plain,
    ! [SV293: $i,SV69: $i] :
      ( ( ! [SY3023: $i,SY3024: $i,SY3025: $i,SY3026: $i,SY3027: $i] :
            ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SY3023 @ SY3024 @ SY3025 @ SY3026 @ SY3027 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SY3026 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SY3026 @ SY3027 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SY3025 ) )
            | ( SY3027 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SY3023 ) )
            | ( SY3027 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[916]) ).

thf(1158,plain,
    ! [SV294: $i,SV70: $i] :
      ( ( ! [SY3028: $i,SY3029: $i,SY3030: $i,SY3031: $i,SY3032: $i] :
            ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SY3028 @ SY3029 @ SY3030 @ SY3031 @ SY3032 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SY3031 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SY3031 @ SY3032 ) ) ) )
            | ( SY3032 = c_Type_Oty_ONT )
            | ( SY3032 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SY3028 ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[917]) ).

thf(1159,plain,
    ! [SV295: $i,SV71: $i] :
      ( ( ! [SY3033: $i,SY3034: $i,SY3035: $i,SY3036: $i,SY3037: $i] :
            ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SY3033 @ SY3034 @ SY3035 @ SY3036 @ SY3037 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY3036 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SY3036 @ SY3037 ) ) ) )
            | ( SY3037 = c_Type_Oty_ONT )
            | ( SY3037 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SY3033 ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[918]) ).

thf(1160,plain,
    ! [SV296: $i,SV72: $i] :
      ( ( ! [SY3038: $i,SY3039: $i,SY3040: $i,SY3041: $i,SY3042: $i] :
            ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SY3038 @ SY3039 @ SY3040 @ SY3041 @ SY3042 @ t_a ) ) )
            | ( SY3042
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SY3041 @ SY3042 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY3040 ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY3039 ) )
            | ( SY3042 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[919]) ).

thf(1161,plain,
    ! [SV297: $i,SV73: $i] :
      ( ( ! [SY3043: $i,SY3044: $i,SY3045: $i,SY3046: $i,SY3047: $i,SY3048: $i,SY3049: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SY3043 @ SY3044 @ SY3045 @ SY3046 @ SV73 @ SY3047 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SY3048 @ SY3044 @ SY3045 @ SY3049 @ SV73 @ SY3047 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SY3046 @ SY3049 @ SY3047 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[920]) ).

thf(1162,plain,
    ! [SV298: $i,SV74: $i] :
      ( ( ! [SY3050: $i,SY3051: $i,SY3052: $i,SY3053: $i,SY3054: $i] :
            ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SY3050 @ SY3051 @ SY3052 @ SY3053 @ SY3054 @ t_a ) ) )
            | ( SY3054
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SY3053 @ SY3054 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY3052 ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY3051 ) )
            | ( SY3054 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[921]) ).

thf(1163,plain,
    ! [SV299: $i,SV75: $i] :
      ( ( ! [SY3055: $i,SY3056: $i,SY3057: $i,SY3058: $i,SY3059: $i,SY3060: $i,SY3061: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SY3055 @ SY3056 @ SY3057 @ SY3058 @ SV75 @ SY3059 )
              = ( c_Type_Oty_Oty__case @ SY3060 @ SY3055 @ SY3056 @ SY3057 @ SY3061 @ SV75 @ SY3059 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SY3058 @ SY3061 @ SY3059 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[922]) ).

thf(1164,plain,
    ! [SV300: $i,SV76: $i] :
      ( ( ! [SY3062: $i,SY3063: $i,SY3064: $i,SY3065: $i,SY3066: $i] :
            ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SY3062 @ SY3063 @ SY3064 @ SY3065 @ SY3066 @ t_a ) ) )
            | ( SY3066
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SY3065 @ SY3066 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY3064 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY3063 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY3062 ) )
            | ( SY3066 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[923]) ).

thf(1165,plain,
    ! [SV301: $i,SV77: $i] :
      ( ( ! [SY3067: $i,SY3068: $i,SY3069: $i,SY3070: $i,SY3071: $i] :
            ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SY3067 @ SY3068 @ SY3069 @ SY3070 @ SY3071 @ t_a ) ) )
            | ( SY3071
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SY3070 @ SY3071 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY3069 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY3068 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY3067 ) )
            | ( SY3071 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[924]) ).

thf(1166,plain,
    ! [SV302: $i,SV78: $i] :
      ( ( ! [SY3072: $i,SY3073: $i,SY3074: $i,SY3075: $i,SY3076: $i] :
            ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SY3072 @ SY3073 @ SY3074 @ SY3075 @ SY3076 @ t_a ) ) )
            | ( SY3076
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SY3075 @ SY3076 ) ) )
            | ( SY3076 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SY3073 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SY3072 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[925]) ).

thf(1167,plain,
    ! [SV303: $i,SV79: $i] :
      ( ( ! [SY3077: $i,SY3078: $i,SY3079: $i,SY3080: $i,SY3081: $i,SY3082: $i,SY3083: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SY3077 @ SY3078 @ SY3079 @ SY3080 @ SY3081 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SY3077 @ SY3082 @ SY3083 @ SY3080 @ SY3081 ) )
            | ( SY3080
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY3080 @ SY3079 @ SY3083 @ SY3081 ) ) )
            | ( SY3080 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[926]) ).

thf(1168,plain,
    ! [SV304: $i,SV80: $i] :
      ( ( ! [SY3084: $i,SY3085: $i,SY3086: $i,SY3087: $i,SY3088: $i] :
            ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SY3084 @ SY3085 @ SY3086 @ SY3087 @ SY3088 @ t_a ) ) )
            | ( SY3088
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SY3087 @ SY3088 ) ) )
            | ( SY3088 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SY3085 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SY3084 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[927]) ).

thf(1169,plain,
    ! [SV305: $i,SV81: $i] :
      ( ( ! [SY3089: $i,SY3090: $i,SY3091: $i,SY3092: $i,SY3093: $i] :
            ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SY3089 @ SY3090 @ SY3091 @ SY3092 @ SY3093 @ t_a ) ) )
            | ( SY3093
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SY3092 @ SY3093 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY3091 ) )
            | ( SY3093 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY3089 ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[928]) ).

thf(1170,plain,
    ! [SV306: $i,SV82: $i] :
      ( ( ! [SY3094: $i,SY3095: $i,SY3096: $i,SY3097: $i,SY3098: $i,SY3099: $i,SY3100: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SY3094 @ SY3095 @ SY3096 @ SY3097 @ SV82 @ SY3098 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SY3094 @ SY3099 @ SY3096 @ SY3100 @ SV82 @ SY3098 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SY3097 @ SY3100 @ SY3098 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[929]) ).

thf(1171,plain,
    ! [SV307: $i,SV83: $i] :
      ( ( ! [SY3101: $i,SY3102: $i,SY3103: $i,SY3104: $i,SY3105: $i] :
            ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SY3101 @ SY3102 @ SY3103 @ SY3104 @ SY3105 @ t_a ) ) )
            | ( SY3105
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SY3104 @ SY3105 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY3103 ) )
            | ( SY3105 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY3101 ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[930]) ).

thf(1172,plain,
    ! [SV308: $i,SV84: $i] :
      ( ( ! [SY3106: $i,SY3107: $i,SY3108: $i,SY3109: $i,SY3110: $i] :
            ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SY3106 @ SY3107 @ SY3108 @ SY3109 @ SY3110 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SY3109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SY3109 @ SY3110 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY3108 ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY3107 ) )
            | ( SY3110 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[931]) ).

thf(1173,plain,
    ! [SV309: $i,SV85: $i] :
      ( ( ! [SY3111: $i,SY3112: $i,SY3113: $i,SY3114: $i,SY3115: $i] :
            ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SY3111 @ SY3112 @ SY3113 @ SY3114 @ SY3115 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SY3114 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SY3114 @ SY3115 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY3113 ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY3112 ) )
            | ( SY3115 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[932]) ).

thf(1174,plain,
    ! [SV310: $i,SV86: $i] :
      ( ( ! [SY3116: $i,SY3117: $i,SY3118: $i,SY3119: $i,SY3120: $i] :
            ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SY3116 @ SY3117 @ SY3118 @ SY3119 @ SY3120 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SY3119 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SY3119 @ SY3120 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY3118 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY3117 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY3116 ) )
            | ( SY3120 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[933]) ).

thf(1175,plain,
    ! [SV311: $i,SV87: $i] :
      ( ( ! [SY3121: $i,SY3122: $i,SY3123: $i,SY3124: $i,SY3125: $i] :
            ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SY3121 @ SY3122 @ SY3123 @ SY3124 @ SY3125 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY3124 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SY3124 @ SY3125 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY3123 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY3122 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY3121 ) )
            | ( SY3125 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[934]) ).

thf(1176,plain,
    ! [SV312: $i,SV88: $i] :
      ( ( ! [SY3126: $i,SY3127: $i,SY3128: $i,SY3129: $i,SY3130: $i] :
            ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SY3126 @ SY3127 @ SY3128 @ SY3129 @ SY3130 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SY3129 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SY3129 @ SY3130 ) ) ) )
            | ( SY3130 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SY3127 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SY3126 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[935]) ).

thf(1177,plain,
    ! [SV313: $i,SV89: $i] :
      ( ( ! [SY3131: $i,SY3132: $i,SY3133: $i,SY3134: $i,SY3135: $i] :
            ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SY3131 @ SY3132 @ SY3133 @ SY3134 @ SY3135 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SY3134 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SY3134 @ SY3135 ) ) ) )
            | ( SY3135 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SY3132 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SY3131 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[936]) ).

thf(1178,plain,
    ! [SV314: $i,SV90: $i] :
      ( ( ! [SY3136: $i,SY3137: $i,SY3138: $i,SY3139: $i,SY3140: $i] :
            ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SY3136 @ SY3137 @ SY3138 @ SY3139 @ SY3140 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SY3139 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SY3139 @ SY3140 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY3138 ) )
            | ( SY3140 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY3136 ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[937]) ).

thf(1179,plain,
    ! [SV315: $i,SV91: $i] :
      ( ( ! [SY3141: $i,SY3142: $i,SY3143: $i,SY3144: $i,SY3145: $i] :
            ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SY3141 @ SY3142 @ SY3143 @ SY3144 @ SY3145 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SY3144 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SY3144 @ SY3145 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY3143 ) )
            | ( SY3145 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY3141 ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[938]) ).

thf(1180,plain,
    ! [SV316: $i,SV92: $i] :
      ( ( ! [SY3146: $i] : ( c_TypeRel_Owiden @ SV92 @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ SV316 ) @ SY3146 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[939]) ).

thf(1181,plain,
    ! [SV317: $i,SV93: $i] :
      ( ( ! [SY3147: $i,SY3148: $i,SY3149: $i,SY3150: $i,SY3151: $i] :
            ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SY3147 @ SY3148 @ SY3149 @ SY3150 @ SY3151 @ t_a ) ) )
            | ( SY3151
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SY3150 @ SY3151 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY3149 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY3148 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY3147 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[940]) ).

thf(1182,plain,
    ! [SV318: $i,SV94: $i] :
      ( ( ! [SY3152: $i,SY3153: $i,SY3154: $i,SY3155: $i,SY3156: $i,SY3157: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SY3152 @ SY3153 @ SY3154 @ SY3155 @ SY3156 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SY3152 @ SY3153 @ SY3157 @ SY3155 @ SY3156 ) )
            | ( SY3155
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY3155 @ SY3154 @ SY3157 @ SY3156 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[941]) ).

thf(1183,plain,
    ! [SV319: $i,SV95: $i] :
      ( ( ! [SY3158: $i,SY3159: $i,SY3160: $i,SY3161: $i,SY3162: $i] :
            ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SY3158 @ SY3159 @ SY3160 @ SY3161 @ SY3162 @ t_a ) ) )
            | ( SY3162
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SY3161 @ SY3162 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY3160 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY3159 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY3158 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1184,plain,
    ! [SV320: $i,SV96: $i] :
      ( ( ! [SY3163: $i,SY3164: $i,SY3165: $i,SY3166: $i,SY3167: $i] :
            ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SY3163 @ SY3164 @ SY3165 @ SY3166 @ SY3167 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SY3166 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SY3166 @ SY3167 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY3165 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY3164 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY3163 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[943]) ).

thf(1185,plain,
    ! [SV321: $i,SV97: $i] :
      ( ( ! [SY3168: $i,SY3169: $i,SY3170: $i,SY3171: $i,SY3172: $i] :
            ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SY3168 @ SY3169 @ SY3170 @ SY3171 @ SY3172 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SY3171 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SY3171 @ SY3172 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY3170 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY3169 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY3168 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[944]) ).

thf(1186,plain,
    ! [SV322: $i,SV98: $i] :
      ( ( ! [SY3173: $i] : ( c_TypeRel_Owiden @ SV98 @ SV322 @ SV322 @ SY3173 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[945]) ).

thf(1187,plain,
    ! [SV323: $i,SV99: $i] :
      ( ( ! [SY3174: $i,SY3175: $i,SY3176: $i] :
            ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SY3174 @ SY3175 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SY3176 @ SY3174 @ SY3175 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SY3176 @ SY3175 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[946]) ).

thf(1188,plain,
    ! [SV324: $i,SV100: $i] :
      ( ( ! [SY3177: $i,SY3178: $i,SY3179: $i,SY3180: $i,SY3181: $i,SY3182: $i,SY3183: $i,SY3184: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SY3177 @ ( c_Expr_Oexp_OFAss @ SY3178 @ SY3179 @ SY3180 @ SY3181 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY3182 @ SY3183 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SY3177 @ SY3181 @ SY3182 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY3184 @ SY3179 @ SY3183 @ SY3180 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SY3177 @ SY3178 @ ( c_Type_Oty_OClass @ SY3184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[947]) ).

thf(1189,plain,
    ! [SV325: $i,SV101: $i] :
      ( ( ! [SY3185: $i,SY3186: $i,SY3187: $i,SY3188: $i,SY3189: $i,SY3190: $i,SY3191: $i,SY3192: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SY3185 @ ( c_Expr_Oexp_OFAss @ SY3186 @ SY3187 @ SY3188 @ SY3189 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY3190 @ SY3191 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SY3185 @ SY3189 @ SY3190 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY3192 @ SY3187 @ SY3191 @ SY3188 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SY3185 @ SY3186 @ ( c_Type_Oty_OClass @ SY3192 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[948]) ).

thf(1190,plain,
    ! [SV326: $i,SV102: $i] :
      ( ( ! [SY3193: $i,SY3194: $i,SY3195: $i,SY3196: $i,SY3197: $i,SY3198: $i,SY3199: $i,SY3200: $i,SY3201: $i,SY3202: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SY3193 @ SY3194 @ SY3195 @ SY3196 @ SY3197 )
              = ( c_Type_Oty_Oty__case @ SY3198 @ SY3199 @ SY3200 @ SY3201 @ SY3202 @ SY3196 @ SY3197 ) )
            | ( SY3196
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY3196 @ SY3195 @ SY3202 @ SY3197 ) ) )
            | ( SY3196 = c_Type_Oty_ONT )
            | ( SY3196 = c_Type_Oty_OInteger )
            | ( SY3196 = c_Type_Oty_OBoolean )
            | ( SY3196 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[949]) ).

thf(1191,plain,
    ! [SV327: $i,SV103: $i] :
      ( ( ! [SY3203: $i,SY3204: $i,SY3205: $i,SY3206: $i,SY3207: $i] :
            ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SY3203 @ SY3204 @ SY3205 @ SY3206 @ SY3207 @ t_a ) ) )
            | ( SY3207
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SY3206 @ SY3207 ) ) )
            | ( SY3207 = c_Type_Oty_ONT )
            | ( SY3207 = c_Type_Oty_OInteger )
            | ( SY3207 = c_Type_Oty_OBoolean )
            | ( SY3207 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[950]) ).

thf(1192,plain,
    ! [SV328: $i,SV104: $i] :
      ( ( ! [SY3208: $i,SY3209: $i,SY3210: $i,SY3211: $i,SY3212: $i] :
            ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SY3208 @ SY3209 @ SY3210 @ SY3211 @ SY3212 @ t_a ) ) )
            | ( SY3212
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SY3211 @ SY3212 ) ) )
            | ( SY3212 = c_Type_Oty_ONT )
            | ( SY3212 = c_Type_Oty_OInteger )
            | ( SY3212 = c_Type_Oty_OBoolean )
            | ( SY3212 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[951]) ).

thf(1193,plain,
    ! [SV329: $i,SV105: $i] :
      ( ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ SV105 @ v_P @ SV329 @ v_e_Ha____ @ v_h_Ha____ ) @ SV329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV105 @ v_ea____ @ SV329 )
        | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV105 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[952]) ).

thf(1194,plain,
    ! [SV330: $i,SV106: $i] :
      ( ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV106 @ v_P @ SV330 @ v_e_Ha____ @ v_h_Ha____ ) @ SV330 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV106 @ v_ea____ @ SV330 )
        | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV106 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[953]) ).

thf(1195,plain,
    ! [SV331: $i,SV107: $i] :
      ( ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ SV107 @ v_P @ SV331 @ v_e_Ha____ @ v_h_Ha____ ) @ SV331 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV107 @ v_ea____ @ SV331 )
        | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV107 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[954]) ).

thf(1196,plain,
    ! [SV108: $i] :
      ( ( ( SV108 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV108 = c_Type_Oty_OBoolean )
          | ( SV108 = c_Type_Oty_OVoid )
          | ( c_Type_Ois__refT @ SV108 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[955]) ).

thf(1197,plain,
    ! [SV332: $i,SV109: $i] :
      ( ( ! [SY3213: $i,SY3214: $i,SY3215: $i,SY3216: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SY3213 @ SY3214 @ SY3215 @ SY3216 @ c_Type_Oty_OVoid @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV109 @ SV332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[956]) ).

thf(1198,plain,
    ! [SV333: $i,SV110: $i] :
      ( ( ! [SY3217: $i,SY3218: $i,SY3219: $i,SY3220: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SY3217 @ SY3218 @ SY3219 @ SY3220 @ c_Type_Oty_OBoolean @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV110 @ SY3217 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[957]) ).

thf(1199,plain,
    ! [SV334: $i,SV111: $i] :
      ( ( ! [SY3221: $i,SY3222: $i,SY3223: $i,SY3224: $i] :
            ( ( c_Type_Oty_Oty__case @ SV111 @ SV334 @ SY3221 @ SY3222 @ SY3223 @ c_Type_Oty_OBoolean @ SY3224 )
            = SV334 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[958]) ).

thf(1200,plain,
    ! [SV335: $i,SV112: $i] :
      ( ( ! [SY3225: $i,SY3226: $i,SY3227: $i,SY3228: $i,SY3229: $i] :
            ( ( SV112 = c_Type_Oty_OVoid )
            | ~ ( c_WellType_OWT @ SV335 @ SY3225 @ ( c_Expr_Oexp_OFAss @ SY3226 @ SY3227 @ SY3228 @ SY3229 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[959]) ).

thf(1201,plain,
    ! [SV336: $i,SV114: $i] :
      ( ( ! [SY3230: $i] :
            ( ( c_Objects_Ohext @ SV114 @ SV336 )
            | ~ ( c_Objects_Ohext @ SY3230 @ SV336 )
            | ~ ( c_Objects_Ohext @ SV114 @ SY3230 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[961]) ).

thf(1202,plain,
    ! [SV337: $i,SV115: $i] :
      ( ( ! [SY3231: $i,SY3232: $i,SY3233: $i,SY3234: $i,SY3235: $i,SY3236: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SY3231 @ ( c_Expr_Oexp_OFAcc @ SY3232 @ SY3233 @ SY3234 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3235 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY3236 @ SY3233 @ SY3235 @ SY3234 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SY3231 @ SY3232 @ ( c_Type_Oty_OClass @ SY3236 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[962]) ).

thf(1203,plain,
    ! [SV338: $i,SV116: $i] :
      ( ( ! [SY3237: $i,SY3238: $i,SY3239: $i,SY3240: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV116 @ SV338 @ SY3237 @ SY3238 @ SY3239 @ c_Type_Oty_OInteger @ SY3240 )
            = SY3237 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[963]) ).

thf(1204,plain,
    ! [SV339: $i,SV117: $i] :
      ( ( ! [SY3241: $i,SY3242: $i,SY3243: $i,SY3244: $i,SY3245: $i,SY3246: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SY3241 @ SY3242 @ c_Type_Oty_ONT )
            | ( SY3243 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SY3241 @ ( c_Expr_Oexp_OFAss @ SY3242 @ SY3244 @ SY3245 @ SY3246 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3243 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[964]) ).

thf(1205,plain,
    ! [SV340: $i,SV118: $i] :
      ( ( ( c_COMBI @ SV118 @ SV340 )
        = SV118 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[965]) ).

thf(1206,plain,
    ! [SV341: $i,SV119: $i] :
      ( ( ! [SY3247: $i,SY3248: $i,SY3249: $i,SY3250: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SY3247 @ ( c_Expr_Oexp_OCast @ SY3248 @ SY3249 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY3248 ) )
            | ~ ( c_Decl_Ois__class @ SV119 @ SY3248 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY3250 )
            | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SY3247 @ SY3249 @ SY3250 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[966]) ).

thf(1207,plain,
    ! [SV342: $i,SV120: $i] :
      ( ( ! [SY3251: $i,SY3252: $i] :
            ( ( c_Progress_OWTrt_H @ SV120 @ SV342 @ SY3251 @ ( c_Expr_Oexp_Onew @ SY3252 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY3252 ) )
            | ~ ( c_Decl_Ois__class @ SV120 @ SY3252 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[967]) ).

thf(1208,plain,
    ! [SV343: $i,SV121: $i] :
      ( ( ! [SY3253: $i,SY3254: $i,SY3255: $i,SY3256: $i] :
            ( ( c_Type_Oty_Oty__case @ SV121 @ SV343 @ SY3253 @ SY3254 @ SY3255 @ c_Type_Oty_ONT @ SY3256 )
            = SY3254 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[968]) ).

thf(1209,plain,
    ! [SV344: $i,SV122: $i] :
      ( ( ! [SY3257: $i,SY3258: $i,SY3259: $i,SY3260: $i] :
            ( ( c_Type_Oty_Oty__case @ SV122 @ SV344 @ SY3257 @ SY3258 @ SY3259 @ c_Type_Oty_OInteger @ SY3260 )
            = SY3257 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[969]) ).

thf(1210,plain,
    ! [SV345: $i,SV123: $i] :
      ( ( ! [SY3261: $i,SY3262: $i,SY3263: $i,SY3264: $i] :
            ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SY3261 @ ( c_Expr_Oexp_OCast @ SY3262 @ SY3263 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY3262 ) )
            | ~ ( c_Decl_Ois__class @ SV123 @ SY3262 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY3264 )
            | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SY3261 @ SY3263 @ SY3264 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[970]) ).

thf(1211,plain,
    ! [SV346: $i,SV124: $i] :
      ( ( ! [SY3265: $i] : ( c_Map_Omap__le @ SV124 @ SV124 @ SV346 @ SY3265 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[971]) ).

thf(1212,plain,
    ! [SV347: $i,SV125: $i] :
      ( ( ! [SY3266: $i,SY3267: $i,SY3268: $i] :
            ( ( c_Map_Omap__le @ SV125 @ SV347 @ SY3266 @ SY3267 )
            | ~ ( c_Map_Omap__le @ SY3268 @ SV347 @ SY3266 @ SY3267 )
            | ~ ( c_Map_Omap__le @ SV125 @ SY3268 @ SY3266 @ SY3267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[972]) ).

thf(1213,plain,
    ! [SV348: $i,SV126: $i] :
      ( ( ! [SY3269: $i,SY3270: $i,SY3271: $i] :
            ( ( c_WellType_OWT @ SV126 @ SV348 @ SY3269 @ SY3270 )
            | ~ ( c_Map_Omap__le @ SY3271 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellType_OWT @ SV126 @ SY3271 @ SY3269 @ SY3270 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[973]) ).

thf(1214,plain,
    ! [SV349: $i,SV127: $i] :
      ( ( ! [SY3272: $i] :
            ( ( c_WellType_OWT @ SV127 @ SV349 @ ( c_Expr_Oexp_Onew @ SY3272 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY3272 ) )
            | ~ ( c_Decl_Ois__class @ SV127 @ SY3272 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[974]) ).

thf(1215,plain,
    ! [SV350: $i,SV128: $i] :
      ( ( ! [SY3273: $i,SY3274: $i,SY3275: $i] :
            ( ( SV128
              = ( c_Type_Oty_OClass @ SV350 ) )
            | ~ ( c_WellType_OWT @ SY3273 @ SY3274 @ ( c_Expr_Oexp_OCast @ SV350 @ SY3275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[975]) ).

thf(1216,plain,
    ! [SV351: $i,SV129: $i] :
      ( ( ! [SY3276: $i,SY3277: $i,SY3278: $i] :
            ( ( c_Decl_Ois__class @ SV129 @ SV351 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV129 @ SY3276 @ SY3277 @ ( c_Expr_Oexp_Onew @ SV351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3278 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[976]) ).

thf(1217,plain,
    ! [SV352: $i,SV130: $i] :
      ( ( ! [SY3279: $i,SY3280: $i,SY3281: $i] :
            ( ( c_Decl_Ois__class @ SV130 @ SV352 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV130 @ SY3279 @ ( c_Expr_Oexp_OCast @ SV352 @ SY3280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3281 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[977]) ).

thf(1218,plain,
    ! [SV353: $i,SV131: $i] :
      ( ( ! [SY3282: $i,SY3283: $i,SY3284: $i,SY3285: $i,SY3286: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SY3282 @ ( c_Expr_Oexp_OFAcc @ SY3283 @ SY3284 @ SY3285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3286 )
            | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SY3282 @ SY3283 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[978]) ).

thf(1219,plain,
    ! [SV354: $i,SV132: $i] :
      ( ( ! [SY3287: $i,SY3288: $i,SY3289: $i,SY3290: $i,SY3291: $i] :
            ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SY3287 @ ( c_Expr_Oexp_OFAcc @ SY3288 @ SY3289 @ SY3290 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3291 )
            | ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SY3287 @ SY3288 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[979]) ).

thf(1220,plain,
    ! [SV355: $i,SV133: $i] :
      ( ( ! [SY3292: $i,SY3293: $i,SY3294: $i,SY3295: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SY3292 @ SY3293 @ SY3294 @ SY3295 @ c_Type_Oty_ONT @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV133 @ SY3294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[980]) ).

thf(1221,plain,
    ! [SV356: $i,SV134: $i] :
      ( ( ! [SY3296: $i,SY3297: $i,SY3298: $i,SY3299: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV134 @ SV356 @ SY3296 @ SY3297 @ SY3298 @ c_Type_Oty_ONT @ SY3299 )
            = SY3297 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[981]) ).

thf(1222,plain,
    ! [SV357: $i,SV135: $i] :
      ( ( ! [SY3300: $i,SY3301: $i] :
            ( ( SV135 = SV357 )
            | ~ ( c_Map_Omap__le @ SV357 @ SV135 @ SY3300 @ SY3301 )
            | ~ ( c_Map_Omap__le @ SV135 @ SV357 @ SY3300 @ SY3301 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1223,plain,
    ! [SV358: $i,SV136: $i] :
      ( ( ! [SY3302: $i,SY3303: $i,SY3304: $i,SY3305: $i,SY3306: $i,SY3307: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SY3302 @ SY3303 @ ( c_Expr_Oexp_OFAss @ SY3304 @ SY3305 @ SY3306 @ SY3307 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[983]) ).

thf(1224,plain,
    ! [SV359: $i,SV137: $i] :
      ( ( ! [SY3308: $i,SY3309: $i,SY3310: $i,SY3311: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SY3308 @ SY3309 @ SY3310 @ SY3311 @ c_Type_Oty_OInteger @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV137 @ SY3309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1225,plain,
    ! [SV360: $i,SV138: $i] :
      ( ( ! [SY3312: $i,SY3313: $i] :
            ( ( SV138
              = ( c_Type_Oty_OClass @ SV360 ) )
            | ~ ( c_WellType_OWT @ SY3312 @ SY3313 @ ( c_Expr_Oexp_Onew @ SV360 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1226,plain,
    ! [SV361: $i,SV139: $i] :
      ( ( ! [SY3314: $i,SY3315: $i] :
            ( ( c_Decl_Ois__class @ SV139 @ SV361 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV139 @ SY3314 @ ( c_Expr_Oexp_Onew @ SV361 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3315 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1227,plain,
    ! [SV362: $i,SV140: $i] :
      ( ( ! [SY3316: $i,SY3317: $i,SY3318: $i,SY3319: $i,SY3320: $i,SY3321: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SY3316 @ ( c_Expr_Oexp_OFAss @ SY3317 @ SY3318 @ SY3319 @ SY3320 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SY3316 @ SY3320 @ SY3321 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SY3316 @ SY3317 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1228,plain,
    ! [SV363: $i,SV141: $i] :
      ( ( ! [SY3322: $i,SY3323: $i,SY3324: $i,SY3325: $i,SY3326: $i] :
            ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SY3322 @ ( c_Expr_Oexp_OSeq @ SY3323 @ SY3324 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3325 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SY3322 @ SY3324 @ SY3325 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SY3322 @ SY3323 @ SY3326 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1229,plain,
    ! [SV364: $i,SV142: $i] :
      ( ( ! [SY3327: $i,SY3328: $i,SY3329: $i,SY3330: $i] :
            ( ( c_Type_Oty_Oty__case @ SV142 @ SV364 @ SY3327 @ SY3328 @ SY3329 @ c_Type_Oty_OVoid @ SY3330 )
            = SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1230,plain,
    ! [SV365: $i,SV143: $i] :
      ( ( ! [SY3331: $i,SY3332: $i,SY3333: $i,SY3334: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV143 @ SV365 @ SY3331 @ SY3332 @ SY3333 @ c_Type_Oty_OBoolean @ SY3334 )
            = SV365 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[990]) ).

thf(1231,plain,
    ! [SV366: $i,SV144: $i] :
      ( ( ! [SY3335: $i,SY3336: $i,SY3337: $i,SY3338: $i] :
            ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SY3335 @ SY3336 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3337 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SY3336 @ SY3337 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SY3335 @ SY3338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[991]) ).

thf(1232,plain,
    ! [SV367: $i,SV145: $i] :
      ( ( ! [SY3339: $i,SY3340: $i,SY3341: $i,SY3342: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV145 @ SV367 @ SY3339 @ SY3340 @ SY3341 @ c_Type_Oty_OVoid @ SY3342 )
            = SV145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[992]) ).

thf(1233,plain,
    ! [SV368: $i,SV146: $i] :
      ( ( ! [SY3343: $i,SY3344: $i,SY3345: $i,SY3346: $i,SY3347: $i,SY3348: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SY3343 @ ( c_Expr_Oexp_OFAss @ SY3344 @ SY3345 @ SY3346 @ SY3347 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SY3343 @ SY3347 @ SY3348 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SY3343 @ SY3344 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[993]) ).

thf(1234,plain,
    ! [SV369: $i,SV147: $i] :
      ( ( ! [SY3349: $i,SY3350: $i,SY3351: $i,SY3352: $i] :
            ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV147 @ SY3349 @ SY3350 @ ( c_Expr_Oexp_OCast @ SV369 @ SY3351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1235,plain,
    ! [SV370: $i,SV148: $i] :
      ( ( ! [SY3353: $i,SY3354: $i,SY3355: $i,SY3356: $i] :
            ( ( SV148
              = ( c_Type_Oty_OClass @ SV370 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SY3353 @ SY3354 @ SY3355 @ ( c_Expr_Oexp_OCast @ SV370 @ SY3356 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1236,plain,
    ! [SV371: $i,SV149: $i] :
      ( ( ! [SY3357: $i,SY3358: $i,SY3359: $i,SY3360: $i,SY3361: $i] :
            ( ( c_Type_Oty_Oty__case @ SV149 @ SV371 @ SY3357 @ SY3358 @ SY3359 @ ( c_Type_Oty_OClass @ SY3360 ) @ SY3361 )
            = ( hAPP @ SY3359 @ SY3360 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[996]) ).

thf(1237,plain,
    ! [SV372: $i,SV150: $i] :
      ( ( ! [SY3362: $i,SY3363: $i,SY3364: $i,SY3365: $i,SY3366: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SY3362 @ ( c_Expr_Oexp_OSeq @ SY3363 @ SY3364 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3365 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SY3362 @ SY3364 @ SY3365 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SY3362 @ SY3363 @ SY3366 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1238,plain,
    ! [SV373: $i,SV151: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV151 @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ SV151 @ v_P @ SV373 @ v_e_Ha____ @ v_h_Ha____ ) )
        | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV151 @ v_ea____ @ SV373 )
        | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV151 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[998]) ).

thf(1239,plain,
    ! [SV374: $i,SV152: $i] :
      ( ( ! [SY3367: $i,SY3368: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV152 @ SV374 @ SY3367 @ ( c_Expr_Oexp_Onew @ SY3368 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY3368 ) )
            | ~ ( c_Decl_Ois__class @ SV152 @ SY3368 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1240,plain,
    ! [SV375: $i,SV153: $i] :
      ( ( ! [SY3369: $i,SY3370: $i,SY3371: $i] :
            ( ( SV153
              = ( c_Type_Oty_OClass @ SV375 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SY3369 @ SY3370 @ SY3371 @ ( c_Expr_Oexp_Onew @ SV375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1241,plain,
    ! [SV376: $i,SV154: $i] :
      ( ( ! [SY3372: $i,SY3373: $i,SY3374: $i,SY3375: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SY3372 @ SY3373 @ SY3374 )
            | ~ ( c_Map_Omap__le @ SY3375 @ SY3372 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SY3375 @ SY3373 @ SY3374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1242,plain,
    ! [SV377: $i,SV155: $i] :
      ( ( ! [SY3376: $i,SY3377: $i,SY3378: $i,SY3379: $i,SY3380: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV155 @ SV377 @ SY3376 @ SY3377 @ SY3378 @ ( c_Type_Oty_OClass @ SY3379 ) @ SY3380 )
            = ( hAPP @ SY3378 @ SY3379 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1002]) ).

thf(1243,plain,
    ! [SV378: $i,SV156: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV156 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ SV156 @ v_P @ SV378 @ v_e_Ha____ @ v_h_Ha____ ) )
        | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV156 @ v_ea____ @ SV378 )
        | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV156 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1244,plain,
    ! [SV379: $i,SV157: $i] :
      ( ( ! [SY3381: $i,SY3382: $i,SY3383: $i] :
            ( ( c_Progress_OWTrt_H @ SV157 @ SV379 @ SY3381 @ SY3382 @ SY3383 )
            | ~ ( c_WellTypeRT_OWTrt @ SV157 @ SV379 @ SY3381 @ SY3382 @ SY3383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1245,plain,
    ! [SV380: $i,SV158: $i] :
      ( ( ! [SY3384: $i,SY3385: $i,SY3386: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV158 @ SV380 @ SY3384 @ SY3385 @ SY3386 )
            | ~ ( c_Progress_OWTrt_H @ SV158 @ SV380 @ SY3384 @ SY3385 @ SY3386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1246,plain,
    ! [SV381: $i,SV159: $i] :
      ( ( ! [SY3387: $i,SY3388: $i,SY3389: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV159 @ SV381 @ SY3387 @ SY3388 @ SY3389 )
            | ~ ( c_WellType_OWT @ SV159 @ SY3387 @ SY3388 @ SY3389 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1247,plain,
    ! [SV382: $i,SV160: $i] :
      ( ( ! [SY3390: $i,SY3391: $i,SY3392: $i,SY3393: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SY3390 @ SY3391 @ SY3392 )
            | ~ ( c_Objects_Ohext @ SY3393 @ SV382 )
            | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SY3393 @ SY3390 @ SY3391 @ SY3392 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1007]) ).

thf(1248,plain,
    ! [SV383: $i,SV161: $i] :
      ( ( ! [SY3394: $i,SY3395: $i,SY3396: $i,SY3397: $i,SY3398: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SY3394 @ SY3395 @ SY3396 @ SY3397 @ ( c_Type_Oty_OClass @ SY3398 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SY3397 @ SY3398 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1249,plain,
    ! [SV384: $i,SV162: $i] :
      ( ( ! [SY3399: $i,SY3400: $i,SY3401: $i,SY3402: $i,SY3403: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SY3399 @ SY3400 @ SY3401 @ SY3402 @ ( c_Type_Oty_OClass @ SY3403 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SY3402 @ SY3403 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1250,plain,
    ! [SV385: $i,SV163: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV163 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV163 @ v_P @ SV385 @ v_e_Ha____ @ v_h_Ha____ ) )
        | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV163 @ v_ea____ @ SV385 )
        | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV163 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1251,plain,
    ! [SV386: $i,SV165: $i] :
      ( ( ! [SY3404: $i,SY3405: $i,SY3406: $i,SY3407: $i,SY3408: $i,SY3409: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SY3404 @ ( c_Expr_Oexp_OFAcc @ SY3405 @ SY3406 @ SY3407 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3408 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY3409 @ SY3406 @ SY3408 @ SY3407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SY3404 @ SY3405 @ ( c_Type_Oty_OClass @ SY3409 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1252,plain,
    ! [SV387: $i,SV166: $i] :
      ( ( c_fequal @ SV166 @ SV166 @ SV387 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1253,plain,
    ! [SV388: $i,SV167: $i] :
      ( ( ! [SY3410: $i] :
            ( ( SV167 = SV388 )
            | ~ ( c_fequal @ SV167 @ SV388 @ SY3410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1254,plain,
    ! [SV389: $i,SV168: $i] :
      ( ( ! [SY3411: $i,SY3412: $i,SY3413: $i,SY3414: $i,SY3415: $i,SY3416: $i,SY3417: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SY3411 @ SY3412 ) )
             != ( hAPP @ SY3411 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SY3411 @ SY3412 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SY3413 @ SY3414 @ SY3415 @ SY3416 @ SV168 @ SV389 @ SY3412 )
              = ( c_Type_Oty_Oty__case @ SY3413 @ SY3414 @ SY3415 @ SY3417 @ SY3411 @ SV389 @ SY3412 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1255,plain,
    ! [SV169: $i] :
      ( ( c_Type_Oty_OInteger
        = ( c_Type_Oty_OClass @ SV169 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1256,plain,
    ! [SV390: $i,SV170: $i] :
      ( ( ! [SY3418: $i,SY3419: $i,SY3420: $i,SY3421: $i,SY3422: $i,SY3423: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SY3418 @ SY3419 @ SY3420 )
           != ( c_Expr_Oexp_OFAcc @ SY3421 @ SY3422 @ SY3423 @ SY3420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1257,plain,
    ! [SV391: $i,SV171: $i] :
      ( ( ! [SY3424: $i,SY3425: $i,SY3426: $i] :
            ( ( c_Expr_Oexp_Onew @ SV171 @ SV391 )
           != ( c_Expr_Oexp_OFAcc @ SY3424 @ SY3425 @ SY3426 @ SV391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1258,plain,
    ! [SV392: $i,SV172: $i] :
      ( ( ! [SY3427: $i,SY3428: $i,SY3429: $i,SY3430: $i,SY3431: $i,SY3432: $i,SY3433: $i,SY3434: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SY3427 @ SY3428 ) )
             != ( hAPP @ SY3427 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SY3427 @ SY3428 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY3429 @ SY3430 @ SY3431 @ SY3432 @ SV172 @ SV392 @ SY3428 )
              = ( c_Type_Oty_Oty__case @ SY3429 @ SY3430 @ SY3433 @ SY3434 @ SY3427 @ SV392 @ SY3428 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1021]) ).

thf(1259,plain,
    ! [SV393: $i,SV173: $i] :
      ( ( ! [SY3435: $i,SY3436: $i,SY3437: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV393 @ SY3435 )
             != ( c_Expr_Oexp_OSeq @ SY3436 @ SY3437 @ SY3435 ) )
            | ( SV393 = SY3437 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1260,plain,
    ! [SV394: $i,SV174: $i] :
      ( ( ! [SY3438: $i,SY3439: $i,SY3440: $i,SY3441: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV174 @ SV394 @ SY3438 )
           != ( c_Expr_Oexp_OFAcc @ SY3439 @ SY3440 @ SY3441 @ SY3438 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1023]) ).

thf(1261,plain,
    ! [SV395: $i,SV175: $i] :
      ( ( ! [SY3442: $i,SY3443: $i,SY3444: $i,SY3445: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV175 @ SV395 @ SY3442 @ SY3443 @ SY3444 )
           != ( c_Expr_Oexp_Onew @ SY3445 @ SY3444 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1262,plain,
    ! [SV396: $i,SV176: $i] :
      ( ( ! [SY3446: $i,SY3447: $i,SY3448: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV176 @ SV396 @ SY3446 )
           != ( c_Expr_Oexp_OCast @ SY3447 @ SY3448 @ SY3446 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1263,plain,
    ! [SV397: $i,SV177: $i] :
      ( ( ! [SY3449: $i,SY3450: $i,SY3451: $i,SY3452: $i,SY3453: $i,SY3454: $i,SY3455: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SY3449 @ SY3450 ) )
             != ( hAPP @ SY3449 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SY3449 @ SY3450 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3451 @ SY3452 @ SY3453 @ SY3454 @ SV177 @ SV397 @ SY3450 )
              = ( c_Type_Oty_Oty__case @ SY3455 @ SY3452 @ SY3453 @ SY3454 @ SY3449 @ SV397 @ SY3450 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1026]) ).

thf(1264,plain,
    ! [SV398: $i,SV178: $i] :
      ( ( ! [SY3456: $i,SY3457: $i,SY3458: $i,SY3459: $i,SY3460: $i,SY3461: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SY3456 @ SY3457 ) )
             != ( hAPP @ SY3456 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SY3456 @ SY3457 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SY3458 @ SY3459 @ SY3460 @ SY3461 @ SV178 @ SV398 @ SY3457 )
              = ( c_Type_Oty_Oty__case @ SY3458 @ SY3459 @ SY3460 @ SY3461 @ SY3456 @ SV398 @ SY3457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1265,plain,
    ! [SV399: $i,SV179: $i] :
      ( ( ! [SY3462: $i,SY3463: $i,SY3464: $i,SY3465: $i,SY3466: $i,SY3467: $i,SY3468: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SY3462 @ SY3463 @ SY3464 )
             != ( c_Expr_Oexp_OFAss @ SY3465 @ SY3466 @ SY3467 @ SY3468 @ SY3464 ) )
            | ( SV179 = SY3465 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1029]) ).

thf(1266,plain,
    ! [SV400: $i,SV180: $i] :
      ( ( ! [SY3469: $i,SY3470: $i,SY3471: $i,SY3472: $i,SY3473: $i] :
            ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SY3469 )
           != ( c_Expr_Oexp_OFAss @ SY3470 @ SY3471 @ SY3472 @ SY3473 @ SY3469 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1267,plain,
    ! [SV401: $i,SV181: $i] :
      ( ( ! [SY3474: $i,SY3475: $i,SY3476: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV181 @ SV401 @ SY3474 )
             != ( c_Expr_Oexp_OCast @ SY3475 @ SY3476 @ SY3474 ) )
            | ( SV401 = SY3476 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1031]) ).

thf(1268,plain,
    ! [SV402: $i,SV182: $i] :
      ( ( ! [SY3477: $i,SY3478: $i,SY3479: $i,SY3480: $i,SY3481: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SY3477 @ SY3478 )
             != ( c_Expr_Oexp_OFAcc @ SY3479 @ SY3480 @ SY3481 @ SY3478 ) )
            | ( SY3477 = SY3481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1033]) ).

thf(1269,plain,
    ! [SV403: $i,SV183: $i] :
      ( ( ! [SY3482: $i,SY3483: $i,SY3484: $i,SY3485: $i] :
            ( ( ( c_Pair @ SV183 @ SV403 @ SY3482 @ SY3483 )
             != ( c_Pair @ SY3484 @ SY3485 @ SY3482 @ SY3483 ) )
            | ( SV183 = SY3484 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1034]) ).

thf(1270,plain,
    ! [SV184: $i] :
      ( ( c_Type_Oty_OVoid
        = ( c_Type_Oty_OClass @ SV184 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1036]) ).

thf(1271,plain,
    ! [SV404: $i,SV185: $i] :
      ( ( ! [SY3486: $i,SY3487: $i,SY3488: $i,SY3489: $i,SY3490: $i,SY3491: $i,SY3492: $i,SY3493: $i,SY3494: $i,SY3495: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SY3486 @ SY3487 ) )
             != ( hAPP @ SY3486 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SY3486 @ SY3487 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3488 @ SY3489 @ SY3490 @ SY3491 @ SV185 @ SV404 @ SY3487 )
              = ( c_Type_Oty_Oty__case @ SY3492 @ SY3493 @ SY3494 @ SY3495 @ SY3486 @ SV404 @ SY3487 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1037]) ).

thf(1272,plain,
    ! [SV405: $i,SV186: $i] :
      ( ( ! [SY3496: $i,SY3497: $i] :
            ( ( c_Expr_Oexp_Onew @ SV186 @ SV405 )
           != ( c_Expr_Oexp_OSeq @ SY3496 @ SY3497 @ SV405 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1038]) ).

thf(1273,plain,
    ! [SV406: $i,SV187: $i] :
      ( ( ! [SY3498: $i,SY3499: $i,SY3500: $i] :
            ( ( c_Expr_Oexp_OCast @ SV187 @ SV406 @ SY3498 )
           != ( c_Expr_Oexp_OSeq @ SY3499 @ SY3500 @ SY3498 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1039]) ).

thf(1274,plain,
    ! [SV407: $i,SV188: $i] :
      ( ( ! [SY3501: $i,SY3502: $i,SY3503: $i,SY3504: $i] :
            ( ( c_Expr_Oexp_OCast @ SV188 @ SV407 @ SY3501 )
           != ( c_Expr_Oexp_OFAcc @ SY3502 @ SY3503 @ SY3504 @ SY3501 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1040]) ).

thf(1275,plain,
    ! [SV408: $i,SV189: $i] :
      ( ( ! [SY3505: $i,SY3506: $i,SY3507: $i,SY3508: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV189 @ SV408 @ SY3505 @ SY3506 )
           != ( c_Expr_Oexp_OSeq @ SY3507 @ SY3508 @ SY3506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1041]) ).

thf(1276,plain,
    ! [SV409: $i,SV190: $i] :
      ( ( ! [SY3509: $i,SY3510: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV190 @ SV409 @ SY3509 )
           != ( c_Expr_Oexp_Onew @ SY3510 @ SY3509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1042]) ).

thf(1277,plain,
    ! [SV410: $i,SV191: $i] :
      ( ( ! [SY3511: $i,SY3512: $i,SY3513: $i,SY3514: $i,SY3515: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SY3511 @ SY3512 @ SY3513 )
           != ( c_Expr_Oexp_OCast @ SY3514 @ SY3515 @ SY3513 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1278,plain,
    ! [SV411: $i,SV192: $i] :
      ( ( ! [SY3516: $i] :
            ( ( ( c_Expr_Oexp_Onew @ SV192 @ SV411 )
             != ( c_Expr_Oexp_Onew @ SY3516 @ SV411 ) )
            | ( SV192 = SY3516 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1279,plain,
    ! [SV412: $i,SV193: $i] :
      ( ( ! [SY3517: $i,SY3518: $i,SY3519: $i,SY3520: $i,SY3521: $i,SY3522: $i,SY3523: $i,SY3524: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SY3517 @ SY3518 ) )
             != ( hAPP @ SY3517 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SY3517 @ SY3518 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY3519 @ SY3520 @ SY3521 @ SY3522 @ SV193 @ SV412 @ SY3518 )
              = ( c_Type_Oty_Oty__case @ SY3519 @ SY3523 @ SY3524 @ SY3522 @ SY3517 @ SV412 @ SY3518 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1046]) ).

thf(1280,plain,
    ! [SV413: $i,SV194: $i] :
      ( ( ! [SY3525: $i,SY3526: $i,SY3527: $i,SY3528: $i,SY3529: $i,SY3530: $i,SY3531: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SY3525 @ SY3526 @ SY3527 )
             != ( c_Expr_Oexp_OFAss @ SY3528 @ SY3529 @ SY3530 @ SY3531 @ SY3527 ) )
            | ( SV413 = SY3529 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1047]) ).

thf(1281,plain,
    ! [SV414: $i,SV195: $i] :
      ( ( ! [SY3532: $i,SY3533: $i,SY3534: $i,SY3535: $i] :
            ( ( c_Expr_Oexp_Onew @ SV195 @ SV414 )
           != ( c_Expr_Oexp_OFAss @ SY3532 @ SY3533 @ SY3534 @ SY3535 @ SV414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1049]) ).

thf(1282,plain,
    ! [SV415: $i,SV196: $i] :
      ( ( ! [SY3536: $i,SY3537: $i,SY3538: $i,SY3539: $i,SY3540: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SY3536 @ SY3537 )
             != ( c_Expr_Oexp_OFAcc @ SY3538 @ SY3539 @ SY3540 @ SY3537 ) )
            | ( SV415 = SY3539 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1283,plain,
    ! [SV416: $i,SV197: $i] :
      ( ( ! [SY3541: $i,SY3542: $i,SY3543: $i,SY3544: $i,SY3545: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SY3541 @ SY3542 @ SY3543 )
           != ( c_Expr_Oexp_OSeq @ SY3544 @ SY3545 @ SY3543 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1051]) ).

thf(1284,plain,
    ! [SV417: $i,SV198: $i] :
      ( ( ! [SY3546: $i,SY3547: $i,SY3548: $i,SY3549: $i,SY3550: $i,SY3551: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SY3546 @ SY3547 )
           != ( c_Expr_Oexp_OFAss @ SY3548 @ SY3549 @ SY3550 @ SY3551 @ SY3547 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1052]) ).

thf(1285,plain,
    ! [SV418: $i,SV199: $i] :
      ( ( ! [SY3552: $i,SY3553: $i,SY3554: $i,SY3555: $i,SY3556: $i,SY3557: $i,SY3558: $i,SY3559: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SY3552 @ SY3553 ) )
             != ( hAPP @ SY3552 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SY3552 @ SY3553 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3554 @ SY3555 @ SY3556 @ SY3557 @ SV199 @ SV418 @ SY3553 )
              = ( c_Type_Oty_Oty__case @ SY3558 @ SY3555 @ SY3556 @ SY3559 @ SY3552 @ SV418 @ SY3553 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1053]) ).

thf(1286,plain,
    ! [SV419: $i,SV200: $i] :
      ( ( ! [SY3560: $i,SY3561: $i,SY3562: $i,SY3563: $i,SY3564: $i,SY3565: $i,SY3566: $i,SY3567: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SY3560 @ SY3561 ) )
             != ( hAPP @ SY3560 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SY3560 @ SY3561 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY3562 @ SY3563 @ SY3564 @ SY3565 @ SV200 @ SV419 @ SY3561 )
              = ( c_Type_Oty_Oty__case @ SY3562 @ SY3566 @ SY3564 @ SY3567 @ SY3560 @ SV419 @ SY3561 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1287,plain,
    ! [SV201: $i] :
      ( ( ( c_Type_Oty_OClass @ SV201 )
        = c_Type_Oty_OBoolean )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1055]) ).

thf(1288,plain,
    ! [SV420: $i,SV202: $i] :
      ( ( ! [SY3568: $i,SY3569: $i,SY3570: $i,SY3571: $i,SY3572: $i,SY3573: $i,SY3574: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SY3568 @ SY3569 @ SY3570 )
             != ( c_Expr_Oexp_OFAss @ SY3571 @ SY3572 @ SY3573 @ SY3574 @ SY3570 ) )
            | ( SY3569 = SY3574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1057]) ).

thf(1289,plain,
    ! [SV421: $i,SV203: $i] :
      ( ( ! [SY3575: $i,SY3576: $i,SY3577: $i,SY3578: $i,SY3579: $i,SY3580: $i,SY3581: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SY3575 @ SY3576 @ SY3577 )
             != ( c_Expr_Oexp_OFAss @ SY3578 @ SY3579 @ SY3580 @ SY3581 @ SY3577 ) )
            | ( SY3575 = SY3580 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1290,plain,
    ! [SV422: $i,SV204: $i] :
      ( ( ! [SY3582: $i,SY3583: $i,SY3584: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV204 @ SV422 @ SY3582 )
             != ( c_Expr_Oexp_OCast @ SY3583 @ SY3584 @ SY3582 ) )
            | ( SV204 = SY3583 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1059]) ).

thf(1291,plain,
    ! [SV205: $i] :
      ( ( ( c_Type_Oty_OClass @ SV205 )
        = c_Type_Oty_OVoid )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1060]) ).

thf(1292,plain,
    ! [SV423: $i,SV206: $i] :
      ( ( ! [SY3585: $i,SY3586: $i,SY3587: $i,SY3588: $i,SY3589: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SY3585 @ SY3586 )
             != ( c_Expr_Oexp_OFAcc @ SY3587 @ SY3588 @ SY3589 @ SY3586 ) )
            | ( SV206 = SY3587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1061]) ).

thf(1293,plain,
    ! [SV207: $i] :
      ( ( ( c_Type_Oty_OClass @ SV207 )
        = c_Type_Oty_ONT )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1294,plain,
    ! [SV424: $i,SV208: $i] :
      ( ( ! [SY3590: $i,SY3591: $i,SY3592: $i,SY3593: $i,SY3594: $i,SY3595: $i,SY3596: $i,SY3597: $i,SY3598: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SY3590 @ SY3591 ) )
             != ( hAPP @ SY3590 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SY3590 @ SY3591 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY3592 @ SY3593 @ SY3594 @ SY3595 @ SV208 @ SV424 @ SY3591 )
              = ( c_Type_Oty_Oty__case @ SY3592 @ SY3596 @ SY3597 @ SY3598 @ SY3590 @ SV424 @ SY3591 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1066]) ).

thf(1295,plain,
    ( ( ( v_U____ = c_Type_Oty_ONT )
      = $false )
    | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1067]) ).

thf(1296,plain,
    ! [SV425: $i,SV209: $i] :
      ( ( ! [SY3599: $i,SY3600: $i,SY3601: $i,SY3602: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV209 @ SV425 @ SY3599 @ SY3600 )
           != ( c_Expr_Oexp_OCast @ SY3601 @ SY3602 @ SY3600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1068]) ).

thf(1297,plain,
    ! [SV210: $i] :
      ( ( ( c_Type_Oty_OClass @ SV210 )
        = c_Type_Oty_OInteger )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1069]) ).

thf(1298,plain,
    ! [SV426: $i,SV211: $i] :
      ( ( ! [SY3603: $i,SY3604: $i,SY3605: $i,SY3606: $i,SY3607: $i,SY3608: $i,SY3609: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SY3603 @ SY3604 ) )
             != ( hAPP @ SY3603 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SY3603 @ SY3604 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY3605 @ SY3606 @ SY3607 @ SY3608 @ SV211 @ SV426 @ SY3604 )
              = ( c_Type_Oty_Oty__case @ SY3605 @ SY3609 @ SY3607 @ SY3608 @ SY3603 @ SV426 @ SY3604 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1070]) ).

thf(1299,plain,
    ! [SV212: $i] :
      ( ( c_Type_Oty_OBoolean
        = ( c_Type_Oty_OClass @ SV212 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1071]) ).

thf(1300,plain,
    ! [SV427: $i,SV213: $i] :
      ( ( ! [SY3610: $i,SY3611: $i,SY3612: $i,SY3613: $i,SY3614: $i,SY3615: $i,SY3616: $i,SY3617: $i,SY3618: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SY3610 @ SY3611 ) )
             != ( hAPP @ SY3610 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SY3610 @ SY3611 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3612 @ SY3613 @ SY3614 @ SY3615 @ SV213 @ SV427 @ SY3611 )
              = ( c_Type_Oty_Oty__case @ SY3616 @ SY3617 @ SY3614 @ SY3618 @ SY3610 @ SV427 @ SY3611 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1072]) ).

thf(1301,plain,
    ! [SV428: $i,SV214: $i] :
      ( ( ( ( c_Type_Oty_OClass @ SV214 )
         != ( c_Type_Oty_OClass @ SV428 ) )
        | ( SV214 = SV428 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1302,plain,
    ! [SV429: $i,SV215: $i] :
      ( ( ! [SY3619: $i,SY3620: $i] :
            ( ( c_Expr_Oexp_Onew @ SV215 @ SV429 )
           != ( c_Expr_Oexp_OCast @ SY3619 @ SY3620 @ SV429 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1075]) ).

thf(1303,plain,
    ! [SV430: $i,SV216: $i] :
      ( ( ! [SY3621: $i,SY3622: $i,SY3623: $i,SY3624: $i,SY3625: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SY3621 )
           != ( c_Expr_Oexp_OFAss @ SY3622 @ SY3623 @ SY3624 @ SY3625 @ SY3621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1076]) ).

thf(1304,plain,
    ! [SV431: $i,SV217: $i] :
      ( ( ! [SY3626: $i,SY3627: $i,SY3628: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SV431 @ SY3626 )
             != ( c_Expr_Oexp_OSeq @ SY3627 @ SY3628 @ SY3626 ) )
            | ( SV217 = SY3627 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1077]) ).

thf(1305,plain,
    ! [SV432: $i,SV218: $i] :
      ( ( ! [SY3629: $i,SY3630: $i,SY3631: $i,SY3632: $i,SY3633: $i,SY3634: $i,SY3635: $i,SY3636: $i,SY3637: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SY3629 @ SY3630 ) )
             != ( hAPP @ SY3629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SY3629 @ SY3630 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3631 @ SY3632 @ SY3633 @ SY3634 @ SV218 @ SV432 @ SY3630 )
              = ( c_Type_Oty_Oty__case @ SY3635 @ SY3636 @ SY3637 @ SY3634 @ SY3629 @ SV432 @ SY3630 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1078]) ).

thf(1306,plain,
    ! [SV433: $i,SV219: $i] :
      ( ( ! [SY3638: $i,SY3639: $i] :
            ( ( c_Expr_Oexp_OCast @ SV219 @ SV433 @ SY3638 )
           != ( c_Expr_Oexp_Onew @ SY3639 @ SY3638 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1079]) ).

thf(1307,plain,
    ! [SV220: $i] :
      ( ( c_Type_Oty_ONT
        = ( c_Type_Oty_OClass @ SV220 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1080]) ).

thf(1308,plain,
    ! [SV434: $i,SV221: $i] :
      ( ( ! [SY3640: $i,SY3641: $i,SY3642: $i,SY3643: $i] :
            ( ( ( c_Pair @ SV221 @ SV434 @ SY3640 @ SY3641 )
             != ( c_Pair @ SY3642 @ SY3643 @ SY3640 @ SY3641 ) )
            | ( SV434 = SY3643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1082]) ).

thf(1309,plain,
    ! [SV435: $i,SV222: $i] :
      ( ( ! [SY3644: $i,SY3645: $i,SY3646: $i,SY3647: $i,SY3648: $i,SY3649: $i,SY3650: $i,SY3651: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SY3644 @ SY3645 ) )
             != ( hAPP @ SY3644 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SY3644 @ SY3645 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3646 @ SY3647 @ SY3648 @ SY3649 @ SV222 @ SV435 @ SY3645 )
              = ( c_Type_Oty_Oty__case @ SY3650 @ SY3647 @ SY3651 @ SY3649 @ SY3644 @ SV435 @ SY3645 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1083]) ).

thf(1310,plain,
    ! [SV436: $i,SV223: $i] :
      ( ( ! [SY3652: $i,SY3653: $i,SY3654: $i,SY3655: $i,SY3656: $i,SY3657: $i,SY3658: $i,SY3659: $i,SY3660: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SY3652 @ SY3653 ) )
             != ( hAPP @ SY3652 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SY3652 @ SY3653 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3654 @ SY3655 @ SY3656 @ SY3657 @ SV223 @ SV436 @ SY3653 )
              = ( c_Type_Oty_Oty__case @ SY3658 @ SY3655 @ SY3659 @ SY3660 @ SY3652 @ SV436 @ SY3653 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1311,plain,
    ( ( ( v_U____ = c_Type_Oty_ONT )
      = $false )
    | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1085]) ).

thf(1312,plain,
    ! [SV437: $i,SV224: $i] :
      ( ( ! [SY3661: $i,SY3662: $i,SY3663: $i,SY3664: $i,SY3665: $i,SY3666: $i,SY3667: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SY3661 @ SY3662 ) )
             != ( hAPP @ SY3661 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SY3661 @ SY3662 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY3663 @ SY3664 @ SY3665 @ SY3666 @ SV224 @ SV437 @ SY3662 )
              = ( c_Type_Oty_Oty__case @ SY3663 @ SY3664 @ SY3667 @ SY3666 @ SY3661 @ SV437 @ SY3662 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1086]) ).

thf(1313,plain,
    ! [SV438: $i,SV225: $i] :
      ( ( ! [SY3668: $i,SY3669: $i,SY3670: $i,SY3671: $i,SY3672: $i,SY3673: $i,SY3674: $i,SY3675: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SY3668 @ SY3669 ) )
             != ( hAPP @ SY3668 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SY3668 @ SY3669 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY3670 @ SY3671 @ SY3672 @ SY3673 @ SV225 @ SV438 @ SY3669 )
              = ( c_Type_Oty_Oty__case @ SY3674 @ SY3675 @ SY3672 @ SY3673 @ SY3668 @ SV438 @ SY3669 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1087]) ).

thf(1314,plain,
    ! [SV439: $i,SV226: $i] :
      ( ( ! [SY3676: $i,SY3677: $i,SY3678: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV226 @ SV439 @ SY3676 @ SY3677 )
           != ( c_Expr_Oexp_Onew @ SY3678 @ SY3677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1088]) ).

thf(1315,plain,
    ! [SV440: $i,SV227: $i,SV1: $i] :
      ( ( ! [SY3679: $i,SY3680: $i,SY3681: $i,SY3682: $i,SY3683: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SY3679 @ SY3680 @ SV227 @ SY3681 @ SY3682 @ SY3683 ) @ SY3680 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SY3679 @ SY3680 @ SV227 @ SY3681 @ SY3682 @ SY3683 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SY3682 @ SY3679 @ ( c_Expr_Oexp_OFAss @ SY3681 @ SY3680 @ SV440 @ SY3683 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1089]) ).

thf(1316,plain,
    ! [SV441: $i,SV228: $i,SV2: $i] :
      ( ( ! [SY3684: $i,SY3685: $i,SY3686: $i,SY3687: $i,SY3688: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SY3684 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY3685 @ SV441 @ SY3686 @ SV2 @ SY3684 @ SV228 @ SY3687 ) @ SY3686 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SY3685 @ SV441 @ SY3686 @ SV2 @ SY3684 @ SV228 @ SY3687 ) @ SY3685 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SY3684 @ SY3686 @ SY3685 @ SY3687 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3688 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1317,plain,
    ! [SV442: $i,SV229: $i,SV3: $i] :
      ( ( ! [SY3689: $i,SY3690: $i,SY3691: $i] :
            ( ( c_WellType_OWT @ SV3 @ SV229 @ SV442 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SY3689 @ SV229 @ SY3690 @ SV3 @ SY3691 @ SV442 ) ) )
            | ~ ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SV442 @ SY3690 @ SY3689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3691 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1318,plain,
    ! [SV4: $i] :
      ( ( ( SV4 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV4 = c_Type_Oty_OInteger )
          | ( SV4 = c_Type_Oty_OBoolean )
          | ( SV4 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV4
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1092]) ).

thf(1319,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1093]) ).

thf(1320,plain,
    ! [SV6: $i] :
      ( ( ( SV6 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV6 = c_Type_Oty_OInteger )
          | ( SV6 = c_Type_Oty_OBoolean )
          | ( SV6 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV6
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ SV6 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1094]) ).

thf(1321,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1095]) ).

thf(1322,plain,
    ! [SV443: $i,SV232: $i,SV8: $i] :
      ( ( ! [SY3692: $i,SY3693: $i,SY3694: $i,SY3695: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SY3692 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY3693 @ SV443 @ SY3694 @ SV8 @ SY3695 @ SY3692 @ SV232 ) @ SY3694 @ SY3695 @ SY3693 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SY3692 @ SY3694 @ SY3693 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3695 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1096]) ).

thf(1323,plain,
    ! [SV444: $i,SV233: $i,SV9: $i] :
      ( ( ! [SY3696: $i,SY3697: $i,SY3698: $i,SY3699: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SY3696 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SY3696 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY3697 @ SV444 @ SY3698 @ SV9 @ SY3699 @ SY3696 @ SV233 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SY3696 @ SY3698 @ SY3697 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3699 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1097]) ).

thf(1324,plain,
    ! [SV445: $i,SV234: $i,SV10: $i] :
      ( ( ! [SY3700: $i,SY3701: $i,SY3702: $i,SY3703: $i,SY3704: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SY3700 @ SY3701 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY3702 @ SY3700 @ SY3703 @ SV234 @ SY3701 @ SV445 @ SY3704 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SY3700 @ ( c_Expr_Oexp_OFAss @ SY3701 @ SY3703 @ SY3702 @ SY3704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1098]) ).

thf(1325,plain,
    ! [SV446: $i,SV235: $i,SV11: $i] :
      ( ( ! [SY3705: $i,SY3706: $i,SY3707: $i,SY3708: $i,SY3709: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SY3705 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SY3705 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY3706 @ SV446 @ SY3707 @ SV11 @ SY3705 @ SV235 @ SY3708 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SY3705 @ SY3707 @ SY3706 @ SY3708 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3709 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1099]) ).

thf(1326,plain,
    ! [SV447: $i,SV236: $i,SV12: $i] :
      ( ( ! [SY3710: $i,SY3711: $i,SY3712: $i,SY3713: $i] :
            ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SY3710 @ SY3711 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3712 )
            | ~ ( c_TypeRel_Osees__field @ SV12 @ SY3713 @ SY3710 @ SY3712 @ SY3711 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SY3713 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1327,plain,
    ! [SV448: $i,SV237: $i,SV13: $i] :
      ( ( ! [SY3714: $i,SY3715: $i,SY3716: $i] :
            ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SV448 @ SY3714 @ SV237 @ SY3715 )
            | ~ ( c_TypeRel_Osees__field @ SV13 @ SY3716 @ SV448 @ SY3714 @ SV237 @ SY3715 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1328,plain,
    ! [SV449: $i,SV238: $i,SV14: $i] :
      ( ( ! [SY3717: $i,SY3718: $i,SY3719: $i] :
            ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SV449 @ SY3717 @ SY3718 @ SY3719 )
            | ~ ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SV449 @ SY3717 @ SY3718 @ SY3719 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1102]) ).

thf(1329,plain,
    ! [SV450: $i,SV239: $i,SV15: $i] :
      ( ( ! [SY3720: $i,SY3721: $i,SY3722: $i] :
            ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SV450 @ SY3720 @ SV15 @ SY3721 @ SY3722 ) @ SY3720 @ SY3721 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV15 @ SV450 @ ( c_Expr_Oexp_OFAcc @ SY3722 @ SY3720 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3721 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1330,plain,
    ! [SV451: $i,SV240: $i,SV16: $i] :
      ( ( ! [SY3723: $i,SY3724: $i,SY3725: $i,SY3726: $i,SY3727: $i] :
            ( ( SV16 = SV240 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SY3723 @ SY3724 @ SV16 @ SY3725 @ SY3726 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SY3723 @ SY3724 @ SV240 @ SY3727 @ SY3726 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1331,plain,
    ! [SV452: $i,SV241: $i,SV17: $i] :
      ( ( ! [SY3728: $i,SY3729: $i,SY3730: $i,SY3731: $i,SY3732: $i] :
            ( ( SV17 = SV241 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SY3728 @ SY3729 @ SY3730 @ SV17 @ SY3731 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SY3728 @ SY3729 @ SY3732 @ SV241 @ SY3731 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1332,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1106]) ).

thf(1333,plain,
    ! [SV453: $i,SV243: $i,SV19: $i] :
      ( ( ! [SY3733: $i,SY3734: $i,SY3735: $i,SY3736: $i,SY3737: $i,SY3738: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SY3733 @ SY3734 @ SY3735 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SY3736 @ SY3737 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SY3735 @ SY3736 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY3738 @ SY3733 @ SY3737 @ SY3734 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SY3738 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1334,plain,
    ! [SV454: $i,SV244: $i,SV20: $i] :
      ( ( ! [SY3739: $i,SY3740: $i,SY3741: $i,SY3742: $i] :
            ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SY3739 @ SY3740 @ SY3741 @ SY3742 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY3741 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SY3741 @ SY3742 ) ) ) )
            | ( SY3742 = c_Type_Oty_ONT )
            | ( SY3742 = c_Type_Oty_OInteger )
            | ( SY3742 = c_Type_Oty_OBoolean )
            | ( SY3742 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1335,plain,
    ! [SV455: $i,SV245: $i,SV21: $i] :
      ( ( ! [SY3743: $i,SY3744: $i,SY3745: $i,SY3746: $i] :
            ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SY3743 @ SY3744 @ SY3745 @ SY3746 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SY3745 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SY3745 @ SY3746 ) ) ) )
            | ( SY3746 = c_Type_Oty_ONT )
            | ( SY3746 = c_Type_Oty_OInteger )
            | ( SY3746 = c_Type_Oty_OBoolean )
            | ( SY3746 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1336,plain,
    ! [SV456: $i,SV246: $i,SV22: $i] :
      ( ( ! [SY3747: $i,SY3748: $i,SY3749: $i,SY3750: $i] :
            ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SY3747 @ SY3748 @ SY3749 @ SY3750 @ t_a ) ) )
            | ( SY3750
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SY3749 @ SY3750 ) ) )
            | ( SY3750 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV22 @ SY3747 ) )
            | ( SY3750 = c_Type_Oty_OBoolean )
            | ( SY3750 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1337,plain,
    ! [SV457: $i,SV247: $i,SV23: $i] :
      ( ( ! [SY3751: $i,SY3752: $i,SY3753: $i,SY3754: $i] :
            ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SY3751 @ SY3752 @ SY3753 @ SY3754 @ t_a ) ) )
            | ( SY3754
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SY3753 @ SY3754 ) ) )
            | ( SY3754 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV23 @ SY3751 ) )
            | ( SY3754 = c_Type_Oty_OBoolean )
            | ( SY3754 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1338,plain,
    ! [SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY3755: $i,SY3756: $i,SY3757: $i,SY3758: $i,SY3759: $i,SY3760: $i,SY3761: $i,SY3762: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SY3755 @ SY3756 @ SY3757 @ SV24 @ SY3758 )
              = ( c_Type_Oty_Oty__case @ SY3759 @ SY3760 @ SY3755 @ SY3761 @ SY3762 @ SV24 @ SY3758 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SY3757 @ SY3762 @ SY3758 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1339,plain,
    ! [SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY3763: $i,SY3764: $i,SY3765: $i,SY3766: $i,SY3767: $i,SY3768: $i,SY3769: $i,SY3770: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SY3763 @ SY3764 @ SY3765 @ SV25 @ SY3766 )
              = ( c_Type_Oty_Oty__case @ SY3767 @ SY3768 @ SY3769 @ SY3764 @ SY3770 @ SV25 @ SY3766 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SY3765 @ SY3770 @ SY3766 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1113]) ).

thf(1340,plain,
    ! [SV460: $i,SV250: $i,SV26: $i] :
      ( ( ! [SY3771: $i,SY3772: $i,SY3773: $i,SY3774: $i] :
            ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SY3771 @ SY3772 @ SY3773 @ SY3774 @ t_a ) ) )
            | ( SY3774
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SY3773 @ SY3774 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV26 @ SY3772 ) )
            | ( SY3774 = c_Type_Oty_OInteger )
            | ( SY3774 = c_Type_Oty_OBoolean )
            | ( SY3774 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1341,plain,
    ! [SV461: $i,SV251: $i,SV27: $i] :
      ( ( ! [SY3775: $i,SY3776: $i,SY3777: $i,SY3778: $i] :
            ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SY3775 @ SY3776 @ SY3777 @ SY3778 @ t_a ) ) )
            | ( SY3778
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SY3777 @ SY3778 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV27 @ SY3776 ) )
            | ( SY3778 = c_Type_Oty_OInteger )
            | ( SY3778 = c_Type_Oty_OBoolean )
            | ( SY3778 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1115]) ).

thf(1342,plain,
    ! [SV462: $i,SV252: $i,SV28: $i] :
      ( ( ! [SY3779: $i,SY3780: $i,SY3781: $i,SY3782: $i] :
            ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SY3779 @ SY3780 @ SY3781 @ SY3782 @ t_a ) ) )
            | ( SY3782
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SY3781 @ SY3782 ) ) )
            | ( SY3782 = c_Type_Oty_ONT )
            | ( SY3782 = c_Type_Oty_OInteger )
            | ( SY3782 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1343,plain,
    ! [SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY3783: $i,SY3784: $i,SY3785: $i,SY3786: $i,SY3787: $i,SY3788: $i,SY3789: $i,SY3790: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SY3783 @ SY3784 @ SY3785 @ SY3786 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY3787 @ SY3788 @ SY3789 @ SY3790 @ SY3785 @ SY3786 ) )
            | ( SY3785
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY3785 @ SY3784 @ SY3790 @ SY3786 ) ) )
            | ( SY3785 = c_Type_Oty_ONT )
            | ( SY3785 = c_Type_Oty_OInteger )
            | ( SY3785 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1117]) ).

thf(1344,plain,
    ! [SV464: $i,SV254: $i,SV30: $i] :
      ( ( ! [SY3791: $i,SY3792: $i,SY3793: $i,SY3794: $i] :
            ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SY3791 @ SY3792 @ SY3793 @ SY3794 @ t_a ) ) )
            | ( SY3794
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SY3793 @ SY3794 ) ) )
            | ( SY3794 = c_Type_Oty_ONT )
            | ( SY3794 = c_Type_Oty_OInteger )
            | ( SY3794 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1345,plain,
    ! [SV465: $i,SV255: $i,SV31: $i] :
      ( ( ! [SY3795: $i,SY3796: $i,SY3797: $i,SY3798: $i] :
            ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SY3795 @ SY3796 @ SY3797 @ SY3798 @ t_a ) ) )
            | ( SY3798
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SY3797 @ SY3798 ) ) )
            | ( SY3798 = c_Type_Oty_ONT )
            | ( SY3798 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
            | ( SY3798 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1346,plain,
    ! [SV466: $i,SV256: $i,SV32: $i] :
      ( ( ! [SY3799: $i,SY3800: $i,SY3801: $i,SY3802: $i] :
            ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SY3799 @ SY3800 @ SY3801 @ SY3802 @ t_a ) ) )
            | ( SY3802
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SY3801 @ SY3802 ) ) )
            | ( SY3802 = c_Type_Oty_ONT )
            | ( SY3802 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
            | ( SY3802 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1120]) ).

thf(1347,plain,
    ! [SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY3803: $i,SY3804: $i,SY3805: $i,SY3806: $i,SY3807: $i,SY3808: $i,SY3809: $i,SY3810: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SY3803 @ SY3804 @ SY3805 @ SV33 @ SY3806 )
              = ( c_Type_Oty_Oty__case @ SY3807 @ SV467 @ SY3808 @ SY3809 @ SY3810 @ SV33 @ SY3806 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SY3805 @ SY3810 @ SY3806 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1348,plain,
    ! [SV468: $i,SV258: $i,SV34: $i] :
      ( ( ! [SY3811: $i,SY3812: $i,SY3813: $i,SY3814: $i] :
            ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SY3811 @ SY3812 @ SY3813 @ SY3814 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY3813 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SY3813 @ SY3814 ) ) ) )
            | ( SY3814 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ SY3811 ) )
            | ( SY3814 = c_Type_Oty_OBoolean )
            | ( SY3814 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1349,plain,
    ! [SV469: $i,SV259: $i,SV35: $i] :
      ( ( ! [SY3815: $i,SY3816: $i,SY3817: $i,SY3818: $i] :
            ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SY3815 @ SY3816 @ SY3817 @ SY3818 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SY3817 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SY3817 @ SY3818 ) ) ) )
            | ( SY3818 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ SY3815 ) )
            | ( SY3818 = c_Type_Oty_OBoolean )
            | ( SY3818 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1123]) ).

thf(1350,plain,
    ! [SV470: $i,SV260: $i,SV36: $i] :
      ( ( ! [SY3819: $i,SY3820: $i,SY3821: $i,SY3822: $i] :
            ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SY3819 @ SY3820 @ SY3821 @ SY3822 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SY3821 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SY3821 @ SY3822 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ SY3820 ) )
            | ( SY3822 = c_Type_Oty_OInteger )
            | ( SY3822 = c_Type_Oty_OBoolean )
            | ( SY3822 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1351,plain,
    ! [SV471: $i,SV261: $i,SV37: $i] :
      ( ( ! [SY3823: $i,SY3824: $i,SY3825: $i,SY3826: $i] :
            ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SY3823 @ SY3824 @ SY3825 @ SY3826 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SY3825 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SY3825 @ SY3826 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ SY3824 ) )
            | ( SY3826 = c_Type_Oty_OInteger )
            | ( SY3826 = c_Type_Oty_OBoolean )
            | ( SY3826 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1352,plain,
    ! [SV472: $i,SV262: $i,SV38: $i] :
      ( ( ! [SY3827: $i,SY3828: $i,SY3829: $i,SY3830: $i] :
            ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SY3827 @ SY3828 @ SY3829 @ SY3830 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SY3829 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SY3829 @ SY3830 ) ) ) )
            | ( SY3830 = c_Type_Oty_ONT )
            | ( SY3830 = c_Type_Oty_OInteger )
            | ( SY3830 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1126]) ).

thf(1353,plain,
    ! [SV473: $i,SV263: $i,SV39: $i] :
      ( ( ! [SY3831: $i,SY3832: $i,SY3833: $i,SY3834: $i] :
            ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SY3831 @ SY3832 @ SY3833 @ SY3834 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SY3833 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SY3833 @ SY3834 ) ) ) )
            | ( SY3834 = c_Type_Oty_ONT )
            | ( SY3834 = c_Type_Oty_OInteger )
            | ( SY3834 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1127]) ).

thf(1354,plain,
    ! [SV474: $i,SV264: $i,SV40: $i] :
      ( ( ! [SY3835: $i,SY3836: $i,SY3837: $i,SY3838: $i] :
            ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SY3835 @ SY3836 @ SY3837 @ SY3838 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SY3837 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SY3837 @ SY3838 ) ) ) )
            | ( SY3838 = c_Type_Oty_ONT )
            | ( SY3838 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
            | ( SY3838 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1355,plain,
    ! [SV475: $i,SV265: $i,SV41: $i] :
      ( ( ! [SY3839: $i,SY3840: $i,SY3841: $i,SY3842: $i] :
            ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SY3839 @ SY3840 @ SY3841 @ SY3842 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SY3841 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SY3841 @ SY3842 ) ) ) )
            | ( SY3842 = c_Type_Oty_ONT )
            | ( SY3842 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
            | ( SY3842 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1129]) ).

thf(1356,plain,
    ! [SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY3843: $i,SY3844: $i,SY3845: $i,SY3846: $i,SY3847: $i,SY3848: $i,SY3849: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SY3843 @ SY3844 @ SY3845 @ SV42 @ SY3846 )
              = ( c_Type_Oty_Oty__case @ SY3847 @ SY3848 @ SY3843 @ SY3844 @ SY3849 @ SV42 @ SY3846 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SY3845 @ SY3849 @ SY3846 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1130]) ).

thf(1357,plain,
    ! [SV477: $i,SV267: $i,SV43: $i] :
      ( ( ! [SY3850: $i,SY3851: $i,SY3852: $i,SY3853: $i] :
            ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SY3850 @ SY3851 @ SY3852 @ SY3853 @ t_a ) ) )
            | ( SY3853
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SY3852 @ SY3853 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY3851 ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY3850 ) )
            | ( SY3853 = c_Type_Oty_OBoolean )
            | ( SY3853 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1358,plain,
    ! [SV478: $i,SV268: $i,SV44: $i] :
      ( ( ! [SY3854: $i,SY3855: $i,SY3856: $i,SY3857: $i] :
            ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SY3854 @ SY3855 @ SY3856 @ SY3857 @ t_a ) ) )
            | ( SY3857
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SY3856 @ SY3857 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY3855 ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY3854 ) )
            | ( SY3857 = c_Type_Oty_OBoolean )
            | ( SY3857 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1132]) ).

thf(1359,plain,
    ! [SV479: $i,SV269: $i,SV45: $i] :
      ( ( ! [SY3858: $i,SY3859: $i,SY3860: $i,SY3861: $i] :
            ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SY3858 @ SY3859 @ SY3860 @ SY3861 @ t_a ) ) )
            | ( SY3861
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SY3860 @ SY3861 ) ) )
            | ( SY3861 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SY3858 ) )
            | ( SY3861 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1360,plain,
    ! [SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY3862: $i,SY3863: $i,SY3864: $i,SY3865: $i,SY3866: $i,SY3867: $i,SY3868: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SY3862 @ SY3863 @ SY3864 @ SV46 @ SY3865 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SY3866 @ SY3862 @ SY3867 @ SY3868 @ SV46 @ SY3865 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SY3864 @ SY3868 @ SY3865 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1134]) ).

thf(1361,plain,
    ! [SV481: $i,SV271: $i,SV47: $i] :
      ( ( ! [SY3869: $i,SY3870: $i,SY3871: $i,SY3872: $i] :
            ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SY3869 @ SY3870 @ SY3871 @ SY3872 @ t_a ) ) )
            | ( SY3872
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SY3871 @ SY3872 ) ) )
            | ( SY3872 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SY3869 ) )
            | ( SY3872 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1135]) ).

thf(1362,plain,
    ! [SV482: $i,SV272: $i,SV48: $i] :
      ( ( ! [SY3873: $i,SY3874: $i,SY3875: $i,SY3876: $i] :
            ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SY3873 @ SY3874 @ SY3875 @ SY3876 @ t_a ) ) )
            | ( SY3876
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SY3875 @ SY3876 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SY3874 ) )
            | ( SY3876 = c_Type_Oty_OInteger )
            | ( SY3876 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1363,plain,
    ! [SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY3877: $i,SY3878: $i,SY3879: $i,SY3880: $i,SY3881: $i,SY3882: $i,SY3883: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SY3877 @ SY3878 @ SY3879 @ SV49 @ SY3880 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SY3881 @ SY3882 @ SY3878 @ SY3883 @ SV49 @ SY3880 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SY3879 @ SY3883 @ SY3880 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1137]) ).

thf(1364,plain,
    ! [SV484: $i,SV274: $i,SV50: $i] :
      ( ( ! [SY3884: $i,SY3885: $i,SY3886: $i,SY3887: $i] :
            ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SY3884 @ SY3885 @ SY3886 @ SY3887 @ t_a ) ) )
            | ( SY3887
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SY3886 @ SY3887 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SY3885 ) )
            | ( SY3887 = c_Type_Oty_OInteger )
            | ( SY3887 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1365,plain,
    ! [SV485: $i,SV275: $i,SV51: $i] :
      ( ( ! [SY3888: $i,SY3889: $i,SY3890: $i,SY3891: $i] :
            ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SY3888 @ SY3889 @ SY3890 @ SY3891 @ t_a ) ) )
            | ( SY3891
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SY3890 @ SY3891 ) ) )
            | ( SY3891 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SY3888 ) )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
            | ( SY3891 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1366,plain,
    ! [SV486: $i,SV276: $i,SV52: $i] :
      ( ( ! [SY3892: $i,SY3893: $i,SY3894: $i,SY3895: $i] :
            ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SY3892 @ SY3893 @ SY3894 @ SY3895 @ t_a ) ) )
            | ( SY3895
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SY3894 @ SY3895 ) ) )
            | ( SY3895 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SY3892 ) )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
            | ( SY3895 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1367,plain,
    ! [SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY3896: $i,SY3897: $i,SY3898: $i,SY3899: $i,SY3900: $i,SY3901: $i,SY3902: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SY3896 @ SY3897 @ SY3898 @ SV53 @ SY3899 )
              = ( c_Type_Oty_Oty__case @ SY3900 @ SV487 @ SY3896 @ SY3901 @ SY3902 @ SV53 @ SY3899 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SY3898 @ SY3902 @ SY3899 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1368,plain,
    ! [SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY3903: $i,SY3904: $i,SY3905: $i,SY3906: $i,SY3907: $i,SY3908: $i,SY3909: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SY3903 @ SY3904 @ SY3905 @ SV54 @ SY3906 )
              = ( c_Type_Oty_Oty__case @ SY3907 @ SV488 @ SY3908 @ SY3904 @ SY3909 @ SV54 @ SY3906 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SY3905 @ SY3909 @ SY3906 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1142]) ).

thf(1369,plain,
    ! [SV489: $i,SV279: $i,SV55: $i] :
      ( ( ! [SY3910: $i,SY3911: $i,SY3912: $i,SY3913: $i] :
            ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SY3910 @ SY3911 @ SY3912 @ SY3913 @ t_a ) ) )
            | ( SY3913
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SY3912 @ SY3913 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SY3911 ) )
            | ( SY3913 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
            | ( SY3913 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1143]) ).

thf(1370,plain,
    ! [SV490: $i,SV280: $i,SV56: $i] :
      ( ( ! [SY3914: $i,SY3915: $i,SY3916: $i,SY3917: $i] :
            ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SY3914 @ SY3915 @ SY3916 @ SY3917 @ t_a ) ) )
            | ( SY3917
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SY3916 @ SY3917 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SY3915 ) )
            | ( SY3917 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
            | ( SY3917 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1144]) ).

thf(1371,plain,
    ! [SV491: $i,SV281: $i,SV57: $i] :
      ( ( ! [SY3918: $i,SY3919: $i,SY3920: $i,SY3921: $i] :
            ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SY3918 @ SY3919 @ SY3920 @ SY3921 @ t_a ) ) )
            | ( SY3921
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SY3920 @ SY3921 ) ) )
            | ( SY3921 = c_Type_Oty_ONT )
            | ( SY3921 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1145]) ).

thf(1372,plain,
    ! [SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY3922: $i,SY3923: $i,SY3924: $i,SY3925: $i,SY3926: $i,SY3927: $i,SY3928: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SY3922 @ SY3923 @ SY3924 @ SY3925 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY3926 @ SY3927 @ SY3928 @ SY3924 @ SY3925 ) )
            | ( SY3924
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY3924 @ SY3923 @ SY3928 @ SY3925 ) ) )
            | ( SY3924 = c_Type_Oty_ONT )
            | ( SY3924 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1146]) ).

thf(1373,plain,
    ! [SV493: $i,SV283: $i,SV59: $i] :
      ( ( ! [SY3929: $i,SY3930: $i,SY3931: $i,SY3932: $i] :
            ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SY3929 @ SY3930 @ SY3931 @ SY3932 @ t_a ) ) )
            | ( SY3932
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SY3931 @ SY3932 ) ) )
            | ( SY3932 = c_Type_Oty_ONT )
            | ( SY3932 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1374,plain,
    ! [SV494: $i,SV284: $i,SV60: $i] :
      ( ( ! [SY3933: $i,SY3934: $i,SY3935: $i,SY3936: $i] :
            ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SY3933 @ SY3934 @ SY3935 @ SY3936 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SY3935 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SY3935 @ SY3936 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY3934 ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY3933 ) )
            | ( SY3936 = c_Type_Oty_OBoolean )
            | ( SY3936 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1375,plain,
    ! [SV495: $i,SV285: $i,SV61: $i] :
      ( ( ! [SY3937: $i,SY3938: $i,SY3939: $i,SY3940: $i] :
            ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SY3937 @ SY3938 @ SY3939 @ SY3940 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SY3939 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SY3939 @ SY3940 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY3938 ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY3937 ) )
            | ( SY3940 = c_Type_Oty_OBoolean )
            | ( SY3940 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1376,plain,
    ! [SV496: $i,SV286: $i,SV62: $i] :
      ( ( ! [SY3941: $i,SY3942: $i,SY3943: $i,SY3944: $i] :
            ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SY3941 @ SY3942 @ SY3943 @ SY3944 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SY3943 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SY3943 @ SY3944 ) ) ) )
            | ( SY3944 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SY3941 ) )
            | ( SY3944 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1377,plain,
    ! [SV497: $i,SV287: $i,SV63: $i] :
      ( ( ! [SY3945: $i,SY3946: $i,SY3947: $i,SY3948: $i] :
            ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SY3945 @ SY3946 @ SY3947 @ SY3948 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SY3947 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SY3947 @ SY3948 ) ) ) )
            | ( SY3948 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SY3945 ) )
            | ( SY3948 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1378,plain,
    ! [SV498: $i,SV288: $i,SV64: $i] :
      ( ( ! [SY3949: $i,SY3950: $i,SY3951: $i,SY3952: $i] :
            ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SY3949 @ SY3950 @ SY3951 @ SY3952 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SY3951 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SY3951 @ SY3952 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SY3950 ) )
            | ( SY3952 = c_Type_Oty_OInteger )
            | ( SY3952 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1379,plain,
    ! [SV499: $i,SV289: $i,SV65: $i] :
      ( ( ! [SY3953: $i,SY3954: $i,SY3955: $i,SY3956: $i] :
            ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SY3953 @ SY3954 @ SY3955 @ SY3956 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SY3955 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SY3955 @ SY3956 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SY3954 ) )
            | ( SY3956 = c_Type_Oty_OInteger )
            | ( SY3956 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1380,plain,
    ! [SV500: $i,SV290: $i,SV66: $i] :
      ( ( ! [SY3957: $i,SY3958: $i,SY3959: $i,SY3960: $i] :
            ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SY3957 @ SY3958 @ SY3959 @ SY3960 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SY3959 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SY3959 @ SY3960 ) ) ) )
            | ( SY3960 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SY3957 ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
            | ( SY3960 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1154]) ).

thf(1381,plain,
    ! [SV501: $i,SV291: $i,SV67: $i] :
      ( ( ! [SY3961: $i,SY3962: $i,SY3963: $i,SY3964: $i] :
            ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SY3961 @ SY3962 @ SY3963 @ SY3964 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SY3963 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SY3963 @ SY3964 ) ) ) )
            | ( SY3964 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SY3961 ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
            | ( SY3964 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1382,plain,
    ! [SV502: $i,SV292: $i,SV68: $i] :
      ( ( ! [SY3965: $i,SY3966: $i,SY3967: $i,SY3968: $i] :
            ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SY3965 @ SY3966 @ SY3967 @ SY3968 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SY3967 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SY3967 @ SY3968 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SY3966 ) )
            | ( SY3968 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
            | ( SY3968 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1383,plain,
    ! [SV503: $i,SV293: $i,SV69: $i] :
      ( ( ! [SY3969: $i,SY3970: $i,SY3971: $i,SY3972: $i] :
            ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SY3969 @ SY3970 @ SY3971 @ SY3972 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SY3971 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SY3971 @ SY3972 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SY3970 ) )
            | ( SY3972 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
            | ( SY3972 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1384,plain,
    ! [SV504: $i,SV294: $i,SV70: $i] :
      ( ( ! [SY3973: $i,SY3974: $i,SY3975: $i,SY3976: $i] :
            ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SY3973 @ SY3974 @ SY3975 @ SY3976 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SY3975 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SY3975 @ SY3976 ) ) ) )
            | ( SY3976 = c_Type_Oty_ONT )
            | ( SY3976 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1385,plain,
    ! [SV505: $i,SV295: $i,SV71: $i] :
      ( ( ! [SY3977: $i,SY3978: $i,SY3979: $i,SY3980: $i] :
            ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SY3977 @ SY3978 @ SY3979 @ SY3980 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY3979 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SY3979 @ SY3980 ) ) ) )
            | ( SY3980 = c_Type_Oty_ONT )
            | ( SY3980 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1386,plain,
    ! [SV506: $i,SV296: $i,SV72: $i] :
      ( ( ! [SY3981: $i,SY3982: $i,SY3983: $i,SY3984: $i] :
            ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SY3981 @ SY3982 @ SY3983 @ SY3984 @ t_a ) ) )
            | ( SY3984
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SY3983 @ SY3984 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY3982 ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY3981 ) )
            | ( SY3984 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1387,plain,
    ! [SV507: $i,SV297: $i,SV73: $i] :
      ( ( ! [SY3985: $i,SY3986: $i,SY3987: $i,SY3988: $i,SY3989: $i,SY3990: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SY3985 @ SY3986 @ SY3987 @ SV73 @ SY3988 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SY3989 @ SY3985 @ SY3986 @ SY3990 @ SV73 @ SY3988 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SY3987 @ SY3990 @ SY3988 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1388,plain,
    ! [SV508: $i,SV298: $i,SV74: $i] :
      ( ( ! [SY3991: $i,SY3992: $i,SY3993: $i,SY3994: $i] :
            ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SY3991 @ SY3992 @ SY3993 @ SY3994 @ t_a ) ) )
            | ( SY3994
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SY3993 @ SY3994 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY3992 ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY3991 ) )
            | ( SY3994 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1389,plain,
    ! [SV509: $i,SV299: $i,SV75: $i] :
      ( ( ! [SY3995: $i,SY3996: $i,SY3997: $i,SY3998: $i,SY3999: $i,SY4000: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SY3995 @ SY3996 @ SY3997 @ SV75 @ SY3998 )
              = ( c_Type_Oty_Oty__case @ SY3999 @ SV509 @ SY3995 @ SY3996 @ SY4000 @ SV75 @ SY3998 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SY3997 @ SY4000 @ SY3998 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1390,plain,
    ! [SV510: $i,SV300: $i,SV76: $i] :
      ( ( ! [SY4001: $i,SY4002: $i,SY4003: $i,SY4004: $i] :
            ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SY4001 @ SY4002 @ SY4003 @ SY4004 @ t_a ) ) )
            | ( SY4004
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SY4003 @ SY4004 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY4002 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY4001 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
            | ( SY4004 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1391,plain,
    ! [SV511: $i,SV301: $i,SV77: $i] :
      ( ( ! [SY4005: $i,SY4006: $i,SY4007: $i,SY4008: $i] :
            ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SY4005 @ SY4006 @ SY4007 @ SY4008 @ t_a ) ) )
            | ( SY4008
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SY4007 @ SY4008 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY4006 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY4005 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
            | ( SY4008 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1392,plain,
    ! [SV512: $i,SV302: $i,SV78: $i] :
      ( ( ! [SY4009: $i,SY4010: $i,SY4011: $i,SY4012: $i] :
            ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SY4009 @ SY4010 @ SY4011 @ SY4012 @ t_a ) ) )
            | ( SY4012
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SY4011 @ SY4012 ) ) )
            | ( SY4012 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SY4009 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1166]) ).

thf(1393,plain,
    ! [SV513: $i,SV303: $i,SV79: $i] :
      ( ( ! [SY4013: $i,SY4014: $i,SY4015: $i,SY4016: $i,SY4017: $i,SY4018: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SY4013 @ SY4014 @ SY4015 @ SY4016 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SY4017 @ SY4018 @ SY4015 @ SY4016 ) )
            | ( SY4015
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4015 @ SY4014 @ SY4018 @ SY4016 ) ) )
            | ( SY4015 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1394,plain,
    ! [SV514: $i,SV304: $i,SV80: $i] :
      ( ( ! [SY4019: $i,SY4020: $i,SY4021: $i,SY4022: $i] :
            ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SY4019 @ SY4020 @ SY4021 @ SY4022 @ t_a ) ) )
            | ( SY4022
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SY4021 @ SY4022 ) ) )
            | ( SY4022 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SY4019 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1395,plain,
    ! [SV515: $i,SV305: $i,SV81: $i] :
      ( ( ! [SY4023: $i,SY4024: $i,SY4025: $i,SY4026: $i] :
            ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SY4023 @ SY4024 @ SY4025 @ SY4026 @ t_a ) ) )
            | ( SY4026
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SY4025 @ SY4026 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY4024 ) )
            | ( SY4026 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1396,plain,
    ! [SV516: $i,SV306: $i,SV82: $i] :
      ( ( ! [SY4027: $i,SY4028: $i,SY4029: $i,SY4030: $i,SY4031: $i,SY4032: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SY4027 @ SY4028 @ SY4029 @ SV82 @ SY4030 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SY4031 @ SY4028 @ SY4032 @ SV82 @ SY4030 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SY4029 @ SY4032 @ SY4030 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1397,plain,
    ! [SV517: $i,SV307: $i,SV83: $i] :
      ( ( ! [SY4033: $i,SY4034: $i,SY4035: $i,SY4036: $i] :
            ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SY4033 @ SY4034 @ SY4035 @ SY4036 @ t_a ) ) )
            | ( SY4036
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SY4035 @ SY4036 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY4034 ) )
            | ( SY4036 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1398,plain,
    ! [SV518: $i,SV308: $i,SV84: $i] :
      ( ( ! [SY4037: $i,SY4038: $i,SY4039: $i,SY4040: $i] :
            ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SY4037 @ SY4038 @ SY4039 @ SY4040 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SY4039 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SY4039 @ SY4040 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY4038 ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY4037 ) )
            | ( SY4040 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1399,plain,
    ! [SV519: $i,SV309: $i,SV85: $i] :
      ( ( ! [SY4041: $i,SY4042: $i,SY4043: $i,SY4044: $i] :
            ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SY4041 @ SY4042 @ SY4043 @ SY4044 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SY4043 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SY4043 @ SY4044 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY4042 ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY4041 ) )
            | ( SY4044 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1400,plain,
    ! [SV520: $i,SV310: $i,SV86: $i] :
      ( ( ! [SY4045: $i,SY4046: $i,SY4047: $i,SY4048: $i] :
            ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SY4045 @ SY4046 @ SY4047 @ SY4048 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SY4047 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SY4047 @ SY4048 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY4046 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY4045 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
            | ( SY4048 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1401,plain,
    ! [SV521: $i,SV311: $i,SV87: $i] :
      ( ( ! [SY4049: $i,SY4050: $i,SY4051: $i,SY4052: $i] :
            ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SY4049 @ SY4050 @ SY4051 @ SY4052 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY4051 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SY4051 @ SY4052 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY4050 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY4049 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
            | ( SY4052 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1402,plain,
    ! [SV522: $i,SV312: $i,SV88: $i] :
      ( ( ! [SY4053: $i,SY4054: $i,SY4055: $i,SY4056: $i] :
            ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SY4053 @ SY4054 @ SY4055 @ SY4056 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SY4055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SY4055 @ SY4056 ) ) ) )
            | ( SY4056 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SY4053 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1403,plain,
    ! [SV523: $i,SV313: $i,SV89: $i] :
      ( ( ! [SY4057: $i,SY4058: $i,SY4059: $i,SY4060: $i] :
            ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SY4057 @ SY4058 @ SY4059 @ SY4060 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SY4059 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SY4059 @ SY4060 ) ) ) )
            | ( SY4060 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SY4057 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1404,plain,
    ! [SV524: $i,SV314: $i,SV90: $i] :
      ( ( ! [SY4061: $i,SY4062: $i,SY4063: $i,SY4064: $i] :
            ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SY4061 @ SY4062 @ SY4063 @ SY4064 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SY4063 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SY4063 @ SY4064 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY4062 ) )
            | ( SY4064 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1405,plain,
    ! [SV525: $i,SV315: $i,SV91: $i] :
      ( ( ! [SY4065: $i,SY4066: $i,SY4067: $i,SY4068: $i] :
            ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SY4065 @ SY4066 @ SY4067 @ SY4068 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SY4067 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SY4067 @ SY4068 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY4066 ) )
            | ( SY4068 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1406,plain,
    ! [SV526: $i,SV316: $i,SV92: $i] :
      ( ( c_TypeRel_Owiden @ SV92 @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ SV316 ) @ SV526 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1407,plain,
    ! [SV527: $i,SV317: $i,SV93: $i] :
      ( ( ! [SY4069: $i,SY4070: $i,SY4071: $i,SY4072: $i] :
            ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SY4069 @ SY4070 @ SY4071 @ SY4072 @ t_a ) ) )
            | ( SY4072
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SY4071 @ SY4072 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY4070 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY4069 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1408,plain,
    ! [SV528: $i,SV318: $i,SV94: $i] :
      ( ( ! [SY4073: $i,SY4074: $i,SY4075: $i,SY4076: $i,SY4077: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SY4073 @ SY4074 @ SY4075 @ SY4076 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SY4073 @ SY4077 @ SY4075 @ SY4076 ) )
            | ( SY4075
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4075 @ SY4074 @ SY4077 @ SY4076 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1409,plain,
    ! [SV529: $i,SV319: $i,SV95: $i] :
      ( ( ! [SY4078: $i,SY4079: $i,SY4080: $i,SY4081: $i] :
            ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SY4078 @ SY4079 @ SY4080 @ SY4081 @ t_a ) ) )
            | ( SY4081
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SY4080 @ SY4081 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY4079 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY4078 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1410,plain,
    ! [SV530: $i,SV320: $i,SV96: $i] :
      ( ( ! [SY4082: $i,SY4083: $i,SY4084: $i,SY4085: $i] :
            ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SY4082 @ SY4083 @ SY4084 @ SY4085 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SY4084 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SY4084 @ SY4085 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY4083 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY4082 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1411,plain,
    ! [SV531: $i,SV321: $i,SV97: $i] :
      ( ( ! [SY4086: $i,SY4087: $i,SY4088: $i,SY4089: $i] :
            ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SY4086 @ SY4087 @ SY4088 @ SY4089 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SY4088 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SY4088 @ SY4089 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY4087 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY4086 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1412,plain,
    ! [SV532: $i,SV322: $i,SV98: $i] :
      ( ( c_TypeRel_Owiden @ SV98 @ SV322 @ SV322 @ SV532 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1186]) ).

thf(1413,plain,
    ! [SV533: $i,SV323: $i,SV99: $i] :
      ( ( ! [SY4090: $i,SY4091: $i] :
            ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SY4090 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SY4091 @ SV533 @ SY4090 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SY4091 @ SY4090 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1414,plain,
    ! [SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY4092: $i,SY4093: $i,SY4094: $i,SY4095: $i,SY4096: $i,SY4097: $i,SY4098: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SY4092 @ SY4093 @ SY4094 @ SY4095 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY4096 @ SY4097 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SY4095 @ SY4096 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY4098 @ SY4093 @ SY4097 @ SY4094 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SY4092 @ ( c_Type_Oty_OClass @ SY4098 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1415,plain,
    ! [SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY4099: $i,SY4100: $i,SY4101: $i,SY4102: $i,SY4103: $i,SY4104: $i,SY4105: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SY4099 @ SY4100 @ SY4101 @ SY4102 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY4103 @ SY4104 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SY4102 @ SY4103 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY4105 @ SY4100 @ SY4104 @ SY4101 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SY4099 @ ( c_Type_Oty_OClass @ SY4105 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1416,plain,
    ! [SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY4106: $i,SY4107: $i,SY4108: $i,SY4109: $i,SY4110: $i,SY4111: $i,SY4112: $i,SY4113: $i,SY4114: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SY4106 @ SY4107 @ SY4108 @ SY4109 )
              = ( c_Type_Oty_Oty__case @ SY4110 @ SY4111 @ SY4112 @ SY4113 @ SY4114 @ SY4108 @ SY4109 ) )
            | ( SY4108
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4108 @ SY4107 @ SY4114 @ SY4109 ) ) )
            | ( SY4108 = c_Type_Oty_ONT )
            | ( SY4108 = c_Type_Oty_OInteger )
            | ( SY4108 = c_Type_Oty_OBoolean )
            | ( SY4108 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1417,plain,
    ! [SV537: $i,SV327: $i,SV103: $i] :
      ( ( ! [SY4115: $i,SY4116: $i,SY4117: $i,SY4118: $i] :
            ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SY4115 @ SY4116 @ SY4117 @ SY4118 @ t_a ) ) )
            | ( SY4118
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SY4117 @ SY4118 ) ) )
            | ( SY4118 = c_Type_Oty_ONT )
            | ( SY4118 = c_Type_Oty_OInteger )
            | ( SY4118 = c_Type_Oty_OBoolean )
            | ( SY4118 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1418,plain,
    ! [SV538: $i,SV328: $i,SV104: $i] :
      ( ( ! [SY4119: $i,SY4120: $i,SY4121: $i,SY4122: $i] :
            ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SY4119 @ SY4120 @ SY4121 @ SY4122 @ t_a ) ) )
            | ( SY4122
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SY4121 @ SY4122 ) ) )
            | ( SY4122 = c_Type_Oty_ONT )
            | ( SY4122 = c_Type_Oty_OInteger )
            | ( SY4122 = c_Type_Oty_OBoolean )
            | ( SY4122 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1419,plain,
    ! [SV329: $i,SV105: $i] :
      ( ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ SV105 @ v_P @ SV329 @ v_e_Ha____ @ v_h_Ha____ ) @ SV329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV105 @ v_ea____ @ SV329 )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV105 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1193]) ).

thf(1420,plain,
    ! [SV330: $i,SV106: $i] :
      ( ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV106 @ v_P @ SV330 @ v_e_Ha____ @ v_h_Ha____ ) @ SV330 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV106 @ v_ea____ @ SV330 )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV106 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1194]) ).

thf(1421,plain,
    ! [SV331: $i,SV107: $i] :
      ( ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ SV107 @ v_P @ SV331 @ v_e_Ha____ @ v_h_Ha____ ) @ SV331 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV107 @ v_ea____ @ SV331 )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV107 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1195]) ).

thf(1422,plain,
    ! [SV108: $i] :
      ( ( ( SV108 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV108 = c_Type_Oty_OVoid )
          | ( c_Type_Ois__refT @ SV108 ) )
        = $true )
      | ( ( SV108 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1196]) ).

thf(1423,plain,
    ! [SV539: $i,SV332: $i,SV109: $i] :
      ( ( ! [SY4123: $i,SY4124: $i,SY4125: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SV539 @ SY4123 @ SY4124 @ SY4125 @ c_Type_Oty_OVoid @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV109 @ SV332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1424,plain,
    ! [SV540: $i,SV333: $i,SV110: $i] :
      ( ( ! [SY4126: $i,SY4127: $i,SY4128: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SV540 @ SY4126 @ SY4127 @ SY4128 @ c_Type_Oty_OBoolean @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV110 @ SV540 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1198]) ).

thf(1425,plain,
    ! [SV541: $i,SV334: $i,SV111: $i] :
      ( ( ! [SY4129: $i,SY4130: $i,SY4131: $i] :
            ( ( c_Type_Oty_Oty__case @ SV111 @ SV334 @ SV541 @ SY4129 @ SY4130 @ c_Type_Oty_OBoolean @ SY4131 )
            = SV334 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1199]) ).

thf(1426,plain,
    ! [SV542: $i,SV335: $i,SV112: $i] :
      ( ( ! [SY4132: $i,SY4133: $i,SY4134: $i,SY4135: $i] :
            ( ( SV112 = c_Type_Oty_OVoid )
            | ~ ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SY4132 @ SY4133 @ SY4134 @ SY4135 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1200]) ).

thf(1427,plain,
    ! [SV543: $i,SV336: $i,SV114: $i] :
      ( ( ( c_Objects_Ohext @ SV114 @ SV336 )
        | ~ ( c_Objects_Ohext @ SV543 @ SV336 )
        | ~ ( c_Objects_Ohext @ SV114 @ SV543 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1428,plain,
    ! [SV544: $i,SV337: $i,SV115: $i] :
      ( ( ! [SY4136: $i,SY4137: $i,SY4138: $i,SY4139: $i,SY4140: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SY4136 @ SY4137 @ SY4138 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4139 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY4140 @ SY4137 @ SY4139 @ SY4138 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SY4136 @ ( c_Type_Oty_OClass @ SY4140 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1429,plain,
    ! [SV545: $i,SV338: $i,SV116: $i] :
      ( ( ! [SY4141: $i,SY4142: $i,SY4143: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV116 @ SV338 @ SV545 @ SY4141 @ SY4142 @ c_Type_Oty_OInteger @ SY4143 )
            = SV545 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1430,plain,
    ! [SV546: $i,SV339: $i,SV117: $i] :
      ( ( ! [SY4144: $i,SY4145: $i,SY4146: $i,SY4147: $i,SY4148: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SY4144 @ c_Type_Oty_ONT )
            | ( SY4145 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SY4144 @ SY4146 @ SY4147 @ SY4148 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4145 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1204]) ).

thf(1431,plain,
    ! [SV547: $i,SV341: $i,SV119: $i] :
      ( ( ! [SY4149: $i,SY4150: $i,SY4151: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SY4149 @ SY4150 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY4149 ) )
            | ~ ( c_Decl_Ois__class @ SV119 @ SY4149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY4151 )
            | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SY4150 @ SY4151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1206]) ).

thf(1432,plain,
    ! [SV548: $i,SV342: $i,SV120: $i] :
      ( ( ! [SY4152: $i] :
            ( ( c_Progress_OWTrt_H @ SV120 @ SV342 @ SV548 @ ( c_Expr_Oexp_Onew @ SY4152 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY4152 ) )
            | ~ ( c_Decl_Ois__class @ SV120 @ SY4152 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1207]) ).

thf(1433,plain,
    ! [SV549: $i,SV343: $i,SV121: $i] :
      ( ( ! [SY4153: $i,SY4154: $i,SY4155: $i] :
            ( ( c_Type_Oty_Oty__case @ SV121 @ SV343 @ SV549 @ SY4153 @ SY4154 @ c_Type_Oty_ONT @ SY4155 )
            = SY4153 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1208]) ).

thf(1434,plain,
    ! [SV550: $i,SV344: $i,SV122: $i] :
      ( ( ! [SY4156: $i,SY4157: $i,SY4158: $i] :
            ( ( c_Type_Oty_Oty__case @ SV122 @ SV344 @ SV550 @ SY4156 @ SY4157 @ c_Type_Oty_OInteger @ SY4158 )
            = SV550 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1435,plain,
    ! [SV551: $i,SV345: $i,SV123: $i] :
      ( ( ! [SY4159: $i,SY4160: $i,SY4161: $i] :
            ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SY4159 @ SY4160 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY4159 ) )
            | ~ ( c_Decl_Ois__class @ SV123 @ SY4159 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY4161 )
            | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SY4160 @ SY4161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1436,plain,
    ! [SV552: $i,SV346: $i,SV124: $i] :
      ( ( c_Map_Omap__le @ SV124 @ SV124 @ SV346 @ SV552 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1211]) ).

thf(1437,plain,
    ! [SV553: $i,SV347: $i,SV125: $i] :
      ( ( ! [SY4162: $i,SY4163: $i] :
            ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SY4162 )
            | ~ ( c_Map_Omap__le @ SY4163 @ SV347 @ SV553 @ SY4162 )
            | ~ ( c_Map_Omap__le @ SV125 @ SY4163 @ SV553 @ SY4162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1212]) ).

thf(1438,plain,
    ! [SV554: $i,SV348: $i,SV126: $i] :
      ( ( ! [SY4164: $i,SY4165: $i] :
            ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SY4164 )
            | ~ ( c_Map_Omap__le @ SY4165 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellType_OWT @ SV126 @ SY4165 @ SV554 @ SY4164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1213]) ).

thf(1439,plain,
    ! [SV555: $i,SV349: $i,SV127: $i] :
      ( ( ( c_WellType_OWT @ SV127 @ SV349 @ ( c_Expr_Oexp_Onew @ SV555 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV555 ) )
        | ~ ( c_Decl_Ois__class @ SV127 @ SV555 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1214]) ).

thf(1440,plain,
    ! [SV556: $i,SV350: $i,SV128: $i] :
      ( ( ! [SY4166: $i,SY4167: $i] :
            ( ( SV128
              = ( c_Type_Oty_OClass @ SV350 ) )
            | ~ ( c_WellType_OWT @ SV556 @ SY4166 @ ( c_Expr_Oexp_OCast @ SV350 @ SY4167 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1215]) ).

thf(1441,plain,
    ! [SV557: $i,SV351: $i,SV129: $i] :
      ( ( ! [SY4168: $i,SY4169: $i] :
            ( ( c_Decl_Ois__class @ SV129 @ SV351 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV129 @ SV557 @ SY4168 @ ( c_Expr_Oexp_Onew @ SV351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1442,plain,
    ! [SV558: $i,SV352: $i,SV130: $i] :
      ( ( ! [SY4170: $i,SY4171: $i] :
            ( ( c_Decl_Ois__class @ SV130 @ SV352 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV130 @ SV558 @ ( c_Expr_Oexp_OCast @ SV352 @ SY4170 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1217]) ).

thf(1443,plain,
    ! [SV559: $i,SV353: $i,SV131: $i] :
      ( ( ! [SY4172: $i,SY4173: $i,SY4174: $i,SY4175: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SY4172 @ SY4173 @ SY4174 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4175 )
            | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SY4172 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1218]) ).

thf(1444,plain,
    ! [SV560: $i,SV354: $i,SV132: $i] :
      ( ( ! [SY4176: $i,SY4177: $i,SY4178: $i,SY4179: $i] :
            ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SY4176 @ SY4177 @ SY4178 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4179 )
            | ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SY4176 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1219]) ).

thf(1445,plain,
    ! [SV561: $i,SV355: $i,SV133: $i] :
      ( ( ! [SY4180: $i,SY4181: $i,SY4182: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SV561 @ SY4180 @ SY4181 @ SY4182 @ c_Type_Oty_ONT @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV133 @ SY4181 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1220]) ).

thf(1446,plain,
    ! [SV562: $i,SV356: $i,SV134: $i] :
      ( ( ! [SY4183: $i,SY4184: $i,SY4185: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV134 @ SV356 @ SV562 @ SY4183 @ SY4184 @ c_Type_Oty_ONT @ SY4185 )
            = SY4183 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1447,plain,
    ! [SV563: $i,SV357: $i,SV135: $i] :
      ( ( ! [SY4186: $i] :
            ( ( SV135 = SV357 )
            | ~ ( c_Map_Omap__le @ SV357 @ SV135 @ SV563 @ SY4186 )
            | ~ ( c_Map_Omap__le @ SV135 @ SV357 @ SV563 @ SY4186 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1222]) ).

thf(1448,plain,
    ! [SV564: $i,SV358: $i,SV136: $i] :
      ( ( ! [SY4187: $i,SY4188: $i,SY4189: $i,SY4190: $i,SY4191: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SY4187 @ ( c_Expr_Oexp_OFAss @ SY4188 @ SY4189 @ SY4190 @ SY4191 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1223]) ).

thf(1449,plain,
    ! [SV565: $i,SV359: $i,SV137: $i] :
      ( ( ! [SY4192: $i,SY4193: $i,SY4194: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SV565 @ SY4192 @ SY4193 @ SY4194 @ c_Type_Oty_OInteger @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV137 @ SY4192 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1224]) ).

thf(1450,plain,
    ! [SV566: $i,SV360: $i,SV138: $i] :
      ( ( ! [SY4195: $i] :
            ( ( SV138
              = ( c_Type_Oty_OClass @ SV360 ) )
            | ~ ( c_WellType_OWT @ SV566 @ SY4195 @ ( c_Expr_Oexp_Onew @ SV360 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1225]) ).

thf(1451,plain,
    ! [SV567: $i,SV361: $i,SV139: $i] :
      ( ( ! [SY4196: $i] :
            ( ( c_Decl_Ois__class @ SV139 @ SV361 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV139 @ SV567 @ ( c_Expr_Oexp_Onew @ SV361 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1226]) ).

thf(1452,plain,
    ! [SV568: $i,SV362: $i,SV140: $i] :
      ( ( ! [SY4197: $i,SY4198: $i,SY4199: $i,SY4200: $i,SY4201: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SY4197 @ SY4198 @ SY4199 @ SY4200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SY4200 @ SY4201 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SY4197 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1227]) ).

thf(1453,plain,
    ! [SV569: $i,SV363: $i,SV141: $i] :
      ( ( ! [SY4202: $i,SY4203: $i,SY4204: $i,SY4205: $i] :
            ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SY4202 @ SY4203 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4204 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SY4203 @ SY4204 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SY4202 @ SY4205 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1228]) ).

thf(1454,plain,
    ! [SV570: $i,SV364: $i,SV142: $i] :
      ( ( ! [SY4206: $i,SY4207: $i,SY4208: $i] :
            ( ( c_Type_Oty_Oty__case @ SV142 @ SV364 @ SV570 @ SY4206 @ SY4207 @ c_Type_Oty_OVoid @ SY4208 )
            = SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1229]) ).

thf(1455,plain,
    ! [SV571: $i,SV365: $i,SV143: $i] :
      ( ( ! [SY4209: $i,SY4210: $i,SY4211: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV143 @ SV365 @ SV571 @ SY4209 @ SY4210 @ c_Type_Oty_OBoolean @ SY4211 )
            = SV365 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1230]) ).

thf(1456,plain,
    ! [SV572: $i,SV366: $i,SV144: $i] :
      ( ( ! [SY4212: $i,SY4213: $i,SY4214: $i] :
            ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SY4212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4213 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SY4212 @ SY4213 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SY4214 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1231]) ).

thf(1457,plain,
    ! [SV573: $i,SV367: $i,SV145: $i] :
      ( ( ! [SY4215: $i,SY4216: $i,SY4217: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV145 @ SV367 @ SV573 @ SY4215 @ SY4216 @ c_Type_Oty_OVoid @ SY4217 )
            = SV145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1232]) ).

thf(1458,plain,
    ! [SV574: $i,SV368: $i,SV146: $i] :
      ( ( ! [SY4218: $i,SY4219: $i,SY4220: $i,SY4221: $i,SY4222: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SY4218 @ SY4219 @ SY4220 @ SY4221 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SY4221 @ SY4222 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SY4218 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1233]) ).

thf(1459,plain,
    ! [SV575: $i,SV369: $i,SV147: $i] :
      ( ( ! [SY4223: $i,SY4224: $i,SY4225: $i] :
            ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV147 @ SV575 @ SY4223 @ ( c_Expr_Oexp_OCast @ SV369 @ SY4224 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4225 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1234]) ).

thf(1460,plain,
    ! [SV576: $i,SV370: $i,SV148: $i] :
      ( ( ! [SY4226: $i,SY4227: $i,SY4228: $i] :
            ( ( SV148
              = ( c_Type_Oty_OClass @ SV370 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV576 @ SY4226 @ SY4227 @ ( c_Expr_Oexp_OCast @ SV370 @ SY4228 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1235]) ).

thf(1461,plain,
    ! [SV577: $i,SV371: $i,SV149: $i] :
      ( ( ! [SY4229: $i,SY4230: $i,SY4231: $i,SY4232: $i] :
            ( ( c_Type_Oty_Oty__case @ SV149 @ SV371 @ SV577 @ SY4229 @ SY4230 @ ( c_Type_Oty_OClass @ SY4231 ) @ SY4232 )
            = ( hAPP @ SY4230 @ SY4231 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1236]) ).

thf(1462,plain,
    ! [SV578: $i,SV372: $i,SV150: $i] :
      ( ( ! [SY4233: $i,SY4234: $i,SY4235: $i,SY4236: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SY4233 @ SY4234 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4235 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SY4234 @ SY4235 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SY4233 @ SY4236 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1237]) ).

thf(1463,plain,
    ! [SV373: $i,SV151: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV151 @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ SV151 @ v_P @ SV373 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV151 @ v_ea____ @ SV373 )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV151 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1238]) ).

thf(1464,plain,
    ! [SV579: $i,SV374: $i,SV152: $i] :
      ( ( ! [SY4237: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV152 @ SV374 @ SV579 @ ( c_Expr_Oexp_Onew @ SY4237 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SY4237 ) )
            | ~ ( c_Decl_Ois__class @ SV152 @ SY4237 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1465,plain,
    ! [SV580: $i,SV375: $i,SV153: $i] :
      ( ( ! [SY4238: $i,SY4239: $i] :
            ( ( SV153
              = ( c_Type_Oty_OClass @ SV375 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV580 @ SY4238 @ SY4239 @ ( c_Expr_Oexp_Onew @ SV375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1466,plain,
    ! [SV581: $i,SV376: $i,SV154: $i] :
      ( ( ! [SY4240: $i,SY4241: $i,SY4242: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SY4240 @ SY4241 )
            | ~ ( c_Map_Omap__le @ SY4242 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SY4242 @ SY4240 @ SY4241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1467,plain,
    ! [SV582: $i,SV377: $i,SV155: $i] :
      ( ( ! [SY4243: $i,SY4244: $i,SY4245: $i,SY4246: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV155 @ SV377 @ SV582 @ SY4243 @ SY4244 @ ( c_Type_Oty_OClass @ SY4245 ) @ SY4246 )
            = ( hAPP @ SY4244 @ SY4245 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1242]) ).

thf(1468,plain,
    ! [SV378: $i,SV156: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV156 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ SV156 @ v_P @ SV378 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV156 @ v_ea____ @ SV378 )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV156 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1243]) ).

thf(1469,plain,
    ! [SV583: $i,SV379: $i,SV157: $i] :
      ( ( ! [SY4247: $i,SY4248: $i] :
            ( ( c_Progress_OWTrt_H @ SV157 @ SV379 @ SV583 @ SY4247 @ SY4248 )
            | ~ ( c_WellTypeRT_OWTrt @ SV157 @ SV379 @ SV583 @ SY4247 @ SY4248 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1244]) ).

thf(1470,plain,
    ! [SV584: $i,SV380: $i,SV158: $i] :
      ( ( ! [SY4249: $i,SY4250: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV158 @ SV380 @ SV584 @ SY4249 @ SY4250 )
            | ~ ( c_Progress_OWTrt_H @ SV158 @ SV380 @ SV584 @ SY4249 @ SY4250 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1471,plain,
    ! [SV585: $i,SV381: $i,SV159: $i] :
      ( ( ! [SY4251: $i,SY4252: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV159 @ SV381 @ SV585 @ SY4251 @ SY4252 )
            | ~ ( c_WellType_OWT @ SV159 @ SV585 @ SY4251 @ SY4252 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1246]) ).

thf(1472,plain,
    ! [SV586: $i,SV382: $i,SV160: $i] :
      ( ( ! [SY4253: $i,SY4254: $i,SY4255: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SY4253 @ SY4254 )
            | ~ ( c_Objects_Ohext @ SY4255 @ SV382 )
            | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SY4255 @ SV586 @ SY4253 @ SY4254 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1473,plain,
    ! [SV587: $i,SV383: $i,SV161: $i] :
      ( ( ! [SY4256: $i,SY4257: $i,SY4258: $i,SY4259: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SY4256 @ SY4257 @ SY4258 @ ( c_Type_Oty_OClass @ SY4259 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SY4258 @ SY4259 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1474,plain,
    ! [SV588: $i,SV384: $i,SV162: $i] :
      ( ( ! [SY4260: $i,SY4261: $i,SY4262: $i,SY4263: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SY4260 @ SY4261 @ SY4262 @ ( c_Type_Oty_OClass @ SY4263 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SY4262 @ SY4263 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1475,plain,
    ! [SV385: $i,SV163: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV163 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV163 @ v_P @ SV385 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV163 @ v_ea____ @ SV385 )
          | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV163 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1250]) ).

thf(1476,plain,
    ! [SV589: $i,SV386: $i,SV165: $i] :
      ( ( ! [SY4264: $i,SY4265: $i,SY4266: $i,SY4267: $i,SY4268: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SY4264 @ SY4265 @ SY4266 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4267 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY4268 @ SY4265 @ SY4267 @ SY4266 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SY4264 @ ( c_Type_Oty_OClass @ SY4268 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1251]) ).

thf(1477,plain,
    ! [SV590: $i,SV388: $i,SV167: $i] :
      ( ( ( SV167 = SV388 )
        | ~ ( c_fequal @ SV167 @ SV388 @ SV590 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1253]) ).

thf(1478,plain,
    ! [SV591: $i,SV389: $i,SV168: $i] :
      ( ( ! [SY4269: $i,SY4270: $i,SY4271: $i,SY4272: $i,SY4273: $i,SY4274: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SY4269 ) )
             != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SY4269 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SY4270 @ SY4271 @ SY4272 @ SY4273 @ SV168 @ SV389 @ SY4269 )
              = ( c_Type_Oty_Oty__case @ SY4270 @ SY4271 @ SY4272 @ SY4274 @ SV591 @ SV389 @ SY4269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1254]) ).

thf(1479,plain,
    ! [SV592: $i,SV390: $i,SV170: $i] :
      ( ( ! [SY4275: $i,SY4276: $i,SY4277: $i,SY4278: $i,SY4279: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SY4275 @ SY4276 )
           != ( c_Expr_Oexp_OFAcc @ SY4277 @ SY4278 @ SY4279 @ SY4276 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1480,plain,
    ! [SV593: $i,SV391: $i,SV171: $i] :
      ( ( ! [SY4280: $i,SY4281: $i] :
            ( ( c_Expr_Oexp_Onew @ SV171 @ SV391 )
           != ( c_Expr_Oexp_OFAcc @ SV593 @ SY4280 @ SY4281 @ SV391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1481,plain,
    ! [SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY4282: $i,SY4283: $i,SY4284: $i,SY4285: $i,SY4286: $i,SY4287: $i,SY4288: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SY4282 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SY4282 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY4283 @ SY4284 @ SY4285 @ SY4286 @ SV172 @ SV392 @ SY4282 )
              = ( c_Type_Oty_Oty__case @ SY4283 @ SY4284 @ SY4287 @ SY4288 @ SV594 @ SV392 @ SY4282 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1482,plain,
    ! [SV595: $i,SV393: $i,SV173: $i] :
      ( ( ! [SY4289: $i,SY4290: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV393 @ SV595 )
             != ( c_Expr_Oexp_OSeq @ SY4289 @ SY4290 @ SV595 ) )
            | ( SV393 = SY4290 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1483,plain,
    ! [SV596: $i,SV394: $i,SV174: $i] :
      ( ( ! [SY4291: $i,SY4292: $i,SY4293: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV174 @ SV394 @ SV596 )
           != ( c_Expr_Oexp_OFAcc @ SY4291 @ SY4292 @ SY4293 @ SV596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1484,plain,
    ! [SV597: $i,SV395: $i,SV175: $i] :
      ( ( ! [SY4294: $i,SY4295: $i,SY4296: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV175 @ SV395 @ SV597 @ SY4294 @ SY4295 )
           != ( c_Expr_Oexp_Onew @ SY4296 @ SY4295 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1485,plain,
    ! [SV598: $i,SV396: $i,SV176: $i] :
      ( ( ! [SY4297: $i,SY4298: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV176 @ SV396 @ SV598 )
           != ( c_Expr_Oexp_OCast @ SY4297 @ SY4298 @ SV598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1486,plain,
    ! [SV599: $i,SV397: $i,SV177: $i] :
      ( ( ! [SY4299: $i,SY4300: $i,SY4301: $i,SY4302: $i,SY4303: $i,SY4304: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SY4299 ) )
             != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SY4299 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4300 @ SY4301 @ SY4302 @ SY4303 @ SV177 @ SV397 @ SY4299 )
              = ( c_Type_Oty_Oty__case @ SY4304 @ SY4301 @ SY4302 @ SY4303 @ SV599 @ SV397 @ SY4299 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1263]) ).

thf(1487,plain,
    ! [SV600: $i,SV398: $i,SV178: $i] :
      ( ( ! [SY4305: $i,SY4306: $i,SY4307: $i,SY4308: $i,SY4309: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SY4305 ) )
             != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SY4305 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SY4306 @ SY4307 @ SY4308 @ SY4309 @ SV178 @ SV398 @ SY4305 )
              = ( c_Type_Oty_Oty__case @ SY4306 @ SY4307 @ SY4308 @ SY4309 @ SV600 @ SV398 @ SY4305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1264]) ).

thf(1488,plain,
    ! [SV601: $i,SV399: $i,SV179: $i] :
      ( ( ! [SY4310: $i,SY4311: $i,SY4312: $i,SY4313: $i,SY4314: $i,SY4315: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SY4310 @ SY4311 )
             != ( c_Expr_Oexp_OFAss @ SY4312 @ SY4313 @ SY4314 @ SY4315 @ SY4311 ) )
            | ( SV179 = SY4312 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1265]) ).

thf(1489,plain,
    ! [SV602: $i,SV400: $i,SV180: $i] :
      ( ( ! [SY4316: $i,SY4317: $i,SY4318: $i,SY4319: $i] :
            ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SV602 )
           != ( c_Expr_Oexp_OFAss @ SY4316 @ SY4317 @ SY4318 @ SY4319 @ SV602 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1490,plain,
    ! [SV603: $i,SV401: $i,SV181: $i] :
      ( ( ! [SY4320: $i,SY4321: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV181 @ SV401 @ SV603 )
             != ( c_Expr_Oexp_OCast @ SY4320 @ SY4321 @ SV603 ) )
            | ( SV401 = SY4321 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1267]) ).

thf(1491,plain,
    ! [SV604: $i,SV402: $i,SV182: $i] :
      ( ( ! [SY4322: $i,SY4323: $i,SY4324: $i,SY4325: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SY4322 )
             != ( c_Expr_Oexp_OFAcc @ SY4323 @ SY4324 @ SY4325 @ SY4322 ) )
            | ( SV604 = SY4325 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1492,plain,
    ! [SV605: $i,SV403: $i,SV183: $i] :
      ( ( ! [SY4326: $i,SY4327: $i,SY4328: $i] :
            ( ( ( c_Pair @ SV183 @ SV403 @ SV605 @ SY4326 )
             != ( c_Pair @ SY4327 @ SY4328 @ SV605 @ SY4326 ) )
            | ( SV183 = SY4327 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1493,plain,
    ! [SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY4329: $i,SY4330: $i,SY4331: $i,SY4332: $i,SY4333: $i,SY4334: $i,SY4335: $i,SY4336: $i,SY4337: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SY4329 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SY4329 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4330 @ SY4331 @ SY4332 @ SY4333 @ SV185 @ SV404 @ SY4329 )
              = ( c_Type_Oty_Oty__case @ SY4334 @ SY4335 @ SY4336 @ SY4337 @ SV606 @ SV404 @ SY4329 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1494,plain,
    ! [SV607: $i,SV405: $i,SV186: $i] :
      ( ( ! [SY4338: $i] :
            ( ( c_Expr_Oexp_Onew @ SV186 @ SV405 )
           != ( c_Expr_Oexp_OSeq @ SV607 @ SY4338 @ SV405 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1272]) ).

thf(1495,plain,
    ! [SV608: $i,SV406: $i,SV187: $i] :
      ( ( ! [SY4339: $i,SY4340: $i] :
            ( ( c_Expr_Oexp_OCast @ SV187 @ SV406 @ SV608 )
           != ( c_Expr_Oexp_OSeq @ SY4339 @ SY4340 @ SV608 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1273]) ).

thf(1496,plain,
    ! [SV609: $i,SV407: $i,SV188: $i] :
      ( ( ! [SY4341: $i,SY4342: $i,SY4343: $i] :
            ( ( c_Expr_Oexp_OCast @ SV188 @ SV407 @ SV609 )
           != ( c_Expr_Oexp_OFAcc @ SY4341 @ SY4342 @ SY4343 @ SV609 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1497,plain,
    ! [SV610: $i,SV408: $i,SV189: $i] :
      ( ( ! [SY4344: $i,SY4345: $i,SY4346: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV189 @ SV408 @ SV610 @ SY4344 )
           != ( c_Expr_Oexp_OSeq @ SY4345 @ SY4346 @ SY4344 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1498,plain,
    ! [SV611: $i,SV409: $i,SV190: $i] :
      ( ( ! [SY4347: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV190 @ SV409 @ SV611 )
           != ( c_Expr_Oexp_Onew @ SY4347 @ SV611 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1499,plain,
    ! [SV612: $i,SV410: $i,SV191: $i] :
      ( ( ! [SY4348: $i,SY4349: $i,SY4350: $i,SY4351: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SV612 @ SY4348 @ SY4349 )
           != ( c_Expr_Oexp_OCast @ SY4350 @ SY4351 @ SY4349 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1277]) ).

thf(1500,plain,
    ! [SV613: $i,SV411: $i,SV192: $i] :
      ( ( ( ( c_Expr_Oexp_Onew @ SV192 @ SV411 )
         != ( c_Expr_Oexp_Onew @ SV613 @ SV411 ) )
        | ( SV192 = SV613 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1278]) ).

thf(1501,plain,
    ! [SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY4352: $i,SY4353: $i,SY4354: $i,SY4355: $i,SY4356: $i,SY4357: $i,SY4358: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SY4352 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SY4352 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY4353 @ SY4354 @ SY4355 @ SY4356 @ SV193 @ SV412 @ SY4352 )
              = ( c_Type_Oty_Oty__case @ SY4353 @ SY4357 @ SY4358 @ SY4356 @ SV614 @ SV412 @ SY4352 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1502,plain,
    ! [SV615: $i,SV413: $i,SV194: $i] :
      ( ( ! [SY4359: $i,SY4360: $i,SY4361: $i,SY4362: $i,SY4363: $i,SY4364: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SY4359 @ SY4360 )
             != ( c_Expr_Oexp_OFAss @ SY4361 @ SY4362 @ SY4363 @ SY4364 @ SY4360 ) )
            | ( SV413 = SY4362 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1280]) ).

thf(1503,plain,
    ! [SV616: $i,SV414: $i,SV195: $i] :
      ( ( ! [SY4365: $i,SY4366: $i,SY4367: $i] :
            ( ( c_Expr_Oexp_Onew @ SV195 @ SV414 )
           != ( c_Expr_Oexp_OFAss @ SV616 @ SY4365 @ SY4366 @ SY4367 @ SV414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1281]) ).

thf(1504,plain,
    ! [SV617: $i,SV415: $i,SV196: $i] :
      ( ( ! [SY4368: $i,SY4369: $i,SY4370: $i,SY4371: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SY4368 )
             != ( c_Expr_Oexp_OFAcc @ SY4369 @ SY4370 @ SY4371 @ SY4368 ) )
            | ( SV415 = SY4370 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1505,plain,
    ! [SV618: $i,SV416: $i,SV197: $i] :
      ( ( ! [SY4372: $i,SY4373: $i,SY4374: $i,SY4375: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SV618 @ SY4372 @ SY4373 )
           != ( c_Expr_Oexp_OSeq @ SY4374 @ SY4375 @ SY4373 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1283]) ).

thf(1506,plain,
    ! [SV619: $i,SV417: $i,SV198: $i] :
      ( ( ! [SY4376: $i,SY4377: $i,SY4378: $i,SY4379: $i,SY4380: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SY4376 )
           != ( c_Expr_Oexp_OFAss @ SY4377 @ SY4378 @ SY4379 @ SY4380 @ SY4376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1284]) ).

thf(1507,plain,
    ! [SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY4381: $i,SY4382: $i,SY4383: $i,SY4384: $i,SY4385: $i,SY4386: $i,SY4387: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SY4381 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SY4381 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4382 @ SY4383 @ SY4384 @ SY4385 @ SV199 @ SV418 @ SY4381 )
              = ( c_Type_Oty_Oty__case @ SY4386 @ SY4383 @ SY4384 @ SY4387 @ SV620 @ SV418 @ SY4381 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1285]) ).

thf(1508,plain,
    ! [SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY4388: $i,SY4389: $i,SY4390: $i,SY4391: $i,SY4392: $i,SY4393: $i,SY4394: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SY4388 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SY4388 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY4389 @ SY4390 @ SY4391 @ SY4392 @ SV200 @ SV419 @ SY4388 )
              = ( c_Type_Oty_Oty__case @ SY4389 @ SY4393 @ SY4391 @ SY4394 @ SV621 @ SV419 @ SY4388 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1286]) ).

thf(1509,plain,
    ! [SV622: $i,SV420: $i,SV202: $i] :
      ( ( ! [SY4395: $i,SY4396: $i,SY4397: $i,SY4398: $i,SY4399: $i,SY4400: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SY4395 @ SY4396 )
             != ( c_Expr_Oexp_OFAss @ SY4397 @ SY4398 @ SY4399 @ SY4400 @ SY4396 ) )
            | ( SY4395 = SY4400 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1288]) ).

thf(1510,plain,
    ! [SV623: $i,SV421: $i,SV203: $i] :
      ( ( ! [SY4401: $i,SY4402: $i,SY4403: $i,SY4404: $i,SY4405: $i,SY4406: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SY4401 @ SY4402 )
             != ( c_Expr_Oexp_OFAss @ SY4403 @ SY4404 @ SY4405 @ SY4406 @ SY4402 ) )
            | ( SV623 = SY4405 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1289]) ).

thf(1511,plain,
    ! [SV624: $i,SV422: $i,SV204: $i] :
      ( ( ! [SY4407: $i,SY4408: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV204 @ SV422 @ SV624 )
             != ( c_Expr_Oexp_OCast @ SY4407 @ SY4408 @ SV624 ) )
            | ( SV204 = SY4407 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1290]) ).

thf(1512,plain,
    ! [SV625: $i,SV423: $i,SV206: $i] :
      ( ( ! [SY4409: $i,SY4410: $i,SY4411: $i,SY4412: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SY4409 )
             != ( c_Expr_Oexp_OFAcc @ SY4410 @ SY4411 @ SY4412 @ SY4409 ) )
            | ( SV206 = SY4410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1292]) ).

thf(1513,plain,
    ! [SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY4413: $i,SY4414: $i,SY4415: $i,SY4416: $i,SY4417: $i,SY4418: $i,SY4419: $i,SY4420: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SY4413 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SY4413 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY4414 @ SY4415 @ SY4416 @ SY4417 @ SV208 @ SV424 @ SY4413 )
              = ( c_Type_Oty_Oty__case @ SY4414 @ SY4418 @ SY4419 @ SY4420 @ SV626 @ SV424 @ SY4413 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1514,plain,
    ! [SV627: $i,SV425: $i,SV209: $i] :
      ( ( ! [SY4421: $i,SY4422: $i,SY4423: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV209 @ SV425 @ SV627 @ SY4421 )
           != ( c_Expr_Oexp_OCast @ SY4422 @ SY4423 @ SY4421 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1515,plain,
    ! [SV628: $i,SV426: $i,SV211: $i] :
      ( ( ! [SY4424: $i,SY4425: $i,SY4426: $i,SY4427: $i,SY4428: $i,SY4429: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SY4424 ) )
             != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SY4424 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY4425 @ SY4426 @ SY4427 @ SY4428 @ SV211 @ SV426 @ SY4424 )
              = ( c_Type_Oty_Oty__case @ SY4425 @ SY4429 @ SY4427 @ SY4428 @ SV628 @ SV426 @ SY4424 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1516,plain,
    ! [SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY4430: $i,SY4431: $i,SY4432: $i,SY4433: $i,SY4434: $i,SY4435: $i,SY4436: $i,SY4437: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SY4430 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SY4430 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4431 @ SY4432 @ SY4433 @ SY4434 @ SV213 @ SV427 @ SY4430 )
              = ( c_Type_Oty_Oty__case @ SY4435 @ SY4436 @ SY4433 @ SY4437 @ SV629 @ SV427 @ SY4430 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1300]) ).

thf(1517,plain,
    ! [SV428: $i,SV214: $i] :
      ( ( ( ( c_Type_Oty_OClass @ SV214 )
         != ( c_Type_Oty_OClass @ SV428 ) )
        = $true )
      | ( ( SV214 = SV428 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1301]) ).

thf(1518,plain,
    ! [SV630: $i,SV429: $i,SV215: $i] :
      ( ( ! [SY4438: $i] :
            ( ( c_Expr_Oexp_Onew @ SV215 @ SV429 )
           != ( c_Expr_Oexp_OCast @ SV630 @ SY4438 @ SV429 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1302]) ).

thf(1519,plain,
    ! [SV631: $i,SV430: $i,SV216: $i] :
      ( ( ! [SY4439: $i,SY4440: $i,SY4441: $i,SY4442: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SV631 )
           != ( c_Expr_Oexp_OFAss @ SY4439 @ SY4440 @ SY4441 @ SY4442 @ SV631 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1303]) ).

thf(1520,plain,
    ! [SV632: $i,SV431: $i,SV217: $i] :
      ( ( ! [SY4443: $i,SY4444: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SV431 @ SV632 )
             != ( c_Expr_Oexp_OSeq @ SY4443 @ SY4444 @ SV632 ) )
            | ( SV217 = SY4443 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1521,plain,
    ! [SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY4445: $i,SY4446: $i,SY4447: $i,SY4448: $i,SY4449: $i,SY4450: $i,SY4451: $i,SY4452: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SY4445 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SY4445 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4446 @ SY4447 @ SY4448 @ SY4449 @ SV218 @ SV432 @ SY4445 )
              = ( c_Type_Oty_Oty__case @ SY4450 @ SY4451 @ SY4452 @ SY4449 @ SV633 @ SV432 @ SY4445 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1305]) ).

thf(1522,plain,
    ! [SV634: $i,SV433: $i,SV219: $i] :
      ( ( ! [SY4453: $i] :
            ( ( c_Expr_Oexp_OCast @ SV219 @ SV433 @ SV634 )
           != ( c_Expr_Oexp_Onew @ SY4453 @ SV634 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1523,plain,
    ! [SV635: $i,SV434: $i,SV221: $i] :
      ( ( ! [SY4454: $i,SY4455: $i,SY4456: $i] :
            ( ( ( c_Pair @ SV221 @ SV434 @ SV635 @ SY4454 )
             != ( c_Pair @ SY4455 @ SY4456 @ SV635 @ SY4454 ) )
            | ( SV434 = SY4456 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1524,plain,
    ! [SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY4457: $i,SY4458: $i,SY4459: $i,SY4460: $i,SY4461: $i,SY4462: $i,SY4463: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SY4457 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SY4457 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4458 @ SY4459 @ SY4460 @ SY4461 @ SV222 @ SV435 @ SY4457 )
              = ( c_Type_Oty_Oty__case @ SY4462 @ SY4459 @ SY4463 @ SY4461 @ SV636 @ SV435 @ SY4457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1525,plain,
    ! [SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY4464: $i,SY4465: $i,SY4466: $i,SY4467: $i,SY4468: $i,SY4469: $i,SY4470: $i,SY4471: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SY4464 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SY4464 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4465 @ SY4466 @ SY4467 @ SY4468 @ SV223 @ SV436 @ SY4464 )
              = ( c_Type_Oty_Oty__case @ SY4469 @ SY4466 @ SY4470 @ SY4471 @ SV637 @ SV436 @ SY4464 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1310]) ).

thf(1526,plain,
    ! [SV638: $i,SV437: $i,SV224: $i] :
      ( ( ! [SY4472: $i,SY4473: $i,SY4474: $i,SY4475: $i,SY4476: $i,SY4477: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SY4472 ) )
             != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SY4472 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY4473 @ SY4474 @ SY4475 @ SY4476 @ SV224 @ SV437 @ SY4472 )
              = ( c_Type_Oty_Oty__case @ SY4473 @ SY4474 @ SY4477 @ SY4476 @ SV638 @ SV437 @ SY4472 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1312]) ).

thf(1527,plain,
    ! [SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY4478: $i,SY4479: $i,SY4480: $i,SY4481: $i,SY4482: $i,SY4483: $i,SY4484: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SY4478 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SY4478 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4479 @ SY4480 @ SY4481 @ SY4482 @ SV225 @ SV438 @ SY4478 )
              = ( c_Type_Oty_Oty__case @ SY4483 @ SY4484 @ SY4481 @ SY4482 @ SV639 @ SV438 @ SY4478 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1528,plain,
    ! [SV640: $i,SV439: $i,SV226: $i] :
      ( ( ! [SY4485: $i,SY4486: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV226 @ SV439 @ SV640 @ SY4485 )
           != ( c_Expr_Oexp_Onew @ SY4486 @ SY4485 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1314]) ).

thf(1529,plain,
    ! [SV641: $i,SV440: $i,SV227: $i,SV1: $i] :
      ( ( ! [SY4487: $i,SY4488: $i,SY4489: $i,SY4490: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SY4487 @ SV227 @ SY4488 @ SY4489 @ SY4490 ) @ SY4487 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SY4487 @ SV227 @ SY4488 @ SY4489 @ SY4490 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SY4489 @ SV641 @ ( c_Expr_Oexp_OFAss @ SY4488 @ SY4487 @ SV440 @ SY4490 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1315]) ).

thf(1530,plain,
    ! [SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ! [SY4491: $i,SY4492: $i,SY4493: $i,SY4494: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY4491 @ SV441 @ SY4492 @ SV2 @ SV642 @ SV228 @ SY4493 ) @ SY4492 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SY4491 @ SV441 @ SY4492 @ SV2 @ SV642 @ SV228 @ SY4493 ) @ SY4491 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SY4492 @ SY4491 @ SY4493 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4494 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1531,plain,
    ! [SV643: $i,SV442: $i,SV229: $i,SV3: $i] :
      ( ( ! [SY4495: $i,SY4496: $i] :
            ( ( c_WellType_OWT @ SV3 @ SV229 @ SV442 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV643 @ SV229 @ SY4495 @ SV3 @ SY4496 @ SV442 ) ) )
            | ~ ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SV442 @ SY4495 @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1317]) ).

thf(1532,plain,
    ! [SV4: $i] :
      ( ( ( SV4 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV4 = c_Type_Oty_OBoolean )
          | ( SV4 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV4 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV4
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1318]) ).

thf(1533,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1319]) ).

thf(1534,plain,
    ! [SV6: $i] :
      ( ( ( SV6 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV6 = c_Type_Oty_OBoolean )
          | ( SV6 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV6 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV6
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ SV6 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1320]) ).

thf(1535,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1321]) ).

thf(1536,plain,
    ! [SV644: $i,SV443: $i,SV232: $i,SV8: $i] :
      ( ( ! [SY4497: $i,SY4498: $i,SY4499: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY4497 @ SV443 @ SY4498 @ SV8 @ SY4499 @ SV644 @ SV232 ) @ SY4498 @ SY4499 @ SY4497 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SY4498 @ SY4497 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4499 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1537,plain,
    ! [SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ! [SY4500: $i,SY4501: $i,SY4502: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY4500 @ SV444 @ SY4501 @ SV9 @ SY4502 @ SV645 @ SV233 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SY4501 @ SY4500 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4502 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1538,plain,
    ! [SV646: $i,SV445: $i,SV234: $i,SV10: $i] :
      ( ( ! [SY4503: $i,SY4504: $i,SY4505: $i,SY4506: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SY4503 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY4504 @ SV646 @ SY4505 @ SV234 @ SY4503 @ SV445 @ SY4506 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SY4503 @ SY4505 @ SY4504 @ SY4506 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1324]) ).

thf(1539,plain,
    ! [SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ! [SY4507: $i,SY4508: $i,SY4509: $i,SY4510: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY4507 @ SV446 @ SY4508 @ SV11 @ SV647 @ SV235 @ SY4509 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SY4508 @ SY4507 @ SY4509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1540,plain,
    ! [SV648: $i,SV447: $i,SV236: $i,SV12: $i] :
      ( ( ! [SY4511: $i,SY4512: $i,SY4513: $i] :
            ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SY4511 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4512 )
            | ~ ( c_TypeRel_Osees__field @ SV12 @ SY4513 @ SV648 @ SY4512 @ SY4511 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SY4513 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1541,plain,
    ! [SV649: $i,SV448: $i,SV237: $i,SV13: $i] :
      ( ( ! [SY4514: $i,SY4515: $i] :
            ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SV448 @ SV649 @ SV237 @ SY4514 )
            | ~ ( c_TypeRel_Osees__field @ SV13 @ SY4515 @ SV448 @ SV649 @ SV237 @ SY4514 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1327]) ).

thf(1542,plain,
    ! [SV650: $i,SV449: $i,SV238: $i,SV14: $i] :
      ( ( ! [SY4516: $i,SY4517: $i] :
            ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SV449 @ SV650 @ SY4516 @ SY4517 )
            | ~ ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SV449 @ SV650 @ SY4516 @ SY4517 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1543,plain,
    ! [SV651: $i,SV450: $i,SV239: $i,SV15: $i] :
      ( ( ! [SY4518: $i,SY4519: $i] :
            ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SV450 @ SV651 @ SV15 @ SY4518 @ SY4519 ) @ SV651 @ SY4518 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV15 @ SV450 @ ( c_Expr_Oexp_OFAcc @ SY4519 @ SV651 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4518 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1544,plain,
    ! [SV652: $i,SV451: $i,SV240: $i,SV16: $i] :
      ( ( ! [SY4520: $i,SY4521: $i,SY4522: $i,SY4523: $i] :
            ( ( SV16 = SV240 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SY4520 @ SV16 @ SY4521 @ SY4522 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SY4520 @ SV240 @ SY4523 @ SY4522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1330]) ).

thf(1545,plain,
    ! [SV653: $i,SV452: $i,SV241: $i,SV17: $i] :
      ( ( ! [SY4524: $i,SY4525: $i,SY4526: $i,SY4527: $i] :
            ( ( SV17 = SV241 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SY4524 @ SY4525 @ SV17 @ SY4526 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SY4524 @ SY4527 @ SV241 @ SY4526 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1331]) ).

thf(1546,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1332]) ).

thf(1547,plain,
    ! [SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ! [SY4528: $i,SY4529: $i,SY4530: $i,SY4531: $i,SY4532: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SY4528 @ SY4529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SY4530 @ SY4531 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SY4529 @ SY4530 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY4532 @ SV654 @ SY4531 @ SY4528 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SY4532 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1548,plain,
    ! [SV655: $i,SV454: $i,SV244: $i,SV20: $i] :
      ( ( ! [SY4533: $i,SY4534: $i,SY4535: $i] :
            ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SY4533 @ SY4534 @ SY4535 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY4534 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SY4534 @ SY4535 ) ) ) )
            | ( SY4535 = c_Type_Oty_ONT )
            | ( SY4535 = c_Type_Oty_OInteger )
            | ( SY4535 = c_Type_Oty_OBoolean )
            | ( SY4535 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1549,plain,
    ! [SV656: $i,SV455: $i,SV245: $i,SV21: $i] :
      ( ( ! [SY4536: $i,SY4537: $i,SY4538: $i] :
            ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SY4536 @ SY4537 @ SY4538 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SY4537 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SY4537 @ SY4538 ) ) ) )
            | ( SY4538 = c_Type_Oty_ONT )
            | ( SY4538 = c_Type_Oty_OInteger )
            | ( SY4538 = c_Type_Oty_OBoolean )
            | ( SY4538 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1550,plain,
    ! [SV657: $i,SV456: $i,SV246: $i,SV22: $i] :
      ( ( ! [SY4539: $i,SY4540: $i,SY4541: $i] :
            ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SY4539 @ SY4540 @ SY4541 @ t_a ) ) )
            | ( SY4541
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SY4540 @ SY4541 ) ) )
            | ( SY4541 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
            | ( SY4541 = c_Type_Oty_OBoolean )
            | ( SY4541 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1336]) ).

thf(1551,plain,
    ! [SV658: $i,SV457: $i,SV247: $i,SV23: $i] :
      ( ( ! [SY4542: $i,SY4543: $i,SY4544: $i] :
            ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SY4542 @ SY4543 @ SY4544 @ t_a ) ) )
            | ( SY4544
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SY4543 @ SY4544 ) ) )
            | ( SY4544 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
            | ( SY4544 = c_Type_Oty_OBoolean )
            | ( SY4544 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1337]) ).

thf(1552,plain,
    ! [SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY4545: $i,SY4546: $i,SY4547: $i,SY4548: $i,SY4549: $i,SY4550: $i,SY4551: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SY4545 @ SY4546 @ SV24 @ SY4547 )
              = ( c_Type_Oty_Oty__case @ SY4548 @ SY4549 @ SV659 @ SY4550 @ SY4551 @ SV24 @ SY4547 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SY4546 @ SY4551 @ SY4547 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1553,plain,
    ! [SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY4552: $i,SY4553: $i,SY4554: $i,SY4555: $i,SY4556: $i,SY4557: $i,SY4558: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SY4552 @ SY4553 @ SV25 @ SY4554 )
              = ( c_Type_Oty_Oty__case @ SY4555 @ SY4556 @ SY4557 @ SY4552 @ SY4558 @ SV25 @ SY4554 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SY4553 @ SY4558 @ SY4554 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1339]) ).

thf(1554,plain,
    ! [SV661: $i,SV460: $i,SV250: $i,SV26: $i] :
      ( ( ! [SY4559: $i,SY4560: $i,SY4561: $i] :
            ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SY4559 @ SY4560 @ SY4561 @ t_a ) ) )
            | ( SY4561
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SY4560 @ SY4561 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV26 @ SY4559 ) )
            | ( SY4561 = c_Type_Oty_OInteger )
            | ( SY4561 = c_Type_Oty_OBoolean )
            | ( SY4561 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1340]) ).

thf(1555,plain,
    ! [SV662: $i,SV461: $i,SV251: $i,SV27: $i] :
      ( ( ! [SY4562: $i,SY4563: $i,SY4564: $i] :
            ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SY4562 @ SY4563 @ SY4564 @ t_a ) ) )
            | ( SY4564
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SY4563 @ SY4564 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV27 @ SY4562 ) )
            | ( SY4564 = c_Type_Oty_OInteger )
            | ( SY4564 = c_Type_Oty_OBoolean )
            | ( SY4564 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1341]) ).

thf(1556,plain,
    ! [SV663: $i,SV462: $i,SV252: $i,SV28: $i] :
      ( ( ! [SY4565: $i,SY4566: $i,SY4567: $i] :
            ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SY4565 @ SY4566 @ SY4567 @ t_a ) ) )
            | ( SY4567
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SY4566 @ SY4567 ) ) )
            | ( SY4567 = c_Type_Oty_ONT )
            | ( SY4567 = c_Type_Oty_OInteger )
            | ( SY4567 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1557,plain,
    ! [SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY4568: $i,SY4569: $i,SY4570: $i,SY4571: $i,SY4572: $i,SY4573: $i,SY4574: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SY4568 @ SY4569 @ SY4570 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY4571 @ SY4572 @ SY4573 @ SY4574 @ SY4569 @ SY4570 ) )
            | ( SY4569
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4569 @ SY4568 @ SY4574 @ SY4570 ) ) )
            | ( SY4569 = c_Type_Oty_ONT )
            | ( SY4569 = c_Type_Oty_OInteger )
            | ( SY4569 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1558,plain,
    ! [SV665: $i,SV464: $i,SV254: $i,SV30: $i] :
      ( ( ! [SY4575: $i,SY4576: $i,SY4577: $i] :
            ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SY4575 @ SY4576 @ SY4577 @ t_a ) ) )
            | ( SY4577
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SY4576 @ SY4577 ) ) )
            | ( SY4577 = c_Type_Oty_ONT )
            | ( SY4577 = c_Type_Oty_OInteger )
            | ( SY4577 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1344]) ).

thf(1559,plain,
    ! [SV666: $i,SV465: $i,SV255: $i,SV31: $i] :
      ( ( ! [SY4578: $i,SY4579: $i,SY4580: $i] :
            ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SY4578 @ SY4579 @ SY4580 @ t_a ) ) )
            | ( SY4580
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SY4579 @ SY4580 ) ) )
            | ( SY4580 = c_Type_Oty_ONT )
            | ( SY4580 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
            | ( SY4580 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1345]) ).

thf(1560,plain,
    ! [SV667: $i,SV466: $i,SV256: $i,SV32: $i] :
      ( ( ! [SY4581: $i,SY4582: $i,SY4583: $i] :
            ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SY4581 @ SY4582 @ SY4583 @ t_a ) ) )
            | ( SY4583
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SY4582 @ SY4583 ) ) )
            | ( SY4583 = c_Type_Oty_ONT )
            | ( SY4583 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
            | ( SY4583 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1346]) ).

thf(1561,plain,
    ! [SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY4584: $i,SY4585: $i,SY4586: $i,SY4587: $i,SY4588: $i,SY4589: $i,SY4590: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SY4584 @ SY4585 @ SV33 @ SY4586 )
              = ( c_Type_Oty_Oty__case @ SY4587 @ SV467 @ SY4588 @ SY4589 @ SY4590 @ SV33 @ SY4586 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SY4585 @ SY4590 @ SY4586 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1347]) ).

thf(1562,plain,
    ! [SV669: $i,SV468: $i,SV258: $i,SV34: $i] :
      ( ( ! [SY4591: $i,SY4592: $i,SY4593: $i] :
            ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SY4591 @ SY4592 @ SY4593 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY4592 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SY4592 @ SY4593 ) ) ) )
            | ( SY4593 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
            | ( SY4593 = c_Type_Oty_OBoolean )
            | ( SY4593 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1348]) ).

thf(1563,plain,
    ! [SV670: $i,SV469: $i,SV259: $i,SV35: $i] :
      ( ( ! [SY4594: $i,SY4595: $i,SY4596: $i] :
            ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SY4594 @ SY4595 @ SY4596 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SY4595 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SY4595 @ SY4596 ) ) ) )
            | ( SY4596 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
            | ( SY4596 = c_Type_Oty_OBoolean )
            | ( SY4596 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1349]) ).

thf(1564,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV36: $i] :
      ( ( ! [SY4597: $i,SY4598: $i,SY4599: $i] :
            ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SY4597 @ SY4598 @ SY4599 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SY4598 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SY4598 @ SY4599 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ SY4597 ) )
            | ( SY4599 = c_Type_Oty_OInteger )
            | ( SY4599 = c_Type_Oty_OBoolean )
            | ( SY4599 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1565,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV37: $i] :
      ( ( ! [SY4600: $i,SY4601: $i,SY4602: $i] :
            ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SY4600 @ SY4601 @ SY4602 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SY4601 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SY4601 @ SY4602 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ SY4600 ) )
            | ( SY4602 = c_Type_Oty_OInteger )
            | ( SY4602 = c_Type_Oty_OBoolean )
            | ( SY4602 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1566,plain,
    ! [SV673: $i,SV472: $i,SV262: $i,SV38: $i] :
      ( ( ! [SY4603: $i,SY4604: $i,SY4605: $i] :
            ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SY4603 @ SY4604 @ SY4605 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SY4604 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SY4604 @ SY4605 ) ) ) )
            | ( SY4605 = c_Type_Oty_ONT )
            | ( SY4605 = c_Type_Oty_OInteger )
            | ( SY4605 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1352]) ).

thf(1567,plain,
    ! [SV674: $i,SV473: $i,SV263: $i,SV39: $i] :
      ( ( ! [SY4606: $i,SY4607: $i,SY4608: $i] :
            ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SY4606 @ SY4607 @ SY4608 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SY4607 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SY4607 @ SY4608 ) ) ) )
            | ( SY4608 = c_Type_Oty_ONT )
            | ( SY4608 = c_Type_Oty_OInteger )
            | ( SY4608 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1568,plain,
    ! [SV675: $i,SV474: $i,SV264: $i,SV40: $i] :
      ( ( ! [SY4609: $i,SY4610: $i,SY4611: $i] :
            ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SY4609 @ SY4610 @ SY4611 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SY4610 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SY4610 @ SY4611 ) ) ) )
            | ( SY4611 = c_Type_Oty_ONT )
            | ( SY4611 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
            | ( SY4611 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1569,plain,
    ! [SV676: $i,SV475: $i,SV265: $i,SV41: $i] :
      ( ( ! [SY4612: $i,SY4613: $i,SY4614: $i] :
            ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SY4612 @ SY4613 @ SY4614 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SY4613 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SY4613 @ SY4614 ) ) ) )
            | ( SY4614 = c_Type_Oty_ONT )
            | ( SY4614 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
            | ( SY4614 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1570,plain,
    ! [SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY4615: $i,SY4616: $i,SY4617: $i,SY4618: $i,SY4619: $i,SY4620: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SY4615 @ SY4616 @ SV42 @ SY4617 )
              = ( c_Type_Oty_Oty__case @ SY4618 @ SY4619 @ SV677 @ SY4615 @ SY4620 @ SV42 @ SY4617 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SY4616 @ SY4620 @ SY4617 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1356]) ).

thf(1571,plain,
    ! [SV678: $i,SV477: $i,SV267: $i,SV43: $i] :
      ( ( ! [SY4621: $i,SY4622: $i,SY4623: $i] :
            ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SY4621 @ SY4622 @ SY4623 @ t_a ) ) )
            | ( SY4623
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SY4622 @ SY4623 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SY4621 ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
            | ( SY4623 = c_Type_Oty_OBoolean )
            | ( SY4623 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1572,plain,
    ! [SV679: $i,SV478: $i,SV268: $i,SV44: $i] :
      ( ( ! [SY4624: $i,SY4625: $i,SY4626: $i] :
            ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SY4624 @ SY4625 @ SY4626 @ t_a ) ) )
            | ( SY4626
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SY4625 @ SY4626 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SY4624 ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
            | ( SY4626 = c_Type_Oty_OBoolean )
            | ( SY4626 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1358]) ).

thf(1573,plain,
    ! [SV680: $i,SV479: $i,SV269: $i,SV45: $i] :
      ( ( ! [SY4627: $i,SY4628: $i,SY4629: $i] :
            ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SY4627 @ SY4628 @ SY4629 @ t_a ) ) )
            | ( SY4629
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SY4628 @ SY4629 ) ) )
            | ( SY4629 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
            | ( SY4629 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1359]) ).

thf(1574,plain,
    ! [SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY4630: $i,SY4631: $i,SY4632: $i,SY4633: $i,SY4634: $i,SY4635: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SY4630 @ SY4631 @ SV46 @ SY4632 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SY4633 @ SV681 @ SY4634 @ SY4635 @ SV46 @ SY4632 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SY4631 @ SY4635 @ SY4632 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1360]) ).

thf(1575,plain,
    ! [SV682: $i,SV481: $i,SV271: $i,SV47: $i] :
      ( ( ! [SY4636: $i,SY4637: $i,SY4638: $i] :
            ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SY4636 @ SY4637 @ SY4638 @ t_a ) ) )
            | ( SY4638
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SY4637 @ SY4638 ) ) )
            | ( SY4638 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
            | ( SY4638 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1576,plain,
    ! [SV683: $i,SV482: $i,SV272: $i,SV48: $i] :
      ( ( ! [SY4639: $i,SY4640: $i,SY4641: $i] :
            ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SY4639 @ SY4640 @ SY4641 @ t_a ) ) )
            | ( SY4641
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SY4640 @ SY4641 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SY4639 ) )
            | ( SY4641 = c_Type_Oty_OInteger )
            | ( SY4641 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1362]) ).

thf(1577,plain,
    ! [SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY4642: $i,SY4643: $i,SY4644: $i,SY4645: $i,SY4646: $i,SY4647: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SY4642 @ SY4643 @ SV49 @ SY4644 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SY4645 @ SY4646 @ SY4642 @ SY4647 @ SV49 @ SY4644 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SY4643 @ SY4647 @ SY4644 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1363]) ).

thf(1578,plain,
    ! [SV685: $i,SV484: $i,SV274: $i,SV50: $i] :
      ( ( ! [SY4648: $i,SY4649: $i,SY4650: $i] :
            ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SY4648 @ SY4649 @ SY4650 @ t_a ) ) )
            | ( SY4650
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SY4649 @ SY4650 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SY4648 ) )
            | ( SY4650 = c_Type_Oty_OInteger )
            | ( SY4650 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1364]) ).

thf(1579,plain,
    ! [SV686: $i,SV485: $i,SV275: $i,SV51: $i] :
      ( ( ! [SY4651: $i,SY4652: $i,SY4653: $i] :
            ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SY4651 @ SY4652 @ SY4653 @ t_a ) ) )
            | ( SY4653
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SY4652 @ SY4653 ) ) )
            | ( SY4653 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
            | ( SY4653 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1365]) ).

thf(1580,plain,
    ! [SV687: $i,SV486: $i,SV276: $i,SV52: $i] :
      ( ( ! [SY4654: $i,SY4655: $i,SY4656: $i] :
            ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SY4654 @ SY4655 @ SY4656 @ t_a ) ) )
            | ( SY4656
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SY4655 @ SY4656 ) ) )
            | ( SY4656 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
            | ( SY4656 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1581,plain,
    ! [SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY4657: $i,SY4658: $i,SY4659: $i,SY4660: $i,SY4661: $i,SY4662: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SY4657 @ SY4658 @ SV53 @ SY4659 )
              = ( c_Type_Oty_Oty__case @ SY4660 @ SV487 @ SV688 @ SY4661 @ SY4662 @ SV53 @ SY4659 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SY4658 @ SY4662 @ SY4659 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1582,plain,
    ! [SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY4663: $i,SY4664: $i,SY4665: $i,SY4666: $i,SY4667: $i,SY4668: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SY4663 @ SY4664 @ SV54 @ SY4665 )
              = ( c_Type_Oty_Oty__case @ SY4666 @ SV488 @ SY4667 @ SY4663 @ SY4668 @ SV54 @ SY4665 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SY4664 @ SY4668 @ SY4665 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1368]) ).

thf(1583,plain,
    ! [SV690: $i,SV489: $i,SV279: $i,SV55: $i] :
      ( ( ! [SY4669: $i,SY4670: $i,SY4671: $i] :
            ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SY4669 @ SY4670 @ SY4671 @ t_a ) ) )
            | ( SY4671
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SY4670 @ SY4671 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SY4669 ) )
            | ( SY4671 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
            | ( SY4671 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1584,plain,
    ! [SV691: $i,SV490: $i,SV280: $i,SV56: $i] :
      ( ( ! [SY4672: $i,SY4673: $i,SY4674: $i] :
            ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SY4672 @ SY4673 @ SY4674 @ t_a ) ) )
            | ( SY4674
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SY4673 @ SY4674 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SY4672 ) )
            | ( SY4674 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
            | ( SY4674 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1370]) ).

thf(1585,plain,
    ! [SV692: $i,SV491: $i,SV281: $i,SV57: $i] :
      ( ( ! [SY4675: $i,SY4676: $i,SY4677: $i] :
            ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SY4675 @ SY4676 @ SY4677 @ t_a ) ) )
            | ( SY4677
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SY4676 @ SY4677 ) ) )
            | ( SY4677 = c_Type_Oty_ONT )
            | ( SY4677 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1586,plain,
    ! [SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY4678: $i,SY4679: $i,SY4680: $i,SY4681: $i,SY4682: $i,SY4683: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SY4678 @ SY4679 @ SY4680 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY4681 @ SY4682 @ SY4683 @ SY4679 @ SY4680 ) )
            | ( SY4679
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4679 @ SY4678 @ SY4683 @ SY4680 ) ) )
            | ( SY4679 = c_Type_Oty_ONT )
            | ( SY4679 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1372]) ).

thf(1587,plain,
    ! [SV694: $i,SV493: $i,SV283: $i,SV59: $i] :
      ( ( ! [SY4684: $i,SY4685: $i,SY4686: $i] :
            ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SY4684 @ SY4685 @ SY4686 @ t_a ) ) )
            | ( SY4686
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SY4685 @ SY4686 ) ) )
            | ( SY4686 = c_Type_Oty_ONT )
            | ( SY4686 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1373]) ).

thf(1588,plain,
    ! [SV695: $i,SV494: $i,SV284: $i,SV60: $i] :
      ( ( ! [SY4687: $i,SY4688: $i,SY4689: $i] :
            ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SY4687 @ SY4688 @ SY4689 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SY4688 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SY4688 @ SY4689 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SY4687 ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
            | ( SY4689 = c_Type_Oty_OBoolean )
            | ( SY4689 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1374]) ).

thf(1589,plain,
    ! [SV696: $i,SV495: $i,SV285: $i,SV61: $i] :
      ( ( ! [SY4690: $i,SY4691: $i,SY4692: $i] :
            ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SY4690 @ SY4691 @ SY4692 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SY4691 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SY4691 @ SY4692 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SY4690 ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
            | ( SY4692 = c_Type_Oty_OBoolean )
            | ( SY4692 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1375]) ).

thf(1590,plain,
    ! [SV697: $i,SV496: $i,SV286: $i,SV62: $i] :
      ( ( ! [SY4693: $i,SY4694: $i,SY4695: $i] :
            ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SY4693 @ SY4694 @ SY4695 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SY4694 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SY4694 @ SY4695 ) ) ) )
            | ( SY4695 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
            | ( SY4695 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1376]) ).

thf(1591,plain,
    ! [SV698: $i,SV497: $i,SV287: $i,SV63: $i] :
      ( ( ! [SY4696: $i,SY4697: $i,SY4698: $i] :
            ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SY4696 @ SY4697 @ SY4698 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SY4697 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SY4697 @ SY4698 ) ) ) )
            | ( SY4698 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
            | ( SY4698 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1377]) ).

thf(1592,plain,
    ! [SV699: $i,SV498: $i,SV288: $i,SV64: $i] :
      ( ( ! [SY4699: $i,SY4700: $i,SY4701: $i] :
            ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SY4699 @ SY4700 @ SY4701 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SY4700 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SY4700 @ SY4701 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SY4699 ) )
            | ( SY4701 = c_Type_Oty_OInteger )
            | ( SY4701 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1378]) ).

thf(1593,plain,
    ! [SV700: $i,SV499: $i,SV289: $i,SV65: $i] :
      ( ( ! [SY4702: $i,SY4703: $i,SY4704: $i] :
            ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SY4702 @ SY4703 @ SY4704 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SY4703 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SY4703 @ SY4704 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SY4702 ) )
            | ( SY4704 = c_Type_Oty_OInteger )
            | ( SY4704 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1594,plain,
    ! [SV701: $i,SV500: $i,SV290: $i,SV66: $i] :
      ( ( ! [SY4705: $i,SY4706: $i,SY4707: $i] :
            ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SY4705 @ SY4706 @ SY4707 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SY4706 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SY4706 @ SY4707 ) ) ) )
            | ( SY4707 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
            | ( SY4707 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1380]) ).

thf(1595,plain,
    ! [SV702: $i,SV501: $i,SV291: $i,SV67: $i] :
      ( ( ! [SY4708: $i,SY4709: $i,SY4710: $i] :
            ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SY4708 @ SY4709 @ SY4710 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SY4709 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SY4709 @ SY4710 ) ) ) )
            | ( SY4710 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
            | ( SY4710 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1381]) ).

thf(1596,plain,
    ! [SV703: $i,SV502: $i,SV292: $i,SV68: $i] :
      ( ( ! [SY4711: $i,SY4712: $i,SY4713: $i] :
            ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SY4711 @ SY4712 @ SY4713 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SY4712 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SY4712 @ SY4713 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SY4711 ) )
            | ( SY4713 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
            | ( SY4713 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1597,plain,
    ! [SV704: $i,SV503: $i,SV293: $i,SV69: $i] :
      ( ( ! [SY4714: $i,SY4715: $i,SY4716: $i] :
            ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SY4714 @ SY4715 @ SY4716 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SY4715 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SY4715 @ SY4716 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SY4714 ) )
            | ( SY4716 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
            | ( SY4716 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1598,plain,
    ! [SV705: $i,SV504: $i,SV294: $i,SV70: $i] :
      ( ( ! [SY4717: $i,SY4718: $i,SY4719: $i] :
            ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SY4717 @ SY4718 @ SY4719 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SY4718 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SY4718 @ SY4719 ) ) ) )
            | ( SY4719 = c_Type_Oty_ONT )
            | ( SY4719 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1599,plain,
    ! [SV706: $i,SV505: $i,SV295: $i,SV71: $i] :
      ( ( ! [SY4720: $i,SY4721: $i,SY4722: $i] :
            ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SY4720 @ SY4721 @ SY4722 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY4721 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SY4721 @ SY4722 ) ) ) )
            | ( SY4722 = c_Type_Oty_ONT )
            | ( SY4722 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1385]) ).

thf(1600,plain,
    ! [SV707: $i,SV506: $i,SV296: $i,SV72: $i] :
      ( ( ! [SY4723: $i,SY4724: $i,SY4725: $i] :
            ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SY4723 @ SY4724 @ SY4725 @ t_a ) ) )
            | ( SY4725
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SY4724 @ SY4725 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SY4723 ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
            | ( SY4725 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1601,plain,
    ! [SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ! [SY4726: $i,SY4727: $i,SY4728: $i,SY4729: $i,SY4730: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SY4726 @ SY4727 @ SV73 @ SY4728 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SY4729 @ SV708 @ SY4726 @ SY4730 @ SV73 @ SY4728 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SY4727 @ SY4730 @ SY4728 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1387]) ).

thf(1602,plain,
    ! [SV709: $i,SV508: $i,SV298: $i,SV74: $i] :
      ( ( ! [SY4731: $i,SY4732: $i,SY4733: $i] :
            ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SY4731 @ SY4732 @ SY4733 @ t_a ) ) )
            | ( SY4733
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SY4732 @ SY4733 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SY4731 ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
            | ( SY4733 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1388]) ).

thf(1603,plain,
    ! [SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ! [SY4734: $i,SY4735: $i,SY4736: $i,SY4737: $i,SY4738: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SY4734 @ SY4735 @ SV75 @ SY4736 )
              = ( c_Type_Oty_Oty__case @ SY4737 @ SV509 @ SV710 @ SY4734 @ SY4738 @ SV75 @ SY4736 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SY4735 @ SY4738 @ SY4736 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1604,plain,
    ! [SV711: $i,SV510: $i,SV300: $i,SV76: $i] :
      ( ( ! [SY4739: $i,SY4740: $i,SY4741: $i] :
            ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SY4739 @ SY4740 @ SY4741 @ t_a ) ) )
            | ( SY4741
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SY4740 @ SY4741 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SY4739 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
            | ( SY4741 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1390]) ).

thf(1605,plain,
    ! [SV712: $i,SV511: $i,SV301: $i,SV77: $i] :
      ( ( ! [SY4742: $i,SY4743: $i,SY4744: $i] :
            ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SY4742 @ SY4743 @ SY4744 @ t_a ) ) )
            | ( SY4744
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SY4743 @ SY4744 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SY4742 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
            | ( SY4744 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1391]) ).

thf(1606,plain,
    ! [SV713: $i,SV512: $i,SV302: $i,SV78: $i] :
      ( ( ! [SY4745: $i,SY4746: $i,SY4747: $i] :
            ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SY4745 @ SY4746 @ SY4747 @ t_a ) ) )
            | ( SY4747
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SY4746 @ SY4747 ) ) )
            | ( SY4747 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1392]) ).

thf(1607,plain,
    ! [SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ! [SY4748: $i,SY4749: $i,SY4750: $i,SY4751: $i,SY4752: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SY4748 @ SY4749 @ SY4750 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SY4751 @ SY4752 @ SY4749 @ SY4750 ) )
            | ( SY4749
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4749 @ SY4748 @ SY4752 @ SY4750 ) ) )
            | ( SY4749 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1608,plain,
    ! [SV715: $i,SV514: $i,SV304: $i,SV80: $i] :
      ( ( ! [SY4753: $i,SY4754: $i,SY4755: $i] :
            ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SY4753 @ SY4754 @ SY4755 @ t_a ) ) )
            | ( SY4755
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SY4754 @ SY4755 ) ) )
            | ( SY4755 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1394]) ).

thf(1609,plain,
    ! [SV716: $i,SV515: $i,SV305: $i,SV81: $i] :
      ( ( ! [SY4756: $i,SY4757: $i,SY4758: $i] :
            ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SY4756 @ SY4757 @ SY4758 @ t_a ) ) )
            | ( SY4758
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SY4757 @ SY4758 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SY4756 ) )
            | ( SY4758 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1395]) ).

thf(1610,plain,
    ! [SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ! [SY4759: $i,SY4760: $i,SY4761: $i,SY4762: $i,SY4763: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SY4759 @ SY4760 @ SV82 @ SY4761 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SY4762 @ SY4759 @ SY4763 @ SV82 @ SY4761 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SY4760 @ SY4763 @ SY4761 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1396]) ).

thf(1611,plain,
    ! [SV718: $i,SV517: $i,SV307: $i,SV83: $i] :
      ( ( ! [SY4764: $i,SY4765: $i,SY4766: $i] :
            ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SY4764 @ SY4765 @ SY4766 @ t_a ) ) )
            | ( SY4766
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SY4765 @ SY4766 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SY4764 ) )
            | ( SY4766 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1397]) ).

thf(1612,plain,
    ! [SV719: $i,SV518: $i,SV308: $i,SV84: $i] :
      ( ( ! [SY4767: $i,SY4768: $i,SY4769: $i] :
            ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SY4767 @ SY4768 @ SY4769 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SY4768 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SY4768 @ SY4769 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SY4767 ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
            | ( SY4769 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1398]) ).

thf(1613,plain,
    ! [SV720: $i,SV519: $i,SV309: $i,SV85: $i] :
      ( ( ! [SY4770: $i,SY4771: $i,SY4772: $i] :
            ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SY4770 @ SY4771 @ SY4772 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SY4771 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SY4771 @ SY4772 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SY4770 ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
            | ( SY4772 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1614,plain,
    ! [SV721: $i,SV520: $i,SV310: $i,SV86: $i] :
      ( ( ! [SY4773: $i,SY4774: $i,SY4775: $i] :
            ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SY4773 @ SY4774 @ SY4775 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SY4774 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SY4774 @ SY4775 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SY4773 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
            | ( SY4775 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1400]) ).

thf(1615,plain,
    ! [SV722: $i,SV521: $i,SV311: $i,SV87: $i] :
      ( ( ! [SY4776: $i,SY4777: $i,SY4778: $i] :
            ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SY4776 @ SY4777 @ SY4778 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY4777 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SY4777 @ SY4778 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SY4776 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
            | ( SY4778 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1616,plain,
    ! [SV723: $i,SV522: $i,SV312: $i,SV88: $i] :
      ( ( ! [SY4779: $i,SY4780: $i,SY4781: $i] :
            ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SY4779 @ SY4780 @ SY4781 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SY4780 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SY4780 @ SY4781 ) ) ) )
            | ( SY4781 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1617,plain,
    ! [SV724: $i,SV523: $i,SV313: $i,SV89: $i] :
      ( ( ! [SY4782: $i,SY4783: $i,SY4784: $i] :
            ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SY4782 @ SY4783 @ SY4784 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SY4783 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SY4783 @ SY4784 ) ) ) )
            | ( SY4784 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1403]) ).

thf(1618,plain,
    ! [SV725: $i,SV524: $i,SV314: $i,SV90: $i] :
      ( ( ! [SY4785: $i,SY4786: $i,SY4787: $i] :
            ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SY4785 @ SY4786 @ SY4787 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SY4786 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SY4786 @ SY4787 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SY4785 ) )
            | ( SY4787 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1404]) ).

thf(1619,plain,
    ! [SV726: $i,SV525: $i,SV315: $i,SV91: $i] :
      ( ( ! [SY4788: $i,SY4789: $i,SY4790: $i] :
            ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SY4788 @ SY4789 @ SY4790 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SY4789 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SY4789 @ SY4790 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SY4788 ) )
            | ( SY4790 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1405]) ).

thf(1620,plain,
    ! [SV727: $i,SV527: $i,SV317: $i,SV93: $i] :
      ( ( ! [SY4791: $i,SY4792: $i,SY4793: $i] :
            ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SY4791 @ SY4792 @ SY4793 @ t_a ) ) )
            | ( SY4793
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SY4792 @ SY4793 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SY4791 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1407]) ).

thf(1621,plain,
    ! [SV728: $i,SV528: $i,SV318: $i,SV94: $i] :
      ( ( ! [SY4794: $i,SY4795: $i,SY4796: $i,SY4797: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SY4794 @ SY4795 @ SY4796 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SY4797 @ SY4795 @ SY4796 ) )
            | ( SY4795
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4795 @ SY4794 @ SY4797 @ SY4796 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1408]) ).

thf(1622,plain,
    ! [SV729: $i,SV529: $i,SV319: $i,SV95: $i] :
      ( ( ! [SY4798: $i,SY4799: $i,SY4800: $i] :
            ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SY4798 @ SY4799 @ SY4800 @ t_a ) ) )
            | ( SY4800
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SY4799 @ SY4800 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SY4798 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1409]) ).

thf(1623,plain,
    ! [SV730: $i,SV530: $i,SV320: $i,SV96: $i] :
      ( ( ! [SY4801: $i,SY4802: $i,SY4803: $i] :
            ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SY4801 @ SY4802 @ SY4803 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SY4802 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SY4802 @ SY4803 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SY4801 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1410]) ).

thf(1624,plain,
    ! [SV731: $i,SV531: $i,SV321: $i,SV97: $i] :
      ( ( ! [SY4804: $i,SY4805: $i,SY4806: $i] :
            ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SY4804 @ SY4805 @ SY4806 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SY4805 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SY4805 @ SY4806 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SY4804 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1411]) ).

thf(1625,plain,
    ! [SV732: $i,SV533: $i,SV323: $i,SV99: $i] :
      ( ( ! [SY4807: $i] :
            ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SV732 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SY4807 @ SV533 @ SV732 )
            | ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SY4807 @ SV732 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1413]) ).

thf(1626,plain,
    ! [SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY4808: $i,SY4809: $i,SY4810: $i,SY4811: $i,SY4812: $i,SY4813: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SY4808 @ SY4809 @ SY4810 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY4811 @ SY4812 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SY4810 @ SY4811 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY4813 @ SY4808 @ SY4812 @ SY4809 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SY4813 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1414]) ).

thf(1627,plain,
    ! [SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY4814: $i,SY4815: $i,SY4816: $i,SY4817: $i,SY4818: $i,SY4819: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SY4814 @ SY4815 @ SY4816 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY4817 @ SY4818 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SY4816 @ SY4817 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY4819 @ SY4814 @ SY4818 @ SY4815 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SY4819 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1415]) ).

thf(1628,plain,
    ! [SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY4820: $i,SY4821: $i,SY4822: $i,SY4823: $i,SY4824: $i,SY4825: $i,SY4826: $i,SY4827: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SY4820 @ SY4821 @ SY4822 )
              = ( c_Type_Oty_Oty__case @ SY4823 @ SY4824 @ SY4825 @ SY4826 @ SY4827 @ SY4821 @ SY4822 ) )
            | ( SY4821
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY4821 @ SY4820 @ SY4827 @ SY4822 ) ) )
            | ( SY4821 = c_Type_Oty_ONT )
            | ( SY4821 = c_Type_Oty_OInteger )
            | ( SY4821 = c_Type_Oty_OBoolean )
            | ( SY4821 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1416]) ).

thf(1629,plain,
    ! [SV736: $i,SV537: $i,SV327: $i,SV103: $i] :
      ( ( ! [SY4828: $i,SY4829: $i,SY4830: $i] :
            ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SY4828 @ SY4829 @ SY4830 @ t_a ) ) )
            | ( SY4830
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SY4829 @ SY4830 ) ) )
            | ( SY4830 = c_Type_Oty_ONT )
            | ( SY4830 = c_Type_Oty_OInteger )
            | ( SY4830 = c_Type_Oty_OBoolean )
            | ( SY4830 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1630,plain,
    ! [SV737: $i,SV538: $i,SV328: $i,SV104: $i] :
      ( ( ! [SY4831: $i,SY4832: $i,SY4833: $i] :
            ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SY4831 @ SY4832 @ SY4833 @ t_a ) ) )
            | ( SY4833
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SY4832 @ SY4833 ) ) )
            | ( SY4833 = c_Type_Oty_ONT )
            | ( SY4833 = c_Type_Oty_OInteger )
            | ( SY4833 = c_Type_Oty_OBoolean )
            | ( SY4833 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1631,plain,
    ! [SV329: $i,SV105: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV105 @ v_ea____ @ SV329 ) )
        = $true )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV105 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ SV105 @ v_P @ SV329 @ v_e_Ha____ @ v_h_Ha____ ) @ SV329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1419]) ).

thf(1632,plain,
    ! [SV330: $i,SV106: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV106 @ v_ea____ @ SV330 ) )
        = $true )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV106 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV106 @ v_P @ SV330 @ v_e_Ha____ @ v_h_Ha____ ) @ SV330 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1420]) ).

thf(1633,plain,
    ! [SV331: $i,SV107: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV107 @ v_ea____ @ SV331 ) )
        = $true )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV107 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ SV107 @ v_P @ SV331 @ v_e_Ha____ @ v_h_Ha____ ) @ SV331 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1421]) ).

thf(1634,plain,
    ! [SV108: $i] :
      ( ( ( SV108 = c_Type_Oty_OVoid )
        = $true )
      | ( ( c_Type_Ois__refT @ SV108 )
        = $true )
      | ( ( SV108 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV108 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1422]) ).

thf(1635,plain,
    ! [SV738: $i,SV539: $i,SV332: $i,SV109: $i] :
      ( ( ! [SY4834: $i,SY4835: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SV539 @ SV738 @ SY4834 @ SY4835 @ c_Type_Oty_OVoid @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV109 @ SV332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1636,plain,
    ! [SV739: $i,SV540: $i,SV333: $i,SV110: $i] :
      ( ( ! [SY4836: $i,SY4837: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SV540 @ SV739 @ SY4836 @ SY4837 @ c_Type_Oty_OBoolean @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV110 @ SV540 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1424]) ).

thf(1637,plain,
    ! [SV740: $i,SV541: $i,SV334: $i,SV111: $i] :
      ( ( ! [SY4838: $i,SY4839: $i] :
            ( ( c_Type_Oty_Oty__case @ SV111 @ SV334 @ SV541 @ SV740 @ SY4838 @ c_Type_Oty_OBoolean @ SY4839 )
            = SV334 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1425]) ).

thf(1638,plain,
    ! [SV741: $i,SV542: $i,SV335: $i,SV112: $i] :
      ( ( ! [SY4840: $i,SY4841: $i,SY4842: $i] :
            ( ( SV112 = c_Type_Oty_OVoid )
            | ~ ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SV741 @ SY4840 @ SY4841 @ SY4842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1426]) ).

thf(1639,plain,
    ! [SV543: $i,SV336: $i,SV114: $i] :
      ( ( ( c_Objects_Ohext @ SV114 @ SV336 )
        = $true )
      | ( ( ~ ( c_Objects_Ohext @ SV543 @ SV336 )
          | ~ ( c_Objects_Ohext @ SV114 @ SV543 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1427]) ).

thf(1640,plain,
    ! [SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ! [SY4843: $i,SY4844: $i,SY4845: $i,SY4846: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SY4843 @ SY4844 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4845 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY4846 @ SY4843 @ SY4845 @ SY4844 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SY4846 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1641,plain,
    ! [SV743: $i,SV545: $i,SV338: $i,SV116: $i] :
      ( ( ! [SY4847: $i,SY4848: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV116 @ SV338 @ SV545 @ SV743 @ SY4847 @ c_Type_Oty_OInteger @ SY4848 )
            = SV545 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1429]) ).

thf(1642,plain,
    ! [SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ! [SY4849: $i,SY4850: $i,SY4851: $i,SY4852: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
            | ( SY4849 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SY4850 @ SY4851 @ SY4852 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4849 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1430]) ).

thf(1643,plain,
    ! [SV745: $i,SV547: $i,SV341: $i,SV119: $i] :
      ( ( ! [SY4853: $i,SY4854: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SY4853 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
            | ~ ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY4854 )
            | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SY4853 @ SY4854 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1431]) ).

thf(1644,plain,
    ! [SV746: $i,SV548: $i,SV342: $i,SV120: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV120 @ SV342 @ SV548 @ ( c_Expr_Oexp_Onew @ SV746 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV746 ) )
        | ~ ( c_Decl_Ois__class @ SV120 @ SV746 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1645,plain,
    ! [SV747: $i,SV549: $i,SV343: $i,SV121: $i] :
      ( ( ! [SY4855: $i,SY4856: $i] :
            ( ( c_Type_Oty_Oty__case @ SV121 @ SV343 @ SV549 @ SV747 @ SY4855 @ c_Type_Oty_ONT @ SY4856 )
            = SV747 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1433]) ).

thf(1646,plain,
    ! [SV748: $i,SV550: $i,SV344: $i,SV122: $i] :
      ( ( ! [SY4857: $i,SY4858: $i] :
            ( ( c_Type_Oty_Oty__case @ SV122 @ SV344 @ SV550 @ SV748 @ SY4857 @ c_Type_Oty_OInteger @ SY4858 )
            = SV550 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1647,plain,
    ! [SV749: $i,SV551: $i,SV345: $i,SV123: $i] :
      ( ( ! [SY4859: $i,SY4860: $i] :
            ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SY4859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
            | ~ ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY4860 )
            | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SY4859 @ SY4860 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1435]) ).

thf(1648,plain,
    ! [SV750: $i,SV553: $i,SV347: $i,SV125: $i] :
      ( ( ! [SY4861: $i] :
            ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SV750 )
            | ~ ( c_Map_Omap__le @ SY4861 @ SV347 @ SV553 @ SV750 )
            | ~ ( c_Map_Omap__le @ SV125 @ SY4861 @ SV553 @ SV750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1437]) ).

thf(1649,plain,
    ! [SV751: $i,SV554: $i,SV348: $i,SV126: $i] :
      ( ( ! [SY4862: $i] :
            ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SV751 )
            | ~ ( c_Map_Omap__le @ SY4862 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellType_OWT @ SV126 @ SY4862 @ SV554 @ SV751 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1438]) ).

thf(1650,plain,
    ! [SV555: $i,SV349: $i,SV127: $i] :
      ( ( ( c_WellType_OWT @ SV127 @ SV349 @ ( c_Expr_Oexp_Onew @ SV555 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV555 ) )
        = $true )
      | ( ( ~ ( c_Decl_Ois__class @ SV127 @ SV555 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1439]) ).

thf(1651,plain,
    ! [SV752: $i,SV556: $i,SV350: $i,SV128: $i] :
      ( ( ! [SY4863: $i] :
            ( ( SV128
              = ( c_Type_Oty_OClass @ SV350 ) )
            | ~ ( c_WellType_OWT @ SV556 @ SV752 @ ( c_Expr_Oexp_OCast @ SV350 @ SY4863 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1652,plain,
    ! [SV753: $i,SV557: $i,SV351: $i,SV129: $i] :
      ( ( ! [SY4864: $i] :
            ( ( c_Decl_Ois__class @ SV129 @ SV351 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV129 @ SV557 @ SV753 @ ( c_Expr_Oexp_Onew @ SV351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4864 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1441]) ).

thf(1653,plain,
    ! [SV754: $i,SV558: $i,SV352: $i,SV130: $i] :
      ( ( ! [SY4865: $i] :
            ( ( c_Decl_Ois__class @ SV130 @ SV352 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV130 @ SV558 @ ( c_Expr_Oexp_OCast @ SV352 @ SV754 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4865 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1442]) ).

thf(1654,plain,
    ! [SV755: $i,SV559: $i,SV353: $i,SV131: $i] :
      ( ( ! [SY4866: $i,SY4867: $i,SY4868: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SV755 @ SY4866 @ SY4867 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4868 )
            | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SV755 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1443]) ).

thf(1655,plain,
    ! [SV756: $i,SV560: $i,SV354: $i,SV132: $i] :
      ( ( ! [SY4869: $i,SY4870: $i,SY4871: $i] :
            ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SV756 @ SY4869 @ SY4870 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4871 )
            | ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SV756 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1444]) ).

thf(1656,plain,
    ! [SV757: $i,SV561: $i,SV355: $i,SV133: $i] :
      ( ( ! [SY4872: $i,SY4873: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SV561 @ SV757 @ SY4872 @ SY4873 @ c_Type_Oty_ONT @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV133 @ SY4872 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1445]) ).

thf(1657,plain,
    ! [SV758: $i,SV562: $i,SV356: $i,SV134: $i] :
      ( ( ! [SY4874: $i,SY4875: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV134 @ SV356 @ SV562 @ SV758 @ SY4874 @ c_Type_Oty_ONT @ SY4875 )
            = SV758 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1446]) ).

thf(1658,plain,
    ! [SV759: $i,SV563: $i,SV357: $i,SV135: $i] :
      ( ( ( SV135 = SV357 )
        | ~ ( c_Map_Omap__le @ SV357 @ SV135 @ SV563 @ SV759 )
        | ~ ( c_Map_Omap__le @ SV135 @ SV357 @ SV563 @ SV759 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1447]) ).

thf(1659,plain,
    ! [SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ! [SY4876: $i,SY4877: $i,SY4878: $i,SY4879: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SY4876 @ SY4877 @ SY4878 @ SY4879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1448]) ).

thf(1660,plain,
    ! [SV761: $i,SV565: $i,SV359: $i,SV137: $i] :
      ( ( ! [SY4880: $i,SY4881: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SV565 @ SV761 @ SY4880 @ SY4881 @ c_Type_Oty_OInteger @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV137 @ SV761 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1449]) ).

thf(1661,plain,
    ! [SV762: $i,SV566: $i,SV360: $i,SV138: $i] :
      ( ( ( SV138
          = ( c_Type_Oty_OClass @ SV360 ) )
        | ~ ( c_WellType_OWT @ SV566 @ SV762 @ ( c_Expr_Oexp_Onew @ SV360 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV138 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1450]) ).

thf(1662,plain,
    ! [SV763: $i,SV567: $i,SV361: $i,SV139: $i] :
      ( ( ( c_Decl_Ois__class @ SV139 @ SV361 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellType_OWT @ SV139 @ SV567 @ ( c_Expr_Oexp_Onew @ SV361 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV763 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1451]) ).

thf(1663,plain,
    ! [SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ! [SY4882: $i,SY4883: $i,SY4884: $i,SY4885: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SY4882 @ SY4883 @ SY4884 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SY4884 @ SY4885 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1452]) ).

thf(1664,plain,
    ! [SV765: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ! [SY4886: $i,SY4887: $i,SY4888: $i] :
            ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SY4886 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4887 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SY4886 @ SY4887 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SY4888 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1453]) ).

thf(1665,plain,
    ! [SV766: $i,SV570: $i,SV364: $i,SV142: $i] :
      ( ( ! [SY4889: $i,SY4890: $i] :
            ( ( c_Type_Oty_Oty__case @ SV142 @ SV364 @ SV570 @ SV766 @ SY4889 @ c_Type_Oty_OVoid @ SY4890 )
            = SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1454]) ).

thf(1666,plain,
    ! [SV767: $i,SV571: $i,SV365: $i,SV143: $i] :
      ( ( ! [SY4891: $i,SY4892: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV143 @ SV365 @ SV571 @ SV767 @ SY4891 @ c_Type_Oty_OBoolean @ SY4892 )
            = SV365 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1455]) ).

thf(1667,plain,
    ! [SV768: $i,SV572: $i,SV366: $i,SV144: $i] :
      ( ( ! [SY4893: $i,SY4894: $i] :
            ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4893 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SY4893 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SY4894 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1456]) ).

thf(1668,plain,
    ! [SV769: $i,SV573: $i,SV367: $i,SV145: $i] :
      ( ( ! [SY4895: $i,SY4896: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV145 @ SV367 @ SV573 @ SV769 @ SY4895 @ c_Type_Oty_OVoid @ SY4896 )
            = SV145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1457]) ).

thf(1669,plain,
    ! [SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ! [SY4897: $i,SY4898: $i,SY4899: $i,SY4900: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SY4897 @ SY4898 @ SY4899 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SY4899 @ SY4900 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1458]) ).

thf(1670,plain,
    ! [SV771: $i,SV575: $i,SV369: $i,SV147: $i] :
      ( ( ! [SY4901: $i,SY4902: $i] :
            ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV147 @ SV575 @ SV771 @ ( c_Expr_Oexp_OCast @ SV369 @ SY4901 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4902 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1459]) ).

thf(1671,plain,
    ! [SV772: $i,SV576: $i,SV370: $i,SV148: $i] :
      ( ( ! [SY4903: $i,SY4904: $i] :
            ( ( SV148
              = ( c_Type_Oty_OClass @ SV370 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV576 @ SV772 @ SY4903 @ ( c_Expr_Oexp_OCast @ SV370 @ SY4904 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1460]) ).

thf(1672,plain,
    ! [SV773: $i,SV577: $i,SV371: $i,SV149: $i] :
      ( ( ! [SY4905: $i,SY4906: $i,SY4907: $i] :
            ( ( c_Type_Oty_Oty__case @ SV149 @ SV371 @ SV577 @ SV773 @ SY4905 @ ( c_Type_Oty_OClass @ SY4906 ) @ SY4907 )
            = ( hAPP @ SY4905 @ SY4906 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1461]) ).

thf(1673,plain,
    ! [SV774: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ! [SY4908: $i,SY4909: $i,SY4910: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SY4908 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4909 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SY4908 @ SY4909 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SY4910 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1462]) ).

thf(1674,plain,
    ! [SV373: $i,SV151: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV151 @ v_ea____ @ SV373 ) )
        = $true )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV151 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV151 @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ SV151 @ v_P @ SV373 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1463]) ).

thf(1675,plain,
    ! [SV775: $i,SV579: $i,SV374: $i,SV152: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV152 @ SV374 @ SV579 @ ( c_Expr_Oexp_Onew @ SV775 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV775 ) )
        | ~ ( c_Decl_Ois__class @ SV152 @ SV775 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1464]) ).

thf(1676,plain,
    ! [SV776: $i,SV580: $i,SV375: $i,SV153: $i] :
      ( ( ! [SY4911: $i] :
            ( ( SV153
              = ( c_Type_Oty_OClass @ SV375 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV580 @ SV776 @ SY4911 @ ( c_Expr_Oexp_Onew @ SV375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1465]) ).

thf(1677,plain,
    ! [SV777: $i,SV581: $i,SV376: $i,SV154: $i] :
      ( ( ! [SY4912: $i,SY4913: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SY4912 )
            | ~ ( c_Map_Omap__le @ SY4913 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SY4913 @ SV777 @ SY4912 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1466]) ).

thf(1678,plain,
    ! [SV778: $i,SV582: $i,SV377: $i,SV155: $i] :
      ( ( ! [SY4914: $i,SY4915: $i,SY4916: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV155 @ SV377 @ SV582 @ SV778 @ SY4914 @ ( c_Type_Oty_OClass @ SY4915 ) @ SY4916 )
            = ( hAPP @ SY4914 @ SY4915 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1467]) ).

thf(1679,plain,
    ! [SV378: $i,SV156: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV156 @ v_ea____ @ SV378 ) )
        = $true )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV156 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV156 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ SV156 @ v_P @ SV378 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1468]) ).

thf(1680,plain,
    ! [SV779: $i,SV583: $i,SV379: $i,SV157: $i] :
      ( ( ! [SY4917: $i] :
            ( ( c_Progress_OWTrt_H @ SV157 @ SV379 @ SV583 @ SV779 @ SY4917 )
            | ~ ( c_WellTypeRT_OWTrt @ SV157 @ SV379 @ SV583 @ SV779 @ SY4917 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1469]) ).

thf(1681,plain,
    ! [SV780: $i,SV584: $i,SV380: $i,SV158: $i] :
      ( ( ! [SY4918: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV158 @ SV380 @ SV584 @ SV780 @ SY4918 )
            | ~ ( c_Progress_OWTrt_H @ SV158 @ SV380 @ SV584 @ SV780 @ SY4918 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1470]) ).

thf(1682,plain,
    ! [SV781: $i,SV585: $i,SV381: $i,SV159: $i] :
      ( ( ! [SY4919: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV159 @ SV381 @ SV585 @ SV781 @ SY4919 )
            | ~ ( c_WellType_OWT @ SV159 @ SV585 @ SV781 @ SY4919 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1471]) ).

thf(1683,plain,
    ! [SV782: $i,SV586: $i,SV382: $i,SV160: $i] :
      ( ( ! [SY4920: $i,SY4921: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SY4920 )
            | ~ ( c_Objects_Ohext @ SY4921 @ SV382 )
            | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SY4921 @ SV586 @ SV782 @ SY4920 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1472]) ).

thf(1684,plain,
    ! [SV783: $i,SV587: $i,SV383: $i,SV161: $i] :
      ( ( ! [SY4922: $i,SY4923: $i,SY4924: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SV783 @ SY4922 @ SY4923 @ ( c_Type_Oty_OClass @ SY4924 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SY4923 @ SY4924 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1473]) ).

thf(1685,plain,
    ! [SV784: $i,SV588: $i,SV384: $i,SV162: $i] :
      ( ( ! [SY4925: $i,SY4926: $i,SY4927: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SV784 @ SY4925 @ SY4926 @ ( c_Type_Oty_OClass @ SY4927 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SY4926 @ SY4927 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1474]) ).

thf(1686,plain,
    ! [SV385: $i,SV163: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV163 @ v_ea____ @ SV385 ) )
        = $true )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV163 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV163 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV163 @ v_P @ SV385 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1475]) ).

thf(1687,plain,
    ! [SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ! [SY4928: $i,SY4929: $i,SY4930: $i,SY4931: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SY4928 @ SY4929 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4930 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY4931 @ SY4928 @ SY4930 @ SY4929 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SY4931 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1476]) ).

thf(1688,plain,
    ! [SV590: $i,SV388: $i,SV167: $i] :
      ( ( ( SV167 = SV388 )
        = $true )
      | ( ( ~ ( c_fequal @ SV167 @ SV388 @ SV590 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1477]) ).

thf(1689,plain,
    ! [SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ! [SY4932: $i,SY4933: $i,SY4934: $i,SY4935: $i,SY4936: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
             != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SY4932 @ SY4933 @ SY4934 @ SY4935 @ SV168 @ SV389 @ SV786 )
              = ( c_Type_Oty_Oty__case @ SY4932 @ SY4933 @ SY4934 @ SY4936 @ SV591 @ SV389 @ SV786 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1478]) ).

thf(1690,plain,
    ! [SV787: $i,SV592: $i,SV390: $i,SV170: $i] :
      ( ( ! [SY4937: $i,SY4938: $i,SY4939: $i,SY4940: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SV787 @ SY4937 )
           != ( c_Expr_Oexp_OFAcc @ SY4938 @ SY4939 @ SY4940 @ SY4937 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1479]) ).

thf(1691,plain,
    ! [SV788: $i,SV593: $i,SV391: $i,SV171: $i] :
      ( ( ! [SY4941: $i] :
            ( ( c_Expr_Oexp_Onew @ SV171 @ SV391 )
           != ( c_Expr_Oexp_OFAcc @ SV593 @ SV788 @ SY4941 @ SV391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1480]) ).

thf(1692,plain,
    ! [SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY4942: $i,SY4943: $i,SY4944: $i,SY4945: $i,SY4946: $i,SY4947: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY4942 @ SY4943 @ SY4944 @ SY4945 @ SV172 @ SV392 @ SV789 )
              = ( c_Type_Oty_Oty__case @ SY4942 @ SY4943 @ SY4946 @ SY4947 @ SV594 @ SV392 @ SV789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1481]) ).

thf(1693,plain,
    ! [SV790: $i,SV595: $i,SV393: $i,SV173: $i] :
      ( ( ! [SY4948: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV393 @ SV595 )
             != ( c_Expr_Oexp_OSeq @ SV790 @ SY4948 @ SV595 ) )
            | ( SV393 = SY4948 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1482]) ).

thf(1694,plain,
    ! [SV791: $i,SV596: $i,SV394: $i,SV174: $i] :
      ( ( ! [SY4949: $i,SY4950: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV174 @ SV394 @ SV596 )
           != ( c_Expr_Oexp_OFAcc @ SV791 @ SY4949 @ SY4950 @ SV596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1695,plain,
    ! [SV792: $i,SV597: $i,SV395: $i,SV175: $i] :
      ( ( ! [SY4951: $i,SY4952: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV175 @ SV395 @ SV597 @ SV792 @ SY4951 )
           != ( c_Expr_Oexp_Onew @ SY4952 @ SY4951 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1484]) ).

thf(1696,plain,
    ! [SV793: $i,SV598: $i,SV396: $i,SV176: $i] :
      ( ( ! [SY4953: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV176 @ SV396 @ SV598 )
           != ( c_Expr_Oexp_OCast @ SV793 @ SY4953 @ SV598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1697,plain,
    ! [SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ! [SY4954: $i,SY4955: $i,SY4956: $i,SY4957: $i,SY4958: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
             != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4954 @ SY4955 @ SY4956 @ SY4957 @ SV177 @ SV397 @ SV794 )
              = ( c_Type_Oty_Oty__case @ SY4958 @ SY4955 @ SY4956 @ SY4957 @ SV599 @ SV397 @ SV794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1486]) ).

thf(1698,plain,
    ! [SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ! [SY4959: $i,SY4960: $i,SY4961: $i,SY4962: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
             != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SY4959 @ SY4960 @ SY4961 @ SY4962 @ SV178 @ SV398 @ SV795 )
              = ( c_Type_Oty_Oty__case @ SY4959 @ SY4960 @ SY4961 @ SY4962 @ SV600 @ SV398 @ SV795 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1699,plain,
    ! [SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ! [SY4963: $i,SY4964: $i,SY4965: $i,SY4966: $i,SY4967: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SY4963 )
             != ( c_Expr_Oexp_OFAss @ SY4964 @ SY4965 @ SY4966 @ SY4967 @ SY4963 ) )
            | ( SV179 = SY4964 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1488]) ).

thf(1700,plain,
    ! [SV797: $i,SV602: $i,SV400: $i,SV180: $i] :
      ( ( ! [SY4968: $i,SY4969: $i,SY4970: $i] :
            ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SV602 )
           != ( c_Expr_Oexp_OFAss @ SV797 @ SY4968 @ SY4969 @ SY4970 @ SV602 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1489]) ).

thf(1701,plain,
    ! [SV798: $i,SV603: $i,SV401: $i,SV181: $i] :
      ( ( ! [SY4971: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV181 @ SV401 @ SV603 )
             != ( c_Expr_Oexp_OCast @ SV798 @ SY4971 @ SV603 ) )
            | ( SV401 = SY4971 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1490]) ).

thf(1702,plain,
    ! [SV799: $i,SV604: $i,SV402: $i,SV182: $i] :
      ( ( ! [SY4972: $i,SY4973: $i,SY4974: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SV799 )
             != ( c_Expr_Oexp_OFAcc @ SY4972 @ SY4973 @ SY4974 @ SV799 ) )
            | ( SV604 = SY4974 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1703,plain,
    ! [SV800: $i,SV605: $i,SV403: $i,SV183: $i] :
      ( ( ! [SY4975: $i,SY4976: $i] :
            ( ( ( c_Pair @ SV183 @ SV403 @ SV605 @ SV800 )
             != ( c_Pair @ SY4975 @ SY4976 @ SV605 @ SV800 ) )
            | ( SV183 = SY4975 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1704,plain,
    ! [SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY4977: $i,SY4978: $i,SY4979: $i,SY4980: $i,SY4981: $i,SY4982: $i,SY4983: $i,SY4984: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY4977 @ SY4978 @ SY4979 @ SY4980 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SY4981 @ SY4982 @ SY4983 @ SY4984 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1705,plain,
    ! [SV802: $i,SV607: $i,SV405: $i,SV186: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV186 @ SV405 )
       != ( c_Expr_Oexp_OSeq @ SV607 @ SV802 @ SV405 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1494]) ).

thf(1706,plain,
    ! [SV803: $i,SV608: $i,SV406: $i,SV187: $i] :
      ( ( ! [SY4985: $i] :
            ( ( c_Expr_Oexp_OCast @ SV187 @ SV406 @ SV608 )
           != ( c_Expr_Oexp_OSeq @ SV803 @ SY4985 @ SV608 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1707,plain,
    ! [SV804: $i,SV609: $i,SV407: $i,SV188: $i] :
      ( ( ! [SY4986: $i,SY4987: $i] :
            ( ( c_Expr_Oexp_OCast @ SV188 @ SV407 @ SV609 )
           != ( c_Expr_Oexp_OFAcc @ SV804 @ SY4986 @ SY4987 @ SV609 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1708,plain,
    ! [SV805: $i,SV610: $i,SV408: $i,SV189: $i] :
      ( ( ! [SY4988: $i,SY4989: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV189 @ SV408 @ SV610 @ SV805 )
           != ( c_Expr_Oexp_OSeq @ SY4988 @ SY4989 @ SV805 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1497]) ).

thf(1709,plain,
    ! [SV806: $i,SV611: $i,SV409: $i,SV190: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV190 @ SV409 @ SV611 )
       != ( c_Expr_Oexp_Onew @ SV806 @ SV611 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1710,plain,
    ! [SV807: $i,SV612: $i,SV410: $i,SV191: $i] :
      ( ( ! [SY4990: $i,SY4991: $i,SY4992: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SV612 @ SV807 @ SY4990 )
           != ( c_Expr_Oexp_OCast @ SY4991 @ SY4992 @ SY4990 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1711,plain,
    ! [SV613: $i,SV411: $i,SV192: $i] :
      ( ( ( ( c_Expr_Oexp_Onew @ SV192 @ SV411 )
         != ( c_Expr_Oexp_Onew @ SV613 @ SV411 ) )
        = $true )
      | ( ( SV192 = SV613 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1500]) ).

thf(1712,plain,
    ! [SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY4993: $i,SY4994: $i,SY4995: $i,SY4996: $i,SY4997: $i,SY4998: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY4993 @ SY4994 @ SY4995 @ SY4996 @ SV193 @ SV412 @ SV808 )
              = ( c_Type_Oty_Oty__case @ SY4993 @ SY4997 @ SY4998 @ SY4996 @ SV614 @ SV412 @ SV808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1501]) ).

thf(1713,plain,
    ! [SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ! [SY4999: $i,SY5000: $i,SY5001: $i,SY5002: $i,SY5003: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SY4999 )
             != ( c_Expr_Oexp_OFAss @ SY5000 @ SY5001 @ SY5002 @ SY5003 @ SY4999 ) )
            | ( SV413 = SY5001 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1714,plain,
    ! [SV810: $i,SV616: $i,SV414: $i,SV195: $i] :
      ( ( ! [SY5004: $i,SY5005: $i] :
            ( ( c_Expr_Oexp_Onew @ SV195 @ SV414 )
           != ( c_Expr_Oexp_OFAss @ SV616 @ SV810 @ SY5004 @ SY5005 @ SV414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1503]) ).

thf(1715,plain,
    ! [SV811: $i,SV617: $i,SV415: $i,SV196: $i] :
      ( ( ! [SY5006: $i,SY5007: $i,SY5008: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SV811 )
             != ( c_Expr_Oexp_OFAcc @ SY5006 @ SY5007 @ SY5008 @ SV811 ) )
            | ( SV415 = SY5007 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1716,plain,
    ! [SV812: $i,SV618: $i,SV416: $i,SV197: $i] :
      ( ( ! [SY5009: $i,SY5010: $i,SY5011: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SV618 @ SV812 @ SY5009 )
           != ( c_Expr_Oexp_OSeq @ SY5010 @ SY5011 @ SY5009 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1717,plain,
    ! [SV813: $i,SV619: $i,SV417: $i,SV198: $i] :
      ( ( ! [SY5012: $i,SY5013: $i,SY5014: $i,SY5015: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SV813 )
           != ( c_Expr_Oexp_OFAss @ SY5012 @ SY5013 @ SY5014 @ SY5015 @ SV813 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1506]) ).

thf(1718,plain,
    ! [SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY5016: $i,SY5017: $i,SY5018: $i,SY5019: $i,SY5020: $i,SY5021: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY5016 @ SY5017 @ SY5018 @ SY5019 @ SV199 @ SV418 @ SV814 )
              = ( c_Type_Oty_Oty__case @ SY5020 @ SY5017 @ SY5018 @ SY5021 @ SV620 @ SV418 @ SV814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1507]) ).

thf(1719,plain,
    ! [SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY5022: $i,SY5023: $i,SY5024: $i,SY5025: $i,SY5026: $i,SY5027: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY5022 @ SY5023 @ SY5024 @ SY5025 @ SV200 @ SV419 @ SV815 )
              = ( c_Type_Oty_Oty__case @ SY5022 @ SY5026 @ SY5024 @ SY5027 @ SV621 @ SV419 @ SV815 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1508]) ).

thf(1720,plain,
    ! [SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ! [SY5028: $i,SY5029: $i,SY5030: $i,SY5031: $i,SY5032: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SY5028 )
             != ( c_Expr_Oexp_OFAss @ SY5029 @ SY5030 @ SY5031 @ SY5032 @ SY5028 ) )
            | ( SV816 = SY5032 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1721,plain,
    ! [SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ! [SY5033: $i,SY5034: $i,SY5035: $i,SY5036: $i,SY5037: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SY5033 )
             != ( c_Expr_Oexp_OFAss @ SY5034 @ SY5035 @ SY5036 @ SY5037 @ SY5033 ) )
            | ( SV623 = SY5036 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1510]) ).

thf(1722,plain,
    ! [SV818: $i,SV624: $i,SV422: $i,SV204: $i] :
      ( ( ! [SY5038: $i] :
            ( ( ( c_Expr_Oexp_OCast @ SV204 @ SV422 @ SV624 )
             != ( c_Expr_Oexp_OCast @ SV818 @ SY5038 @ SV624 ) )
            | ( SV204 = SV818 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1511]) ).

thf(1723,plain,
    ! [SV819: $i,SV625: $i,SV423: $i,SV206: $i] :
      ( ( ! [SY5039: $i,SY5040: $i,SY5041: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SV819 )
             != ( c_Expr_Oexp_OFAcc @ SY5039 @ SY5040 @ SY5041 @ SV819 ) )
            | ( SV206 = SY5039 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1724,plain,
    ! [SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY5042: $i,SY5043: $i,SY5044: $i,SY5045: $i,SY5046: $i,SY5047: $i,SY5048: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY5042 @ SY5043 @ SY5044 @ SY5045 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SY5042 @ SY5046 @ SY5047 @ SY5048 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1725,plain,
    ! [SV821: $i,SV627: $i,SV425: $i,SV209: $i] :
      ( ( ! [SY5049: $i,SY5050: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV209 @ SV425 @ SV627 @ SV821 )
           != ( c_Expr_Oexp_OCast @ SY5049 @ SY5050 @ SV821 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1514]) ).

thf(1726,plain,
    ! [SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ! [SY5051: $i,SY5052: $i,SY5053: $i,SY5054: $i,SY5055: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
             != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SY5051 @ SY5052 @ SY5053 @ SY5054 @ SV211 @ SV426 @ SV822 )
              = ( c_Type_Oty_Oty__case @ SY5051 @ SY5055 @ SY5053 @ SY5054 @ SV628 @ SV426 @ SV822 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1727,plain,
    ! [SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY5056: $i,SY5057: $i,SY5058: $i,SY5059: $i,SY5060: $i,SY5061: $i,SY5062: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY5056 @ SY5057 @ SY5058 @ SY5059 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SY5060 @ SY5061 @ SY5058 @ SY5062 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1516]) ).

thf(1728,plain,
    ! [SV428: $i,SV214: $i] :
      ( ( ( ( c_Type_Oty_OClass @ SV214 )
          = ( c_Type_Oty_OClass @ SV428 ) )
        = $false )
      | ( ( SV214 = SV428 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1517]) ).

thf(1729,plain,
    ! [SV824: $i,SV630: $i,SV429: $i,SV215: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV215 @ SV429 )
       != ( c_Expr_Oexp_OCast @ SV630 @ SV824 @ SV429 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1518]) ).

thf(1730,plain,
    ! [SV825: $i,SV631: $i,SV430: $i,SV216: $i] :
      ( ( ! [SY5063: $i,SY5064: $i,SY5065: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SV631 )
           != ( c_Expr_Oexp_OFAss @ SV825 @ SY5063 @ SY5064 @ SY5065 @ SV631 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1731,plain,
    ! [SV826: $i,SV632: $i,SV431: $i,SV217: $i] :
      ( ( ! [SY5066: $i] :
            ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SV431 @ SV632 )
             != ( c_Expr_Oexp_OSeq @ SV826 @ SY5066 @ SV632 ) )
            | ( SV217 = SV826 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1520]) ).

thf(1732,plain,
    ! [SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY5067: $i,SY5068: $i,SY5069: $i,SY5070: $i,SY5071: $i,SY5072: $i,SY5073: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY5067 @ SY5068 @ SY5069 @ SY5070 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SY5071 @ SY5072 @ SY5073 @ SY5070 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1521]) ).

thf(1733,plain,
    ! [SV828: $i,SV634: $i,SV433: $i,SV219: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV219 @ SV433 @ SV634 )
       != ( c_Expr_Oexp_Onew @ SV828 @ SV634 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1522]) ).

thf(1734,plain,
    ! [SV829: $i,SV635: $i,SV434: $i,SV221: $i] :
      ( ( ! [SY5074: $i,SY5075: $i] :
            ( ( ( c_Pair @ SV221 @ SV434 @ SV635 @ SV829 )
             != ( c_Pair @ SY5074 @ SY5075 @ SV635 @ SV829 ) )
            | ( SV434 = SY5075 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1523]) ).

thf(1735,plain,
    ! [SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY5076: $i,SY5077: $i,SY5078: $i,SY5079: $i,SY5080: $i,SY5081: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY5076 @ SY5077 @ SY5078 @ SY5079 @ SV222 @ SV435 @ SV830 )
              = ( c_Type_Oty_Oty__case @ SY5080 @ SY5077 @ SY5081 @ SY5079 @ SV636 @ SV435 @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1736,plain,
    ! [SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY5082: $i,SY5083: $i,SY5084: $i,SY5085: $i,SY5086: $i,SY5087: $i,SY5088: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY5082 @ SY5083 @ SY5084 @ SY5085 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SY5086 @ SY5083 @ SY5087 @ SY5088 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1737,plain,
    ! [SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ! [SY5089: $i,SY5090: $i,SY5091: $i,SY5092: $i,SY5093: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
             != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SY5089 @ SY5090 @ SY5091 @ SY5092 @ SV224 @ SV437 @ SV832 )
              = ( c_Type_Oty_Oty__case @ SY5089 @ SY5090 @ SY5093 @ SY5092 @ SV638 @ SV437 @ SV832 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1526]) ).

thf(1738,plain,
    ! [SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY5094: $i,SY5095: $i,SY5096: $i,SY5097: $i,SY5098: $i,SY5099: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SY5094 @ SY5095 @ SY5096 @ SY5097 @ SV225 @ SV438 @ SV833 )
              = ( c_Type_Oty_Oty__case @ SY5098 @ SY5099 @ SY5096 @ SY5097 @ SV639 @ SV438 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1527]) ).

thf(1739,plain,
    ! [SV834: $i,SV640: $i,SV439: $i,SV226: $i] :
      ( ( ! [SY5100: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV226 @ SV439 @ SV640 @ SV834 )
           != ( c_Expr_Oexp_Onew @ SY5100 @ SV834 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1740,plain,
    ! [SV835: $i,SV641: $i,SV440: $i,SV227: $i,SV1: $i] :
      ( ( ! [SY5101: $i,SY5102: $i,SY5103: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SY5101 @ SY5102 @ SY5103 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SY5101 @ SY5102 @ SY5103 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SY5102 @ SV641 @ ( c_Expr_Oexp_OFAss @ SY5101 @ SV835 @ SV440 @ SY5103 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1529]) ).

thf(1741,plain,
    ! [SV836: $i,SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ! [SY5104: $i,SY5105: $i,SY5106: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SY5104 @ SV2 @ SV642 @ SV228 @ SY5105 ) @ SY5104 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SY5104 @ SV2 @ SV642 @ SV228 @ SY5105 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SY5104 @ SV836 @ SY5105 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5106 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1530]) ).

thf(1742,plain,
    ! [SV837: $i,SV643: $i,SV442: $i,SV229: $i,SV3: $i] :
      ( ( ! [SY5107: $i] :
            ( ( c_WellType_OWT @ SV3 @ SV229 @ SV442 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV643 @ SV229 @ SV837 @ SV3 @ SY5107 @ SV442 ) ) )
            | ~ ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SV442 @ SV837 @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5107 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1743,plain,
    ! [SV4: $i] :
      ( ( ( SV4 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV4 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV4 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV4 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV4
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1532]) ).

thf(1744,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1533]) ).

thf(1745,plain,
    ! [SV6: $i] :
      ( ( ( SV6 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV6 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV6 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV6 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV6
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ SV6 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1534]) ).

thf(1746,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1535]) ).

thf(1747,plain,
    ! [SV838: $i,SV644: $i,SV443: $i,SV232: $i,SV8: $i] :
      ( ( ! [SY5108: $i,SY5109: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV838 @ SV443 @ SY5108 @ SV8 @ SY5109 @ SV644 @ SV232 ) @ SY5108 @ SY5109 @ SV838 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SY5108 @ SV838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1748,plain,
    ! [SV839: $i,SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ! [SY5110: $i,SY5111: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV839 @ SV444 @ SY5110 @ SV9 @ SY5111 @ SV645 @ SV233 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SY5110 @ SV839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5111 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1749,plain,
    ! [SV840: $i,SV646: $i,SV445: $i,SV234: $i,SV10: $i] :
      ( ( ! [SY5112: $i,SY5113: $i,SY5114: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY5112 @ SV646 @ SY5113 @ SV234 @ SV840 @ SV445 @ SY5114 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SY5113 @ SY5112 @ SY5114 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1538]) ).

thf(1750,plain,
    ! [SV841: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ! [SY5115: $i,SY5116: $i,SY5117: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SY5115 @ SV11 @ SV647 @ SV235 @ SY5116 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SY5115 @ SV841 @ SY5116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5117 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1751,plain,
    ! [SV842: $i,SV648: $i,SV447: $i,SV236: $i,SV12: $i] :
      ( ( ! [SY5118: $i,SY5119: $i] :
            ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5118 )
            | ~ ( c_TypeRel_Osees__field @ SV12 @ SY5119 @ SV648 @ SY5118 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SY5119 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1752,plain,
    ! [SV843: $i,SV649: $i,SV448: $i,SV237: $i,SV13: $i] :
      ( ( ! [SY5120: $i] :
            ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SV448 @ SV649 @ SV237 @ SV843 )
            | ~ ( c_TypeRel_Osees__field @ SV13 @ SY5120 @ SV448 @ SV649 @ SV237 @ SV843 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1541]) ).

thf(1753,plain,
    ! [SV844: $i,SV650: $i,SV449: $i,SV238: $i,SV14: $i] :
      ( ( ! [SY5121: $i] :
            ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SY5121 )
            | ~ ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SY5121 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1754,plain,
    ! [SV845: $i,SV651: $i,SV450: $i,SV239: $i,SV15: $i] :
      ( ( ! [SY5122: $i] :
            ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SV450 @ SV651 @ SV15 @ SV845 @ SY5122 ) @ SV651 @ SV845 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV15 @ SV450 @ ( c_Expr_Oexp_OFAcc @ SY5122 @ SV651 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV845 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1755,plain,
    ! [SV846: $i,SV652: $i,SV451: $i,SV240: $i,SV16: $i] :
      ( ( ! [SY5123: $i,SY5124: $i,SY5125: $i] :
            ( ( SV16 = SV240 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SY5123 @ SY5124 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SY5125 @ SY5124 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1544]) ).

thf(1756,plain,
    ! [SV847: $i,SV653: $i,SV452: $i,SV241: $i,SV17: $i] :
      ( ( ! [SY5126: $i,SY5127: $i,SY5128: $i] :
            ( ( SV17 = SV241 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SY5126 @ SV17 @ SY5127 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SY5128 @ SV241 @ SY5127 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1757,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1546]) ).

thf(1758,plain,
    ! [SV848: $i,SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ! [SY5129: $i,SY5130: $i,SY5131: $i,SY5132: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SY5129 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SY5130 @ SY5131 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SY5129 @ SY5130 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY5132 @ SV654 @ SY5131 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SY5132 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1547]) ).

thf(1759,plain,
    ! [SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV20: $i] :
      ( ( ! [SY5133: $i,SY5134: $i] :
            ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SY5133 @ SY5134 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY5133 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SY5133 @ SY5134 ) ) ) )
            | ( SY5134 = c_Type_Oty_ONT )
            | ( SY5134 = c_Type_Oty_OInteger )
            | ( SY5134 = c_Type_Oty_OBoolean )
            | ( SY5134 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1548]) ).

thf(1760,plain,
    ! [SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV21: $i] :
      ( ( ! [SY5135: $i,SY5136: $i] :
            ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SY5135 @ SY5136 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SY5135 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SY5135 @ SY5136 ) ) ) )
            | ( SY5136 = c_Type_Oty_ONT )
            | ( SY5136 = c_Type_Oty_OInteger )
            | ( SY5136 = c_Type_Oty_OBoolean )
            | ( SY5136 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1549]) ).

thf(1761,plain,
    ! [SV851: $i,SV657: $i,SV456: $i,SV246: $i,SV22: $i] :
      ( ( ! [SY5137: $i,SY5138: $i] :
            ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SY5137 @ SY5138 @ t_a ) ) )
            | ( SY5138
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SY5137 @ SY5138 ) ) )
            | ( SY5138 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
            | ( SY5138 = c_Type_Oty_OBoolean )
            | ( SY5138 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1762,plain,
    ! [SV852: $i,SV658: $i,SV457: $i,SV247: $i,SV23: $i] :
      ( ( ! [SY5139: $i,SY5140: $i] :
            ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SY5139 @ SY5140 @ t_a ) ) )
            | ( SY5140
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SY5139 @ SY5140 ) ) )
            | ( SY5140 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
            | ( SY5140 = c_Type_Oty_OBoolean )
            | ( SY5140 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1763,plain,
    ! [SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY5141: $i,SY5142: $i,SY5143: $i,SY5144: $i,SY5145: $i,SY5146: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SY5141 @ SV24 @ SY5142 )
              = ( c_Type_Oty_Oty__case @ SY5143 @ SY5144 @ SV659 @ SY5145 @ SY5146 @ SV24 @ SY5142 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SY5141 @ SY5146 @ SY5142 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1764,plain,
    ! [SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY5147: $i,SY5148: $i,SY5149: $i,SY5150: $i,SY5151: $i,SY5152: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SY5147 @ SV25 @ SY5148 )
              = ( c_Type_Oty_Oty__case @ SY5149 @ SY5150 @ SY5151 @ SV854 @ SY5152 @ SV25 @ SY5148 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SY5147 @ SY5152 @ SY5148 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1765,plain,
    ! [SV855: $i,SV661: $i,SV460: $i,SV250: $i,SV26: $i] :
      ( ( ! [SY5153: $i,SY5154: $i] :
            ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SY5153 @ SY5154 @ t_a ) ) )
            | ( SY5154
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SY5153 @ SY5154 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
            | ( SY5154 = c_Type_Oty_OInteger )
            | ( SY5154 = c_Type_Oty_OBoolean )
            | ( SY5154 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1554]) ).

thf(1766,plain,
    ! [SV856: $i,SV662: $i,SV461: $i,SV251: $i,SV27: $i] :
      ( ( ! [SY5155: $i,SY5156: $i] :
            ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SY5155 @ SY5156 @ t_a ) ) )
            | ( SY5156
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SY5155 @ SY5156 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
            | ( SY5156 = c_Type_Oty_OInteger )
            | ( SY5156 = c_Type_Oty_OBoolean )
            | ( SY5156 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1767,plain,
    ! [SV857: $i,SV663: $i,SV462: $i,SV252: $i,SV28: $i] :
      ( ( ! [SY5157: $i,SY5158: $i] :
            ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SY5157 @ SY5158 @ t_a ) ) )
            | ( SY5158
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SY5157 @ SY5158 ) ) )
            | ( SY5158 = c_Type_Oty_ONT )
            | ( SY5158 = c_Type_Oty_OInteger )
            | ( SY5158 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1768,plain,
    ! [SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY5159: $i,SY5160: $i,SY5161: $i,SY5162: $i,SY5163: $i,SY5164: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SY5159 @ SY5160 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY5161 @ SY5162 @ SY5163 @ SY5164 @ SY5159 @ SY5160 ) )
            | ( SY5159
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY5159 @ SV858 @ SY5164 @ SY5160 ) ) )
            | ( SY5159 = c_Type_Oty_ONT )
            | ( SY5159 = c_Type_Oty_OInteger )
            | ( SY5159 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1769,plain,
    ! [SV859: $i,SV665: $i,SV464: $i,SV254: $i,SV30: $i] :
      ( ( ! [SY5165: $i,SY5166: $i] :
            ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SY5165 @ SY5166 @ t_a ) ) )
            | ( SY5166
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SY5165 @ SY5166 ) ) )
            | ( SY5166 = c_Type_Oty_ONT )
            | ( SY5166 = c_Type_Oty_OInteger )
            | ( SY5166 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1558]) ).

thf(1770,plain,
    ! [SV860: $i,SV666: $i,SV465: $i,SV255: $i,SV31: $i] :
      ( ( ! [SY5167: $i,SY5168: $i] :
            ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SY5167 @ SY5168 @ t_a ) ) )
            | ( SY5168
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SY5167 @ SY5168 ) ) )
            | ( SY5168 = c_Type_Oty_ONT )
            | ( SY5168 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
            | ( SY5168 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1771,plain,
    ! [SV861: $i,SV667: $i,SV466: $i,SV256: $i,SV32: $i] :
      ( ( ! [SY5169: $i,SY5170: $i] :
            ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SY5169 @ SY5170 @ t_a ) ) )
            | ( SY5170
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SY5169 @ SY5170 ) ) )
            | ( SY5170 = c_Type_Oty_ONT )
            | ( SY5170 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
            | ( SY5170 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1560]) ).

thf(1772,plain,
    ! [SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY5171: $i,SY5172: $i,SY5173: $i,SY5174: $i,SY5175: $i,SY5176: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SY5171 @ SV33 @ SY5172 )
              = ( c_Type_Oty_Oty__case @ SY5173 @ SV467 @ SY5174 @ SY5175 @ SY5176 @ SV33 @ SY5172 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SY5171 @ SY5176 @ SY5172 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1561]) ).

thf(1773,plain,
    ! [SV863: $i,SV669: $i,SV468: $i,SV258: $i,SV34: $i] :
      ( ( ! [SY5177: $i,SY5178: $i] :
            ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SY5177 @ SY5178 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY5177 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SY5177 @ SY5178 ) ) ) )
            | ( SY5178 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
            | ( SY5178 = c_Type_Oty_OBoolean )
            | ( SY5178 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1562]) ).

thf(1774,plain,
    ! [SV864: $i,SV670: $i,SV469: $i,SV259: $i,SV35: $i] :
      ( ( ! [SY5179: $i,SY5180: $i] :
            ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SY5179 @ SY5180 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SY5179 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SY5179 @ SY5180 ) ) ) )
            | ( SY5180 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
            | ( SY5180 = c_Type_Oty_OBoolean )
            | ( SY5180 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1775,plain,
    ! [SV865: $i,SV671: $i,SV470: $i,SV260: $i,SV36: $i] :
      ( ( ! [SY5181: $i,SY5182: $i] :
            ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SY5181 @ SY5182 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SY5181 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SY5181 @ SY5182 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
            | ( SY5182 = c_Type_Oty_OInteger )
            | ( SY5182 = c_Type_Oty_OBoolean )
            | ( SY5182 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1564]) ).

thf(1776,plain,
    ! [SV866: $i,SV672: $i,SV471: $i,SV261: $i,SV37: $i] :
      ( ( ! [SY5183: $i,SY5184: $i] :
            ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SY5183 @ SY5184 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SY5183 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SY5183 @ SY5184 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
            | ( SY5184 = c_Type_Oty_OInteger )
            | ( SY5184 = c_Type_Oty_OBoolean )
            | ( SY5184 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1565]) ).

thf(1777,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV262: $i,SV38: $i] :
      ( ( ! [SY5185: $i,SY5186: $i] :
            ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SY5185 @ SY5186 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SY5185 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SY5185 @ SY5186 ) ) ) )
            | ( SY5186 = c_Type_Oty_ONT )
            | ( SY5186 = c_Type_Oty_OInteger )
            | ( SY5186 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1566]) ).

thf(1778,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV263: $i,SV39: $i] :
      ( ( ! [SY5187: $i,SY5188: $i] :
            ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SY5187 @ SY5188 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SY5187 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SY5187 @ SY5188 ) ) ) )
            | ( SY5188 = c_Type_Oty_ONT )
            | ( SY5188 = c_Type_Oty_OInteger )
            | ( SY5188 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1779,plain,
    ! [SV869: $i,SV675: $i,SV474: $i,SV264: $i,SV40: $i] :
      ( ( ! [SY5189: $i,SY5190: $i] :
            ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SY5189 @ SY5190 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SY5189 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SY5189 @ SY5190 ) ) ) )
            | ( SY5190 = c_Type_Oty_ONT )
            | ( SY5190 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
            | ( SY5190 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1568]) ).

thf(1780,plain,
    ! [SV870: $i,SV676: $i,SV475: $i,SV265: $i,SV41: $i] :
      ( ( ! [SY5191: $i,SY5192: $i] :
            ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SY5191 @ SY5192 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SY5191 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SY5191 @ SY5192 ) ) ) )
            | ( SY5192 = c_Type_Oty_ONT )
            | ( SY5192 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
            | ( SY5192 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1569]) ).

thf(1781,plain,
    ! [SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY5193: $i,SY5194: $i,SY5195: $i,SY5196: $i,SY5197: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SY5193 @ SV42 @ SY5194 )
              = ( c_Type_Oty_Oty__case @ SY5195 @ SY5196 @ SV677 @ SV871 @ SY5197 @ SV42 @ SY5194 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SY5193 @ SY5197 @ SY5194 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1570]) ).

thf(1782,plain,
    ! [SV872: $i,SV678: $i,SV477: $i,SV267: $i,SV43: $i] :
      ( ( ! [SY5198: $i,SY5199: $i] :
            ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SY5198 @ SY5199 @ t_a ) ) )
            | ( SY5199
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SY5198 @ SY5199 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
            | ( SY5199 = c_Type_Oty_OBoolean )
            | ( SY5199 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1571]) ).

thf(1783,plain,
    ! [SV873: $i,SV679: $i,SV478: $i,SV268: $i,SV44: $i] :
      ( ( ! [SY5200: $i,SY5201: $i] :
            ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SY5200 @ SY5201 @ t_a ) ) )
            | ( SY5201
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SY5200 @ SY5201 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
            | ( SY5201 = c_Type_Oty_OBoolean )
            | ( SY5201 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1572]) ).

thf(1784,plain,
    ! [SV874: $i,SV680: $i,SV479: $i,SV269: $i,SV45: $i] :
      ( ( ! [SY5202: $i,SY5203: $i] :
            ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SY5202 @ SY5203 @ t_a ) ) )
            | ( SY5203
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SY5202 @ SY5203 ) ) )
            | ( SY5203 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
            | ( SY5203 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1573]) ).

thf(1785,plain,
    ! [SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY5204: $i,SY5205: $i,SY5206: $i,SY5207: $i,SY5208: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SY5204 @ SV46 @ SY5205 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SY5206 @ SV681 @ SY5207 @ SY5208 @ SV46 @ SY5205 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SY5204 @ SY5208 @ SY5205 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1574]) ).

thf(1786,plain,
    ! [SV876: $i,SV682: $i,SV481: $i,SV271: $i,SV47: $i] :
      ( ( ! [SY5209: $i,SY5210: $i] :
            ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SY5209 @ SY5210 @ t_a ) ) )
            | ( SY5210
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SY5209 @ SY5210 ) ) )
            | ( SY5210 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
            | ( SY5210 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1575]) ).

thf(1787,plain,
    ! [SV877: $i,SV683: $i,SV482: $i,SV272: $i,SV48: $i] :
      ( ( ! [SY5211: $i,SY5212: $i] :
            ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SY5211 @ SY5212 @ t_a ) ) )
            | ( SY5212
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SY5211 @ SY5212 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
            | ( SY5212 = c_Type_Oty_OInteger )
            | ( SY5212 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1576]) ).

thf(1788,plain,
    ! [SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY5213: $i,SY5214: $i,SY5215: $i,SY5216: $i,SY5217: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SY5213 @ SV49 @ SY5214 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SY5215 @ SY5216 @ SV878 @ SY5217 @ SV49 @ SY5214 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SY5213 @ SY5217 @ SY5214 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1577]) ).

thf(1789,plain,
    ! [SV879: $i,SV685: $i,SV484: $i,SV274: $i,SV50: $i] :
      ( ( ! [SY5218: $i,SY5219: $i] :
            ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SY5218 @ SY5219 @ t_a ) ) )
            | ( SY5219
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SY5218 @ SY5219 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
            | ( SY5219 = c_Type_Oty_OInteger )
            | ( SY5219 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1578]) ).

thf(1790,plain,
    ! [SV880: $i,SV686: $i,SV485: $i,SV275: $i,SV51: $i] :
      ( ( ! [SY5220: $i,SY5221: $i] :
            ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SY5220 @ SY5221 @ t_a ) ) )
            | ( SY5221
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SY5220 @ SY5221 ) ) )
            | ( SY5221 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
            | ( SY5221 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1579]) ).

thf(1791,plain,
    ! [SV881: $i,SV687: $i,SV486: $i,SV276: $i,SV52: $i] :
      ( ( ! [SY5222: $i,SY5223: $i] :
            ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SY5222 @ SY5223 @ t_a ) ) )
            | ( SY5223
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SY5222 @ SY5223 ) ) )
            | ( SY5223 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
            | ( SY5223 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1580]) ).

thf(1792,plain,
    ! [SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY5224: $i,SY5225: $i,SY5226: $i,SY5227: $i,SY5228: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SY5224 @ SV53 @ SY5225 )
              = ( c_Type_Oty_Oty__case @ SY5226 @ SV487 @ SV688 @ SY5227 @ SY5228 @ SV53 @ SY5225 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SY5224 @ SY5228 @ SY5225 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1581]) ).

thf(1793,plain,
    ! [SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY5229: $i,SY5230: $i,SY5231: $i,SY5232: $i,SY5233: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SY5229 @ SV54 @ SY5230 )
              = ( c_Type_Oty_Oty__case @ SY5231 @ SV488 @ SY5232 @ SV883 @ SY5233 @ SV54 @ SY5230 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SY5229 @ SY5233 @ SY5230 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1582]) ).

thf(1794,plain,
    ! [SV884: $i,SV690: $i,SV489: $i,SV279: $i,SV55: $i] :
      ( ( ! [SY5234: $i,SY5235: $i] :
            ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SY5234 @ SY5235 @ t_a ) ) )
            | ( SY5235
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SY5234 @ SY5235 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
            | ( SY5235 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
            | ( SY5235 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1583]) ).

thf(1795,plain,
    ! [SV885: $i,SV691: $i,SV490: $i,SV280: $i,SV56: $i] :
      ( ( ! [SY5236: $i,SY5237: $i] :
            ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SY5236 @ SY5237 @ t_a ) ) )
            | ( SY5237
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SY5236 @ SY5237 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
            | ( SY5237 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
            | ( SY5237 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1584]) ).

thf(1796,plain,
    ! [SV886: $i,SV692: $i,SV491: $i,SV281: $i,SV57: $i] :
      ( ( ! [SY5238: $i,SY5239: $i] :
            ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SY5238 @ SY5239 @ t_a ) ) )
            | ( SY5239
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SY5238 @ SY5239 ) ) )
            | ( SY5239 = c_Type_Oty_ONT )
            | ( SY5239 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1585]) ).

thf(1797,plain,
    ! [SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY5240: $i,SY5241: $i,SY5242: $i,SY5243: $i,SY5244: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SY5240 @ SY5241 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY5242 @ SY5243 @ SY5244 @ SY5240 @ SY5241 ) )
            | ( SY5240
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY5240 @ SV887 @ SY5244 @ SY5241 ) ) )
            | ( SY5240 = c_Type_Oty_ONT )
            | ( SY5240 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1798,plain,
    ! [SV888: $i,SV694: $i,SV493: $i,SV283: $i,SV59: $i] :
      ( ( ! [SY5245: $i,SY5246: $i] :
            ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SY5245 @ SY5246 @ t_a ) ) )
            | ( SY5246
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SY5245 @ SY5246 ) ) )
            | ( SY5246 = c_Type_Oty_ONT )
            | ( SY5246 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1799,plain,
    ! [SV889: $i,SV695: $i,SV494: $i,SV284: $i,SV60: $i] :
      ( ( ! [SY5247: $i,SY5248: $i] :
            ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SY5247 @ SY5248 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SY5247 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SY5247 @ SY5248 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
            | ( SY5248 = c_Type_Oty_OBoolean )
            | ( SY5248 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1588]) ).

thf(1800,plain,
    ! [SV890: $i,SV696: $i,SV495: $i,SV285: $i,SV61: $i] :
      ( ( ! [SY5249: $i,SY5250: $i] :
            ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SY5249 @ SY5250 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SY5249 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SY5249 @ SY5250 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
            | ( SY5250 = c_Type_Oty_OBoolean )
            | ( SY5250 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1589]) ).

thf(1801,plain,
    ! [SV891: $i,SV697: $i,SV496: $i,SV286: $i,SV62: $i] :
      ( ( ! [SY5251: $i,SY5252: $i] :
            ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SY5251 @ SY5252 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SY5251 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SY5251 @ SY5252 ) ) ) )
            | ( SY5252 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
            | ( SY5252 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1590]) ).

thf(1802,plain,
    ! [SV892: $i,SV698: $i,SV497: $i,SV287: $i,SV63: $i] :
      ( ( ! [SY5253: $i,SY5254: $i] :
            ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SY5253 @ SY5254 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SY5253 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SY5253 @ SY5254 ) ) ) )
            | ( SY5254 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
            | ( SY5254 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1591]) ).

thf(1803,plain,
    ! [SV893: $i,SV699: $i,SV498: $i,SV288: $i,SV64: $i] :
      ( ( ! [SY5255: $i,SY5256: $i] :
            ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SY5255 @ SY5256 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SY5255 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SY5255 @ SY5256 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
            | ( SY5256 = c_Type_Oty_OInteger )
            | ( SY5256 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1592]) ).

thf(1804,plain,
    ! [SV894: $i,SV700: $i,SV499: $i,SV289: $i,SV65: $i] :
      ( ( ! [SY5257: $i,SY5258: $i] :
            ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SY5257 @ SY5258 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SY5257 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SY5257 @ SY5258 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
            | ( SY5258 = c_Type_Oty_OInteger )
            | ( SY5258 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1593]) ).

thf(1805,plain,
    ! [SV895: $i,SV701: $i,SV500: $i,SV290: $i,SV66: $i] :
      ( ( ! [SY5259: $i,SY5260: $i] :
            ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SY5259 @ SY5260 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SY5259 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SY5259 @ SY5260 ) ) ) )
            | ( SY5260 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
            | ( SY5260 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1594]) ).

thf(1806,plain,
    ! [SV896: $i,SV702: $i,SV501: $i,SV291: $i,SV67: $i] :
      ( ( ! [SY5261: $i,SY5262: $i] :
            ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SY5261 @ SY5262 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SY5261 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SY5261 @ SY5262 ) ) ) )
            | ( SY5262 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
            | ( SY5262 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1595]) ).

thf(1807,plain,
    ! [SV897: $i,SV703: $i,SV502: $i,SV292: $i,SV68: $i] :
      ( ( ! [SY5263: $i,SY5264: $i] :
            ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SY5263 @ SY5264 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SY5263 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SY5263 @ SY5264 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
            | ( SY5264 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
            | ( SY5264 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1596]) ).

thf(1808,plain,
    ! [SV898: $i,SV704: $i,SV503: $i,SV293: $i,SV69: $i] :
      ( ( ! [SY5265: $i,SY5266: $i] :
            ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SY5265 @ SY5266 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SY5265 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SY5265 @ SY5266 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
            | ( SY5266 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
            | ( SY5266 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1597]) ).

thf(1809,plain,
    ! [SV899: $i,SV705: $i,SV504: $i,SV294: $i,SV70: $i] :
      ( ( ! [SY5267: $i,SY5268: $i] :
            ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SY5267 @ SY5268 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SY5267 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SY5267 @ SY5268 ) ) ) )
            | ( SY5268 = c_Type_Oty_ONT )
            | ( SY5268 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1598]) ).

thf(1810,plain,
    ! [SV900: $i,SV706: $i,SV505: $i,SV295: $i,SV71: $i] :
      ( ( ! [SY5269: $i,SY5270: $i] :
            ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SY5269 @ SY5270 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY5269 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SY5269 @ SY5270 ) ) ) )
            | ( SY5270 = c_Type_Oty_ONT )
            | ( SY5270 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1599]) ).

thf(1811,plain,
    ! [SV901: $i,SV707: $i,SV506: $i,SV296: $i,SV72: $i] :
      ( ( ! [SY5271: $i,SY5272: $i] :
            ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SY5271 @ SY5272 @ t_a ) ) )
            | ( SY5272
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SY5271 @ SY5272 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
            | ( SY5272 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1600]) ).

thf(1812,plain,
    ! [SV902: $i,SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ! [SY5273: $i,SY5274: $i,SY5275: $i,SY5276: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SY5273 @ SV73 @ SY5274 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SY5275 @ SV708 @ SV902 @ SY5276 @ SV73 @ SY5274 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SY5273 @ SY5276 @ SY5274 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1601]) ).

thf(1813,plain,
    ! [SV903: $i,SV709: $i,SV508: $i,SV298: $i,SV74: $i] :
      ( ( ! [SY5277: $i,SY5278: $i] :
            ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SY5277 @ SY5278 @ t_a ) ) )
            | ( SY5278
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SY5277 @ SY5278 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
            | ( SY5278 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1602]) ).

thf(1814,plain,
    ! [SV904: $i,SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ! [SY5279: $i,SY5280: $i,SY5281: $i,SY5282: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SY5279 @ SV75 @ SY5280 )
              = ( c_Type_Oty_Oty__case @ SY5281 @ SV509 @ SV710 @ SV904 @ SY5282 @ SV75 @ SY5280 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SY5279 @ SY5282 @ SY5280 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1603]) ).

thf(1815,plain,
    ! [SV905: $i,SV711: $i,SV510: $i,SV300: $i,SV76: $i] :
      ( ( ! [SY5283: $i,SY5284: $i] :
            ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SY5283 @ SY5284 @ t_a ) ) )
            | ( SY5284
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SY5283 @ SY5284 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
            | ( SY5284 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1604]) ).

thf(1816,plain,
    ! [SV906: $i,SV712: $i,SV511: $i,SV301: $i,SV77: $i] :
      ( ( ! [SY5285: $i,SY5286: $i] :
            ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SY5285 @ SY5286 @ t_a ) ) )
            | ( SY5286
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SY5285 @ SY5286 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
            | ( SY5286 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1605]) ).

thf(1817,plain,
    ! [SV907: $i,SV713: $i,SV512: $i,SV302: $i,SV78: $i] :
      ( ( ! [SY5287: $i,SY5288: $i] :
            ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SY5287 @ SY5288 @ t_a ) ) )
            | ( SY5288
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SY5287 @ SY5288 ) ) )
            | ( SY5288 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1606]) ).

thf(1818,plain,
    ! [SV908: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ! [SY5289: $i,SY5290: $i,SY5291: $i,SY5292: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SY5289 @ SY5290 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SY5291 @ SY5292 @ SY5289 @ SY5290 ) )
            | ( SY5289
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY5289 @ SV908 @ SY5292 @ SY5290 ) ) )
            | ( SY5289 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1607]) ).

thf(1819,plain,
    ! [SV909: $i,SV715: $i,SV514: $i,SV304: $i,SV80: $i] :
      ( ( ! [SY5293: $i,SY5294: $i] :
            ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SY5293 @ SY5294 @ t_a ) ) )
            | ( SY5294
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SY5293 @ SY5294 ) ) )
            | ( SY5294 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1608]) ).

thf(1820,plain,
    ! [SV910: $i,SV716: $i,SV515: $i,SV305: $i,SV81: $i] :
      ( ( ! [SY5295: $i,SY5296: $i] :
            ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SY5295 @ SY5296 @ t_a ) ) )
            | ( SY5296
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SY5295 @ SY5296 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
            | ( SY5296 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1609]) ).

thf(1821,plain,
    ! [SV911: $i,SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ! [SY5297: $i,SY5298: $i,SY5299: $i,SY5300: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SY5297 @ SV82 @ SY5298 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SY5299 @ SV911 @ SY5300 @ SV82 @ SY5298 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SY5297 @ SY5300 @ SY5298 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1610]) ).

thf(1822,plain,
    ! [SV912: $i,SV718: $i,SV517: $i,SV307: $i,SV83: $i] :
      ( ( ! [SY5301: $i,SY5302: $i] :
            ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SY5301 @ SY5302 @ t_a ) ) )
            | ( SY5302
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SY5301 @ SY5302 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
            | ( SY5302 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1611]) ).

thf(1823,plain,
    ! [SV913: $i,SV719: $i,SV518: $i,SV308: $i,SV84: $i] :
      ( ( ! [SY5303: $i,SY5304: $i] :
            ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SY5303 @ SY5304 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SY5303 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SY5303 @ SY5304 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
            | ( SY5304 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1612]) ).

thf(1824,plain,
    ! [SV914: $i,SV720: $i,SV519: $i,SV309: $i,SV85: $i] :
      ( ( ! [SY5305: $i,SY5306: $i] :
            ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SY5305 @ SY5306 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SY5305 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SY5305 @ SY5306 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
            | ( SY5306 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1613]) ).

thf(1825,plain,
    ! [SV915: $i,SV721: $i,SV520: $i,SV310: $i,SV86: $i] :
      ( ( ! [SY5307: $i,SY5308: $i] :
            ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SY5307 @ SY5308 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SY5307 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SY5307 @ SY5308 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
            | ( SY5308 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1614]) ).

thf(1826,plain,
    ! [SV916: $i,SV722: $i,SV521: $i,SV311: $i,SV87: $i] :
      ( ( ! [SY5309: $i,SY5310: $i] :
            ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SY5309 @ SY5310 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY5309 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SY5309 @ SY5310 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
            | ( SY5310 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1615]) ).

thf(1827,plain,
    ! [SV917: $i,SV723: $i,SV522: $i,SV312: $i,SV88: $i] :
      ( ( ! [SY5311: $i,SY5312: $i] :
            ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SY5311 @ SY5312 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SY5311 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SY5311 @ SY5312 ) ) ) )
            | ( SY5312 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1616]) ).

thf(1828,plain,
    ! [SV918: $i,SV724: $i,SV523: $i,SV313: $i,SV89: $i] :
      ( ( ! [SY5313: $i,SY5314: $i] :
            ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SY5313 @ SY5314 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SY5313 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SY5313 @ SY5314 ) ) ) )
            | ( SY5314 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1617]) ).

thf(1829,plain,
    ! [SV919: $i,SV725: $i,SV524: $i,SV314: $i,SV90: $i] :
      ( ( ! [SY5315: $i,SY5316: $i] :
            ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SY5315 @ SY5316 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SY5315 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SY5315 @ SY5316 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
            | ( SY5316 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1618]) ).

thf(1830,plain,
    ! [SV920: $i,SV726: $i,SV525: $i,SV315: $i,SV91: $i] :
      ( ( ! [SY5317: $i,SY5318: $i] :
            ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SY5317 @ SY5318 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SY5317 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SY5317 @ SY5318 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
            | ( SY5318 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1619]) ).

thf(1831,plain,
    ! [SV921: $i,SV727: $i,SV527: $i,SV317: $i,SV93: $i] :
      ( ( ! [SY5319: $i,SY5320: $i] :
            ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SY5319 @ SY5320 @ t_a ) ) )
            | ( SY5320
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SY5319 @ SY5320 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1620]) ).

thf(1832,plain,
    ! [SV922: $i,SV728: $i,SV528: $i,SV318: $i,SV94: $i] :
      ( ( ! [SY5321: $i,SY5322: $i,SY5323: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV922 @ SY5321 @ SY5322 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SY5323 @ SY5321 @ SY5322 ) )
            | ( SY5321
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY5321 @ SV922 @ SY5323 @ SY5322 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1621]) ).

thf(1833,plain,
    ! [SV923: $i,SV729: $i,SV529: $i,SV319: $i,SV95: $i] :
      ( ( ! [SY5324: $i,SY5325: $i] :
            ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SY5324 @ SY5325 @ t_a ) ) )
            | ( SY5325
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SY5324 @ SY5325 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1622]) ).

thf(1834,plain,
    ! [SV924: $i,SV730: $i,SV530: $i,SV320: $i,SV96: $i] :
      ( ( ! [SY5326: $i,SY5327: $i] :
            ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SY5326 @ SY5327 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SY5326 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SY5326 @ SY5327 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1623]) ).

thf(1835,plain,
    ! [SV925: $i,SV731: $i,SV531: $i,SV321: $i,SV97: $i] :
      ( ( ! [SY5328: $i,SY5329: $i] :
            ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SY5328 @ SY5329 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SY5328 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SY5328 @ SY5329 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1624]) ).

thf(1836,plain,
    ! [SV926: $i,SV732: $i,SV533: $i,SV323: $i,SV99: $i] :
      ( ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SV732 )
        | ~ ( c_TypeRel_Owiden @ SV99 @ SV926 @ SV533 @ SV732 )
        | ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV926 @ SV732 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1625]) ).

thf(1837,plain,
    ! [SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY5330: $i,SY5331: $i,SY5332: $i,SY5333: $i,SY5334: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SY5330 @ SY5331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY5332 @ SY5333 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SY5331 @ SY5332 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY5334 @ SV927 @ SY5333 @ SY5330 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SY5334 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1626]) ).

thf(1838,plain,
    ! [SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY5335: $i,SY5336: $i,SY5337: $i,SY5338: $i,SY5339: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SY5335 @ SY5336 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY5337 @ SY5338 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SY5336 @ SY5337 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY5339 @ SV928 @ SY5338 @ SY5335 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SY5339 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1627]) ).

thf(1839,plain,
    ! [SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY5340: $i,SY5341: $i,SY5342: $i,SY5343: $i,SY5344: $i,SY5345: $i,SY5346: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SY5340 @ SY5341 )
              = ( c_Type_Oty_Oty__case @ SY5342 @ SY5343 @ SY5344 @ SY5345 @ SY5346 @ SY5340 @ SY5341 ) )
            | ( SY5340
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SY5340 @ SV929 @ SY5346 @ SY5341 ) ) )
            | ( SY5340 = c_Type_Oty_ONT )
            | ( SY5340 = c_Type_Oty_OInteger )
            | ( SY5340 = c_Type_Oty_OBoolean )
            | ( SY5340 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1628]) ).

thf(1840,plain,
    ! [SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV103: $i] :
      ( ( ! [SY5347: $i,SY5348: $i] :
            ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SY5347 @ SY5348 @ t_a ) ) )
            | ( SY5348
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SY5347 @ SY5348 ) ) )
            | ( SY5348 = c_Type_Oty_ONT )
            | ( SY5348 = c_Type_Oty_OInteger )
            | ( SY5348 = c_Type_Oty_OBoolean )
            | ( SY5348 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1629]) ).

thf(1841,plain,
    ! [SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV104: $i] :
      ( ( ! [SY5349: $i,SY5350: $i] :
            ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SY5349 @ SY5350 @ t_a ) ) )
            | ( SY5350
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SY5349 @ SY5350 ) ) )
            | ( SY5350 = c_Type_Oty_ONT )
            | ( SY5350 = c_Type_Oty_OInteger )
            | ( SY5350 = c_Type_Oty_OBoolean )
            | ( SY5350 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1630]) ).

thf(1842,plain,
    ! [SV329: $i,SV105: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV105 @ v_ea____ @ SV329 )
        = $false )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV105 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ SV105 @ v_P @ SV329 @ v_e_Ha____ @ v_h_Ha____ ) @ SV329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1631]) ).

thf(1843,plain,
    ! [SV330: $i,SV106: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV106 @ v_ea____ @ SV330 )
        = $false )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV106 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV106 @ v_P @ SV330 @ v_e_Ha____ @ v_h_Ha____ ) @ SV330 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1632]) ).

thf(1844,plain,
    ! [SV331: $i,SV107: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV107 @ v_ea____ @ SV331 )
        = $false )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV107 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ SV107 @ v_P @ SV331 @ v_e_Ha____ @ v_h_Ha____ ) @ SV331 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1633]) ).

thf(1845,plain,
    ! [SV932: $i,SV738: $i,SV539: $i,SV332: $i,SV109: $i] :
      ( ( ! [SY5351: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SV539 @ SV738 @ SV932 @ SY5351 @ c_Type_Oty_OVoid @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV109 @ SV332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1635]) ).

thf(1846,plain,
    ! [SV933: $i,SV739: $i,SV540: $i,SV333: $i,SV110: $i] :
      ( ( ! [SY5352: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SV540 @ SV739 @ SV933 @ SY5352 @ c_Type_Oty_OBoolean @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV110 @ SV540 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1636]) ).

thf(1847,plain,
    ! [SV934: $i,SV740: $i,SV541: $i,SV334: $i,SV111: $i] :
      ( ( ! [SY5353: $i] :
            ( ( c_Type_Oty_Oty__case @ SV111 @ SV334 @ SV541 @ SV740 @ SV934 @ c_Type_Oty_OBoolean @ SY5353 )
            = SV334 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1637]) ).

thf(1848,plain,
    ! [SV935: $i,SV741: $i,SV542: $i,SV335: $i,SV112: $i] :
      ( ( ! [SY5354: $i,SY5355: $i] :
            ( ( SV112 = c_Type_Oty_OVoid )
            | ~ ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SV741 @ SV935 @ SY5354 @ SY5355 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1638]) ).

thf(1849,plain,
    ! [SV114: $i,SV336: $i,SV543: $i] :
      ( ( ( ~ ( c_Objects_Ohext @ SV543 @ SV336 ) )
        = $true )
      | ( ( ~ ( c_Objects_Ohext @ SV114 @ SV543 ) )
        = $true )
      | ( ( c_Objects_Ohext @ SV114 @ SV336 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1639]) ).

thf(1850,plain,
    ! [SV936: $i,SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ! [SY5356: $i,SY5357: $i,SY5358: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SY5356 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5357 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY5358 @ SV936 @ SY5357 @ SY5356 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SY5358 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1640]) ).

thf(1851,plain,
    ! [SV937: $i,SV743: $i,SV545: $i,SV338: $i,SV116: $i] :
      ( ( ! [SY5359: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV116 @ SV338 @ SV545 @ SV743 @ SV937 @ c_Type_Oty_OInteger @ SY5359 )
            = SV545 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1641]) ).

thf(1852,plain,
    ! [SV938: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ! [SY5360: $i,SY5361: $i,SY5362: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
            | ( SV938 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SY5360 @ SY5361 @ SY5362 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1642]) ).

thf(1853,plain,
    ! [SV939: $i,SV745: $i,SV547: $i,SV341: $i,SV119: $i] :
      ( ( ! [SY5363: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
            | ~ ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY5363 )
            | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SY5363 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1643]) ).

thf(1854,plain,
    ! [SV746: $i,SV548: $i,SV342: $i,SV120: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV120 @ SV342 @ SV548 @ ( c_Expr_Oexp_Onew @ SV746 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV746 ) )
        = $true )
      | ( ( ~ ( c_Decl_Ois__class @ SV120 @ SV746 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1644]) ).

thf(1855,plain,
    ! [SV940: $i,SV747: $i,SV549: $i,SV343: $i,SV121: $i] :
      ( ( ! [SY5364: $i] :
            ( ( c_Type_Oty_Oty__case @ SV121 @ SV343 @ SV549 @ SV747 @ SV940 @ c_Type_Oty_ONT @ SY5364 )
            = SV747 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1645]) ).

thf(1856,plain,
    ! [SV941: $i,SV748: $i,SV550: $i,SV344: $i,SV122: $i] :
      ( ( ! [SY5365: $i] :
            ( ( c_Type_Oty_Oty__case @ SV122 @ SV344 @ SV550 @ SV748 @ SV941 @ c_Type_Oty_OInteger @ SY5365 )
            = SV550 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1646]) ).

thf(1857,plain,
    ! [SV942: $i,SV749: $i,SV551: $i,SV345: $i,SV123: $i] :
      ( ( ! [SY5366: $i] :
            ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
            | ~ ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Type_Ois__refT @ SY5366 )
            | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SY5366 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1647]) ).

thf(1858,plain,
    ! [SV943: $i,SV750: $i,SV553: $i,SV347: $i,SV125: $i] :
      ( ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SV750 )
        | ~ ( c_Map_Omap__le @ SV943 @ SV347 @ SV553 @ SV750 )
        | ~ ( c_Map_Omap__le @ SV125 @ SV943 @ SV553 @ SV750 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1648]) ).

thf(1859,plain,
    ! [SV944: $i,SV751: $i,SV554: $i,SV348: $i,SV126: $i] :
      ( ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SV751 )
        | ~ ( c_Map_Omap__le @ SV944 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
        | ~ ( c_WellType_OWT @ SV126 @ SV944 @ SV554 @ SV751 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1649]) ).

thf(1860,plain,
    ! [SV349: $i,SV555: $i,SV127: $i] :
      ( ( ( c_Decl_Ois__class @ SV127 @ SV555 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV127 @ SV349 @ ( c_Expr_Oexp_Onew @ SV555 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV555 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1650]) ).

thf(1861,plain,
    ! [SV945: $i,SV752: $i,SV556: $i,SV350: $i,SV128: $i] :
      ( ( ( SV128
          = ( c_Type_Oty_OClass @ SV350 ) )
        | ~ ( c_WellType_OWT @ SV556 @ SV752 @ ( c_Expr_Oexp_OCast @ SV350 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1651]) ).

thf(1862,plain,
    ! [SV946: $i,SV753: $i,SV557: $i,SV351: $i,SV129: $i] :
      ( ( ( c_Decl_Ois__class @ SV129 @ SV351 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV129 @ SV557 @ SV753 @ ( c_Expr_Oexp_Onew @ SV351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV946 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1652]) ).

thf(1863,plain,
    ! [SV947: $i,SV754: $i,SV558: $i,SV352: $i,SV130: $i] :
      ( ( ( c_Decl_Ois__class @ SV130 @ SV352 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellType_OWT @ SV130 @ SV558 @ ( c_Expr_Oexp_OCast @ SV352 @ SV754 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV947 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1653]) ).

thf(1864,plain,
    ! [SV948: $i,SV755: $i,SV559: $i,SV353: $i,SV131: $i] :
      ( ( ! [SY5367: $i,SY5368: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SV755 @ SV948 @ SY5367 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5368 )
            | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SV755 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1654]) ).

thf(1865,plain,
    ! [SV949: $i,SV756: $i,SV560: $i,SV354: $i,SV132: $i] :
      ( ( ! [SY5369: $i,SY5370: $i] :
            ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SV756 @ SV949 @ SY5369 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5370 )
            | ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SV756 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1655]) ).

thf(1866,plain,
    ! [SV950: $i,SV757: $i,SV561: $i,SV355: $i,SV133: $i] :
      ( ( ! [SY5371: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SV561 @ SV757 @ SV950 @ SY5371 @ c_Type_Oty_ONT @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV133 @ SV950 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1656]) ).

thf(1867,plain,
    ! [SV951: $i,SV758: $i,SV562: $i,SV356: $i,SV134: $i] :
      ( ( ! [SY5372: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV134 @ SV356 @ SV562 @ SV758 @ SV951 @ c_Type_Oty_ONT @ SY5372 )
            = SV758 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1657]) ).

thf(1868,plain,
    ! [SV759: $i,SV563: $i,SV357: $i,SV135: $i] :
      ( ( ( SV135 = SV357 )
        = $true )
      | ( ( ~ ( c_Map_Omap__le @ SV357 @ SV135 @ SV563 @ SV759 )
          | ~ ( c_Map_Omap__le @ SV135 @ SV357 @ SV563 @ SV759 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1658]) ).

thf(1869,plain,
    ! [SV952: $i,SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ! [SY5373: $i,SY5374: $i,SY5375: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SY5373 @ SY5374 @ SY5375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1659]) ).

thf(1870,plain,
    ! [SV953: $i,SV761: $i,SV565: $i,SV359: $i,SV137: $i] :
      ( ( ! [SY5376: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SV565 @ SV761 @ SV953 @ SY5376 @ c_Type_Oty_OInteger @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV137 @ SV761 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1660]) ).

thf(1871,plain,
    ! [SV762: $i,SV566: $i,SV360: $i,SV138: $i] :
      ( ( ( SV138
          = ( c_Type_Oty_OClass @ SV360 ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV566 @ SV762 @ ( c_Expr_Oexp_Onew @ SV360 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV138 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1661]) ).

thf(1872,plain,
    ! [SV763: $i,SV567: $i,SV361: $i,SV139: $i] :
      ( ( ( c_Decl_Ois__class @ SV139 @ SV361 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV139 @ SV567 @ ( c_Expr_Oexp_Onew @ SV361 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV763 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1662]) ).

thf(1873,plain,
    ! [SV954: $i,SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ! [SY5377: $i,SY5378: $i,SY5379: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SY5377 @ SY5378 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SY5378 @ SY5379 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1663]) ).

thf(1874,plain,
    ! [SV955: $i,SV765: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ! [SY5380: $i,SY5381: $i] :
            ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5380 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SY5380 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SY5381 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1664]) ).

thf(1875,plain,
    ! [SV956: $i,SV766: $i,SV570: $i,SV364: $i,SV142: $i] :
      ( ( ! [SY5382: $i] :
            ( ( c_Type_Oty_Oty__case @ SV142 @ SV364 @ SV570 @ SV766 @ SV956 @ c_Type_Oty_OVoid @ SY5382 )
            = SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1665]) ).

thf(1876,plain,
    ! [SV957: $i,SV767: $i,SV571: $i,SV365: $i,SV143: $i] :
      ( ( ! [SY5383: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV143 @ SV365 @ SV571 @ SV767 @ SV957 @ c_Type_Oty_OBoolean @ SY5383 )
            = SV365 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1666]) ).

thf(1877,plain,
    ! [SV958: $i,SV768: $i,SV572: $i,SV366: $i,SV144: $i] :
      ( ( ! [SY5384: $i] :
            ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV958 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SV958 )
            | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SY5384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1667]) ).

thf(1878,plain,
    ! [SV959: $i,SV769: $i,SV573: $i,SV367: $i,SV145: $i] :
      ( ( ! [SY5385: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV145 @ SV367 @ SV573 @ SV769 @ SV959 @ c_Type_Oty_OVoid @ SY5385 )
            = SV145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1668]) ).

thf(1879,plain,
    ! [SV960: $i,SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ! [SY5386: $i,SY5387: $i,SY5388: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SY5386 @ SY5387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SY5387 @ SY5388 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1669]) ).

thf(1880,plain,
    ! [SV961: $i,SV771: $i,SV575: $i,SV369: $i,SV147: $i] :
      ( ( ! [SY5389: $i] :
            ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV147 @ SV575 @ SV771 @ ( c_Expr_Oexp_OCast @ SV369 @ SV961 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5389 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1670]) ).

thf(1881,plain,
    ! [SV962: $i,SV772: $i,SV576: $i,SV370: $i,SV148: $i] :
      ( ( ! [SY5390: $i] :
            ( ( SV148
              = ( c_Type_Oty_OClass @ SV370 ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV576 @ SV772 @ SV962 @ ( c_Expr_Oexp_OCast @ SV370 @ SY5390 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1671]) ).

thf(1882,plain,
    ! [SV963: $i,SV773: $i,SV577: $i,SV371: $i,SV149: $i] :
      ( ( ! [SY5391: $i,SY5392: $i] :
            ( ( c_Type_Oty_Oty__case @ SV149 @ SV371 @ SV577 @ SV773 @ SV963 @ ( c_Type_Oty_OClass @ SY5391 ) @ SY5392 )
            = ( hAPP @ SV963 @ SY5391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1672]) ).

thf(1883,plain,
    ! [SV964: $i,SV774: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ! [SY5393: $i,SY5394: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5393 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SY5393 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SY5394 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1673]) ).

thf(1884,plain,
    ! [SV373: $i,SV151: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV151 @ v_ea____ @ SV373 )
        = $false )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV151 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV151 @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ SV151 @ v_P @ SV373 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1674]) ).

thf(1885,plain,
    ! [SV775: $i,SV579: $i,SV374: $i,SV152: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV152 @ SV374 @ SV579 @ ( c_Expr_Oexp_Onew @ SV775 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV775 ) )
        = $true )
      | ( ( ~ ( c_Decl_Ois__class @ SV152 @ SV775 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1675]) ).

thf(1886,plain,
    ! [SV965: $i,SV776: $i,SV580: $i,SV375: $i,SV153: $i] :
      ( ( ( SV153
          = ( c_Type_Oty_OClass @ SV375 ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV580 @ SV776 @ SV965 @ ( c_Expr_Oexp_Onew @ SV375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1676]) ).

thf(1887,plain,
    ! [SV966: $i,SV777: $i,SV581: $i,SV376: $i,SV154: $i] :
      ( ( ! [SY5395: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SV966 )
            | ~ ( c_Map_Omap__le @ SY5395 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
            | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SY5395 @ SV777 @ SV966 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1677]) ).

thf(1888,plain,
    ! [SV967: $i,SV778: $i,SV582: $i,SV377: $i,SV155: $i] :
      ( ( ! [SY5396: $i,SY5397: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV155 @ SV377 @ SV582 @ SV778 @ SV967 @ ( c_Type_Oty_OClass @ SY5396 ) @ SY5397 )
            = ( hAPP @ SV967 @ SY5396 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1678]) ).

thf(1889,plain,
    ! [SV378: $i,SV156: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV156 @ v_ea____ @ SV378 )
        = $false )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV156 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV156 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ SV156 @ v_P @ SV378 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1679]) ).

thf(1890,plain,
    ! [SV968: $i,SV779: $i,SV583: $i,SV379: $i,SV157: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV157 @ SV379 @ SV583 @ SV779 @ SV968 )
        | ~ ( c_WellTypeRT_OWTrt @ SV157 @ SV379 @ SV583 @ SV779 @ SV968 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1680]) ).

thf(1891,plain,
    ! [SV969: $i,SV780: $i,SV584: $i,SV380: $i,SV158: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV158 @ SV380 @ SV584 @ SV780 @ SV969 )
        | ~ ( c_Progress_OWTrt_H @ SV158 @ SV380 @ SV584 @ SV780 @ SV969 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1681]) ).

thf(1892,plain,
    ! [SV970: $i,SV781: $i,SV585: $i,SV381: $i,SV159: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV159 @ SV381 @ SV585 @ SV781 @ SV970 )
        | ~ ( c_WellType_OWT @ SV159 @ SV585 @ SV781 @ SV970 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1682]) ).

thf(1893,plain,
    ! [SV971: $i,SV782: $i,SV586: $i,SV382: $i,SV160: $i] :
      ( ( ! [SY5398: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SV971 )
            | ~ ( c_Objects_Ohext @ SY5398 @ SV382 )
            | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SY5398 @ SV586 @ SV782 @ SV971 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1683]) ).

thf(1894,plain,
    ! [SV972: $i,SV783: $i,SV587: $i,SV383: $i,SV161: $i] :
      ( ( ! [SY5399: $i,SY5400: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SV783 @ SV972 @ SY5399 @ ( c_Type_Oty_OClass @ SY5400 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SY5399 @ SY5400 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1684]) ).

thf(1895,plain,
    ! [SV973: $i,SV784: $i,SV588: $i,SV384: $i,SV162: $i] :
      ( ( ! [SY5401: $i,SY5402: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SV784 @ SV973 @ SY5401 @ ( c_Type_Oty_OClass @ SY5402 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SY5401 @ SY5402 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1685]) ).

thf(1896,plain,
    ! [SV385: $i,SV163: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV163 @ v_ea____ @ SV385 )
        = $false )
      | ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV163 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV163 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV163 @ v_P @ SV385 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1686]) ).

thf(1897,plain,
    ! [SV974: $i,SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ! [SY5403: $i,SY5404: $i,SY5405: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SY5403 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5404 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY5405 @ SV974 @ SY5404 @ SY5403 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SY5405 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1687]) ).

thf(1898,plain,
    ! [SV590: $i,SV388: $i,SV167: $i] :
      ( ( ( c_fequal @ SV167 @ SV388 @ SV590 )
        = $false )
      | ( ( SV167 = SV388 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1688]) ).

thf(1899,plain,
    ! [SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ! [SY5406: $i,SY5407: $i,SY5408: $i,SY5409: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
             != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SV975 @ SY5406 @ SY5407 @ SY5408 @ SV168 @ SV389 @ SV786 )
              = ( c_Type_Oty_Oty__case @ SV975 @ SY5406 @ SY5407 @ SY5409 @ SV591 @ SV389 @ SV786 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(1900,plain,
    ! [SV976: $i,SV787: $i,SV592: $i,SV390: $i,SV170: $i] :
      ( ( ! [SY5410: $i,SY5411: $i,SY5412: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SV787 @ SV976 )
           != ( c_Expr_Oexp_OFAcc @ SY5410 @ SY5411 @ SY5412 @ SV976 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1690]) ).

thf(1901,plain,
    ! [SV977: $i,SV788: $i,SV593: $i,SV391: $i,SV171: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV171 @ SV391 )
       != ( c_Expr_Oexp_OFAcc @ SV593 @ SV788 @ SV977 @ SV391 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1691]) ).

thf(1902,plain,
    ! [SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY5413: $i,SY5414: $i,SY5415: $i,SY5416: $i,SY5417: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV978 @ SY5413 @ SY5414 @ SY5415 @ SV172 @ SV392 @ SV789 )
              = ( c_Type_Oty_Oty__case @ SV978 @ SY5413 @ SY5416 @ SY5417 @ SV594 @ SV392 @ SV789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1692]) ).

thf(1903,plain,
    ! [SV979: $i,SV790: $i,SV595: $i,SV393: $i,SV173: $i] :
      ( ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV393 @ SV595 )
         != ( c_Expr_Oexp_OSeq @ SV790 @ SV979 @ SV595 ) )
        | ( SV393 = SV979 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1693]) ).

thf(1904,plain,
    ! [SV980: $i,SV791: $i,SV596: $i,SV394: $i,SV174: $i] :
      ( ( ! [SY5418: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV174 @ SV394 @ SV596 )
           != ( c_Expr_Oexp_OFAcc @ SV791 @ SV980 @ SY5418 @ SV596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1694]) ).

thf(1905,plain,
    ! [SV981: $i,SV792: $i,SV597: $i,SV395: $i,SV175: $i] :
      ( ( ! [SY5419: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV175 @ SV395 @ SV597 @ SV792 @ SV981 )
           != ( c_Expr_Oexp_Onew @ SY5419 @ SV981 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1695]) ).

thf(1906,plain,
    ! [SV982: $i,SV793: $i,SV598: $i,SV396: $i,SV176: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV176 @ SV396 @ SV598 )
       != ( c_Expr_Oexp_OCast @ SV793 @ SV982 @ SV598 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1696]) ).

thf(1907,plain,
    ! [SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ! [SY5420: $i,SY5421: $i,SY5422: $i,SY5423: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
             != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV983 @ SY5420 @ SY5421 @ SY5422 @ SV177 @ SV397 @ SV794 )
              = ( c_Type_Oty_Oty__case @ SY5423 @ SY5420 @ SY5421 @ SY5422 @ SV599 @ SV397 @ SV794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1697]) ).

thf(1908,plain,
    ! [SV984: $i,SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ! [SY5424: $i,SY5425: $i,SY5426: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
             != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SV984 @ SY5424 @ SY5425 @ SY5426 @ SV178 @ SV398 @ SV795 )
              = ( c_Type_Oty_Oty__case @ SV984 @ SY5424 @ SY5425 @ SY5426 @ SV600 @ SV398 @ SV795 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1698]) ).

thf(1909,plain,
    ! [SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ! [SY5427: $i,SY5428: $i,SY5429: $i,SY5430: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
             != ( c_Expr_Oexp_OFAss @ SY5427 @ SY5428 @ SY5429 @ SY5430 @ SV985 ) )
            | ( SV179 = SY5427 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1699]) ).

thf(1910,plain,
    ! [SV986: $i,SV797: $i,SV602: $i,SV400: $i,SV180: $i] :
      ( ( ! [SY5431: $i,SY5432: $i] :
            ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SV602 )
           != ( c_Expr_Oexp_OFAss @ SV797 @ SV986 @ SY5431 @ SY5432 @ SV602 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1700]) ).

thf(1911,plain,
    ! [SV987: $i,SV798: $i,SV603: $i,SV401: $i,SV181: $i] :
      ( ( ( ( c_Expr_Oexp_OCast @ SV181 @ SV401 @ SV603 )
         != ( c_Expr_Oexp_OCast @ SV798 @ SV987 @ SV603 ) )
        | ( SV401 = SV987 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1701]) ).

thf(1912,plain,
    ! [SV988: $i,SV799: $i,SV604: $i,SV402: $i,SV182: $i] :
      ( ( ! [SY5433: $i,SY5434: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SV799 )
             != ( c_Expr_Oexp_OFAcc @ SV988 @ SY5433 @ SY5434 @ SV799 ) )
            | ( SV604 = SY5434 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1702]) ).

thf(1913,plain,
    ! [SV989: $i,SV800: $i,SV605: $i,SV403: $i,SV183: $i] :
      ( ( ! [SY5435: $i] :
            ( ( ( c_Pair @ SV183 @ SV403 @ SV605 @ SV800 )
             != ( c_Pair @ SV989 @ SY5435 @ SV605 @ SV800 ) )
            | ( SV183 = SV989 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1703]) ).

thf(1914,plain,
    ! [SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY5436: $i,SY5437: $i,SY5438: $i,SY5439: $i,SY5440: $i,SY5441: $i,SY5442: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SY5436 @ SY5437 @ SY5438 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SY5439 @ SY5440 @ SY5441 @ SY5442 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1704]) ).

thf(1915,plain,
    ! [SV802: $i,SV607: $i,SV405: $i,SV186: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV186 @ SV405 )
        = ( c_Expr_Oexp_OSeq @ SV607 @ SV802 @ SV405 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1705]) ).

thf(1916,plain,
    ! [SV991: $i,SV803: $i,SV608: $i,SV406: $i,SV187: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV187 @ SV406 @ SV608 )
       != ( c_Expr_Oexp_OSeq @ SV803 @ SV991 @ SV608 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1706]) ).

thf(1917,plain,
    ! [SV992: $i,SV804: $i,SV609: $i,SV407: $i,SV188: $i] :
      ( ( ! [SY5443: $i] :
            ( ( c_Expr_Oexp_OCast @ SV188 @ SV407 @ SV609 )
           != ( c_Expr_Oexp_OFAcc @ SV804 @ SV992 @ SY5443 @ SV609 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1707]) ).

thf(1918,plain,
    ! [SV993: $i,SV805: $i,SV610: $i,SV408: $i,SV189: $i] :
      ( ( ! [SY5444: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV189 @ SV408 @ SV610 @ SV805 )
           != ( c_Expr_Oexp_OSeq @ SV993 @ SY5444 @ SV805 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1708]) ).

thf(1919,plain,
    ! [SV806: $i,SV611: $i,SV409: $i,SV190: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV190 @ SV409 @ SV611 )
        = ( c_Expr_Oexp_Onew @ SV806 @ SV611 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1709]) ).

thf(1920,plain,
    ! [SV994: $i,SV807: $i,SV612: $i,SV410: $i,SV191: $i] :
      ( ( ! [SY5445: $i,SY5446: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SV612 @ SV807 @ SV994 )
           != ( c_Expr_Oexp_OCast @ SY5445 @ SY5446 @ SV994 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1710]) ).

thf(1921,plain,
    ! [SV613: $i,SV411: $i,SV192: $i] :
      ( ( ( ( c_Expr_Oexp_Onew @ SV192 @ SV411 )
          = ( c_Expr_Oexp_Onew @ SV613 @ SV411 ) )
        = $false )
      | ( ( SV192 = SV613 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1711]) ).

thf(1922,plain,
    ! [SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY5447: $i,SY5448: $i,SY5449: $i,SY5450: $i,SY5451: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV995 @ SY5447 @ SY5448 @ SY5449 @ SV193 @ SV412 @ SV808 )
              = ( c_Type_Oty_Oty__case @ SV995 @ SY5450 @ SY5451 @ SY5449 @ SV614 @ SV412 @ SV808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1712]) ).

thf(1923,plain,
    ! [SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ! [SY5452: $i,SY5453: $i,SY5454: $i,SY5455: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
             != ( c_Expr_Oexp_OFAss @ SY5452 @ SY5453 @ SY5454 @ SY5455 @ SV996 ) )
            | ( SV413 = SY5453 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1713]) ).

thf(1924,plain,
    ! [SV997: $i,SV810: $i,SV616: $i,SV414: $i,SV195: $i] :
      ( ( ! [SY5456: $i] :
            ( ( c_Expr_Oexp_Onew @ SV195 @ SV414 )
           != ( c_Expr_Oexp_OFAss @ SV616 @ SV810 @ SV997 @ SY5456 @ SV414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1714]) ).

thf(1925,plain,
    ! [SV998: $i,SV811: $i,SV617: $i,SV415: $i,SV196: $i] :
      ( ( ! [SY5457: $i,SY5458: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SV811 )
             != ( c_Expr_Oexp_OFAcc @ SV998 @ SY5457 @ SY5458 @ SV811 ) )
            | ( SV415 = SY5457 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1715]) ).

thf(1926,plain,
    ! [SV999: $i,SV812: $i,SV618: $i,SV416: $i,SV197: $i] :
      ( ( ! [SY5459: $i,SY5460: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SV618 @ SV812 @ SV999 )
           != ( c_Expr_Oexp_OSeq @ SY5459 @ SY5460 @ SV999 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1716]) ).

thf(1927,plain,
    ! [SV1000: $i,SV813: $i,SV619: $i,SV417: $i,SV198: $i] :
      ( ( ! [SY5461: $i,SY5462: $i,SY5463: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SV813 )
           != ( c_Expr_Oexp_OFAss @ SV1000 @ SY5461 @ SY5462 @ SY5463 @ SV813 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1717]) ).

thf(1928,plain,
    ! [SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY5464: $i,SY5465: $i,SY5466: $i,SY5467: $i,SY5468: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1001 @ SY5464 @ SY5465 @ SY5466 @ SV199 @ SV418 @ SV814 )
              = ( c_Type_Oty_Oty__case @ SY5467 @ SY5464 @ SY5465 @ SY5468 @ SV620 @ SV418 @ SV814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1718]) ).

thf(1929,plain,
    ! [SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY5469: $i,SY5470: $i,SY5471: $i,SY5472: $i,SY5473: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1002 @ SY5469 @ SY5470 @ SY5471 @ SV200 @ SV419 @ SV815 )
              = ( c_Type_Oty_Oty__case @ SV1002 @ SY5472 @ SY5470 @ SY5473 @ SV621 @ SV419 @ SV815 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1719]) ).

thf(1930,plain,
    ! [SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ! [SY5474: $i,SY5475: $i,SY5476: $i,SY5477: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
             != ( c_Expr_Oexp_OFAss @ SY5474 @ SY5475 @ SY5476 @ SY5477 @ SV1003 ) )
            | ( SV816 = SY5477 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1720]) ).

thf(1931,plain,
    ! [SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ! [SY5478: $i,SY5479: $i,SY5480: $i,SY5481: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
             != ( c_Expr_Oexp_OFAss @ SY5478 @ SY5479 @ SY5480 @ SY5481 @ SV1004 ) )
            | ( SV623 = SY5480 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1721]) ).

thf(1932,plain,
    ! [SV1005: $i,SV818: $i,SV624: $i,SV422: $i,SV204: $i] :
      ( ( ( ( c_Expr_Oexp_OCast @ SV204 @ SV422 @ SV624 )
         != ( c_Expr_Oexp_OCast @ SV818 @ SV1005 @ SV624 ) )
        | ( SV204 = SV818 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1722]) ).

thf(1933,plain,
    ! [SV1006: $i,SV819: $i,SV625: $i,SV423: $i,SV206: $i] :
      ( ( ! [SY5482: $i,SY5483: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SV819 )
             != ( c_Expr_Oexp_OFAcc @ SV1006 @ SY5482 @ SY5483 @ SV819 ) )
            | ( SV206 = SV1006 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1723]) ).

thf(1934,plain,
    ! [SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY5484: $i,SY5485: $i,SY5486: $i,SY5487: $i,SY5488: $i,SY5489: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1007 @ SY5484 @ SY5485 @ SY5486 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SV1007 @ SY5487 @ SY5488 @ SY5489 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1724]) ).

thf(1935,plain,
    ! [SV1008: $i,SV821: $i,SV627: $i,SV425: $i,SV209: $i] :
      ( ( ! [SY5490: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV209 @ SV425 @ SV627 @ SV821 )
           != ( c_Expr_Oexp_OCast @ SV1008 @ SY5490 @ SV821 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1725]) ).

thf(1936,plain,
    ! [SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ! [SY5491: $i,SY5492: $i,SY5493: $i,SY5494: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
             != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1009 @ SY5491 @ SY5492 @ SY5493 @ SV211 @ SV426 @ SV822 )
              = ( c_Type_Oty_Oty__case @ SV1009 @ SY5494 @ SY5492 @ SY5493 @ SV628 @ SV426 @ SV822 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1726]) ).

thf(1937,plain,
    ! [SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY5495: $i,SY5496: $i,SY5497: $i,SY5498: $i,SY5499: $i,SY5500: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1010 @ SY5495 @ SY5496 @ SY5497 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SY5498 @ SY5499 @ SY5496 @ SY5500 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1727]) ).

thf(1938,plain,
    ! [SV824: $i,SV630: $i,SV429: $i,SV215: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV215 @ SV429 )
        = ( c_Expr_Oexp_OCast @ SV630 @ SV824 @ SV429 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1729]) ).

thf(1939,plain,
    ! [SV1011: $i,SV825: $i,SV631: $i,SV430: $i,SV216: $i] :
      ( ( ! [SY5501: $i,SY5502: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SV631 )
           != ( c_Expr_Oexp_OFAss @ SV825 @ SV1011 @ SY5501 @ SY5502 @ SV631 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1730]) ).

thf(1940,plain,
    ! [SV1012: $i,SV826: $i,SV632: $i,SV431: $i,SV217: $i] :
      ( ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SV431 @ SV632 )
         != ( c_Expr_Oexp_OSeq @ SV826 @ SV1012 @ SV632 ) )
        | ( SV217 = SV826 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1731]) ).

thf(1941,plain,
    ! [SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY5503: $i,SY5504: $i,SY5505: $i,SY5506: $i,SY5507: $i,SY5508: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1013 @ SY5503 @ SY5504 @ SY5505 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SY5506 @ SY5507 @ SY5508 @ SY5505 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1732]) ).

thf(1942,plain,
    ! [SV828: $i,SV634: $i,SV433: $i,SV219: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV219 @ SV433 @ SV634 )
        = ( c_Expr_Oexp_Onew @ SV828 @ SV634 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1733]) ).

thf(1943,plain,
    ! [SV1014: $i,SV829: $i,SV635: $i,SV434: $i,SV221: $i] :
      ( ( ! [SY5509: $i] :
            ( ( ( c_Pair @ SV221 @ SV434 @ SV635 @ SV829 )
             != ( c_Pair @ SV1014 @ SY5509 @ SV635 @ SV829 ) )
            | ( SV434 = SY5509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1734]) ).

thf(1944,plain,
    ! [SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY5510: $i,SY5511: $i,SY5512: $i,SY5513: $i,SY5514: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1015 @ SY5510 @ SY5511 @ SY5512 @ SV222 @ SV435 @ SV830 )
              = ( c_Type_Oty_Oty__case @ SY5513 @ SY5510 @ SY5514 @ SY5512 @ SV636 @ SV435 @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1735]) ).

thf(1945,plain,
    ! [SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY5515: $i,SY5516: $i,SY5517: $i,SY5518: $i,SY5519: $i,SY5520: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1016 @ SY5515 @ SY5516 @ SY5517 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SY5518 @ SY5515 @ SY5519 @ SY5520 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1736]) ).

thf(1946,plain,
    ! [SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ! [SY5521: $i,SY5522: $i,SY5523: $i,SY5524: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
             != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV1017 @ SY5521 @ SY5522 @ SY5523 @ SV224 @ SV437 @ SV832 )
              = ( c_Type_Oty_Oty__case @ SV1017 @ SY5521 @ SY5524 @ SY5523 @ SV638 @ SV437 @ SV832 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1737]) ).

thf(1947,plain,
    ! [SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY5525: $i,SY5526: $i,SY5527: $i,SY5528: $i,SY5529: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1018 @ SY5525 @ SY5526 @ SY5527 @ SV225 @ SV438 @ SV833 )
              = ( c_Type_Oty_Oty__case @ SY5528 @ SY5529 @ SY5526 @ SY5527 @ SV639 @ SV438 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1738]) ).

thf(1948,plain,
    ! [SV1019: $i,SV834: $i,SV640: $i,SV439: $i,SV226: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV226 @ SV439 @ SV640 @ SV834 )
       != ( c_Expr_Oexp_Onew @ SV1019 @ SV834 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1739]) ).

thf(1949,plain,
    ! [SV1020: $i,SV835: $i,SV641: $i,SV440: $i,SV227: $i,SV1: $i] :
      ( ( ! [SY5530: $i,SY5531: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SY5530 @ SY5531 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SY5530 @ SY5531 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SY5530 @ SV641 @ ( c_Expr_Oexp_OFAss @ SV1020 @ SV835 @ SV440 @ SY5531 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1740]) ).

thf(1950,plain,
    ! [SV1021: $i,SV836: $i,SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ! [SY5532: $i,SY5533: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SY5532 ) @ SV1021 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SY5532 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SV1021 @ SV836 @ SY5532 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5533 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1741]) ).

thf(1951,plain,
    ! [SV1022: $i,SV837: $i,SV643: $i,SV442: $i,SV229: $i,SV3: $i] :
      ( ( ( c_WellType_OWT @ SV3 @ SV229 @ SV442 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV643 @ SV229 @ SV837 @ SV3 @ SV1022 @ SV442 ) ) )
        | ~ ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SV442 @ SV837 @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1022 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1742]) ).

thf(1952,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1744]) ).

thf(1953,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1746]) ).

thf(1954,plain,
    ! [SV1023: $i,SV838: $i,SV644: $i,SV443: $i,SV232: $i,SV8: $i] :
      ( ( ! [SY5534: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV838 @ SV443 @ SV1023 @ SV8 @ SY5534 @ SV644 @ SV232 ) @ SV1023 @ SY5534 @ SV838 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SV1023 @ SV838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5534 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1747]) ).

thf(1955,plain,
    ! [SV1024: $i,SV839: $i,SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ! [SY5535: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV839 @ SV444 @ SV1024 @ SV9 @ SY5535 @ SV645 @ SV233 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SV1024 @ SV839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5535 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1748]) ).

thf(1956,plain,
    ! [SV1025: $i,SV840: $i,SV646: $i,SV445: $i,SV234: $i,SV10: $i] :
      ( ( ! [SY5536: $i,SY5537: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1025 @ SV646 @ SY5536 @ SV234 @ SV840 @ SV445 @ SY5537 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SY5536 @ SV1025 @ SY5537 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1749]) ).

thf(1957,plain,
    ! [SV1026: $i,SV841: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ! [SY5538: $i,SY5539: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SV1026 @ SV11 @ SV647 @ SV235 @ SY5538 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SV1026 @ SV841 @ SY5538 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5539 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1750]) ).

thf(1958,plain,
    ! [SV1027: $i,SV842: $i,SV648: $i,SV447: $i,SV236: $i,SV12: $i] :
      ( ( ! [SY5540: $i] :
            ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1027 )
            | ~ ( c_TypeRel_Osees__field @ SV12 @ SY5540 @ SV648 @ SV1027 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SY5540 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1751]) ).

thf(1959,plain,
    ! [SV1028: $i,SV843: $i,SV649: $i,SV448: $i,SV237: $i,SV13: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SV448 @ SV649 @ SV237 @ SV843 )
        | ~ ( c_TypeRel_Osees__field @ SV13 @ SV1028 @ SV448 @ SV649 @ SV237 @ SV843 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1752]) ).

thf(1960,plain,
    ! [SV1029: $i,SV844: $i,SV650: $i,SV449: $i,SV238: $i,SV14: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SV1029 )
        | ~ ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SV1029 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1753]) ).

thf(1961,plain,
    ! [SV1030: $i,SV845: $i,SV651: $i,SV450: $i,SV239: $i,SV15: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SV450 @ SV651 @ SV15 @ SV845 @ SV1030 ) @ SV651 @ SV845 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellType_OWT @ SV15 @ SV450 @ ( c_Expr_Oexp_OFAcc @ SV1030 @ SV651 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV845 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1754]) ).

thf(1962,plain,
    ! [SV1031: $i,SV846: $i,SV652: $i,SV451: $i,SV240: $i,SV16: $i] :
      ( ( ! [SY5541: $i,SY5542: $i] :
            ( ( SV16 = SV240 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SY5541 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SY5542 @ SY5541 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1755]) ).

thf(1963,plain,
    ! [SV1032: $i,SV847: $i,SV653: $i,SV452: $i,SV241: $i,SV17: $i] :
      ( ( ! [SY5543: $i,SY5544: $i] :
            ( ( SV17 = SV241 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SY5543 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SY5544 @ SV241 @ SY5543 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1756]) ).

thf(1964,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1757]) ).

thf(1965,plain,
    ! [SV1033: $i,SV848: $i,SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ! [SY5545: $i,SY5546: $i,SY5547: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SY5545 @ SY5546 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SY5545 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY5547 @ SV654 @ SY5546 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SY5547 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1758]) ).

thf(1966,plain,
    ! [SV1034: $i,SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV20: $i] :
      ( ( ! [SY5548: $i] :
            ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SY5548 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SY5548 ) ) ) )
            | ( SY5548 = c_Type_Oty_ONT )
            | ( SY5548 = c_Type_Oty_OInteger )
            | ( SY5548 = c_Type_Oty_OBoolean )
            | ( SY5548 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1759]) ).

thf(1967,plain,
    ! [SV1035: $i,SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV21: $i] :
      ( ( ! [SY5549: $i] :
            ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SY5549 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SY5549 ) ) ) )
            | ( SY5549 = c_Type_Oty_ONT )
            | ( SY5549 = c_Type_Oty_OInteger )
            | ( SY5549 = c_Type_Oty_OBoolean )
            | ( SY5549 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1760]) ).

thf(1968,plain,
    ! [SV1036: $i,SV851: $i,SV657: $i,SV456: $i,SV246: $i,SV22: $i] :
      ( ( ! [SY5550: $i] :
            ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SY5550 @ t_a ) ) )
            | ( SY5550
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SY5550 ) ) )
            | ( SY5550 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
            | ( SY5550 = c_Type_Oty_OBoolean )
            | ( SY5550 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1761]) ).

thf(1969,plain,
    ! [SV1037: $i,SV852: $i,SV658: $i,SV457: $i,SV247: $i,SV23: $i] :
      ( ( ! [SY5551: $i] :
            ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SY5551 @ t_a ) ) )
            | ( SY5551
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SY5551 ) ) )
            | ( SY5551 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
            | ( SY5551 = c_Type_Oty_OBoolean )
            | ( SY5551 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1762]) ).

thf(1970,plain,
    ! [SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY5552: $i,SY5553: $i,SY5554: $i,SY5555: $i,SY5556: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SY5552 )
              = ( c_Type_Oty_Oty__case @ SY5553 @ SY5554 @ SV659 @ SY5555 @ SY5556 @ SV24 @ SY5552 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SY5556 @ SY5552 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1763]) ).

thf(1971,plain,
    ! [SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY5557: $i,SY5558: $i,SY5559: $i,SY5560: $i,SY5561: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SY5557 )
              = ( c_Type_Oty_Oty__case @ SY5558 @ SY5559 @ SY5560 @ SV854 @ SY5561 @ SV25 @ SY5557 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SY5561 @ SY5557 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1764]) ).

thf(1972,plain,
    ! [SV1040: $i,SV855: $i,SV661: $i,SV460: $i,SV250: $i,SV26: $i] :
      ( ( ! [SY5562: $i] :
            ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SY5562 @ t_a ) ) )
            | ( SY5562
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SY5562 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
            | ( SY5562 = c_Type_Oty_OInteger )
            | ( SY5562 = c_Type_Oty_OBoolean )
            | ( SY5562 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1765]) ).

thf(1973,plain,
    ! [SV1041: $i,SV856: $i,SV662: $i,SV461: $i,SV251: $i,SV27: $i] :
      ( ( ! [SY5563: $i] :
            ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SY5563 @ t_a ) ) )
            | ( SY5563
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SY5563 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
            | ( SY5563 = c_Type_Oty_OInteger )
            | ( SY5563 = c_Type_Oty_OBoolean )
            | ( SY5563 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1766]) ).

thf(1974,plain,
    ! [SV1042: $i,SV857: $i,SV663: $i,SV462: $i,SV252: $i,SV28: $i] :
      ( ( ! [SY5564: $i] :
            ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SY5564 @ t_a ) ) )
            | ( SY5564
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SY5564 ) ) )
            | ( SY5564 = c_Type_Oty_ONT )
            | ( SY5564 = c_Type_Oty_OInteger )
            | ( SY5564 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1767]) ).

thf(1975,plain,
    ! [SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY5565: $i,SY5566: $i,SY5567: $i,SY5568: $i,SY5569: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SY5565 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY5566 @ SY5567 @ SY5568 @ SY5569 @ SV1043 @ SY5565 ) )
            | ( SV1043
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SY5569 @ SY5565 ) ) )
            | ( SV1043 = c_Type_Oty_ONT )
            | ( SV1043 = c_Type_Oty_OInteger )
            | ( SV1043 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1768]) ).

thf(1976,plain,
    ! [SV1044: $i,SV859: $i,SV665: $i,SV464: $i,SV254: $i,SV30: $i] :
      ( ( ! [SY5570: $i] :
            ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SY5570 @ t_a ) ) )
            | ( SY5570
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SY5570 ) ) )
            | ( SY5570 = c_Type_Oty_ONT )
            | ( SY5570 = c_Type_Oty_OInteger )
            | ( SY5570 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1769]) ).

thf(1977,plain,
    ! [SV1045: $i,SV860: $i,SV666: $i,SV465: $i,SV255: $i,SV31: $i] :
      ( ( ! [SY5571: $i] :
            ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SY5571 @ t_a ) ) )
            | ( SY5571
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SY5571 ) ) )
            | ( SY5571 = c_Type_Oty_ONT )
            | ( SY5571 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
            | ( SY5571 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1770]) ).

thf(1978,plain,
    ! [SV1046: $i,SV861: $i,SV667: $i,SV466: $i,SV256: $i,SV32: $i] :
      ( ( ! [SY5572: $i] :
            ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SY5572 @ t_a ) ) )
            | ( SY5572
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SY5572 ) ) )
            | ( SY5572 = c_Type_Oty_ONT )
            | ( SY5572 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
            | ( SY5572 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1771]) ).

thf(1979,plain,
    ! [SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY5573: $i,SY5574: $i,SY5575: $i,SY5576: $i,SY5577: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SY5573 )
              = ( c_Type_Oty_Oty__case @ SY5574 @ SV467 @ SY5575 @ SY5576 @ SY5577 @ SV33 @ SY5573 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SY5577 @ SY5573 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1772]) ).

thf(1980,plain,
    ! [SV1048: $i,SV863: $i,SV669: $i,SV468: $i,SV258: $i,SV34: $i] :
      ( ( ! [SY5578: $i] :
            ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SY5578 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SY5578 ) ) ) )
            | ( SY5578 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
            | ( SY5578 = c_Type_Oty_OBoolean )
            | ( SY5578 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1773]) ).

thf(1981,plain,
    ! [SV1049: $i,SV864: $i,SV670: $i,SV469: $i,SV259: $i,SV35: $i] :
      ( ( ! [SY5579: $i] :
            ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SY5579 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SY5579 ) ) ) )
            | ( SY5579 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
            | ( SY5579 = c_Type_Oty_OBoolean )
            | ( SY5579 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1774]) ).

thf(1982,plain,
    ! [SV1050: $i,SV865: $i,SV671: $i,SV470: $i,SV260: $i,SV36: $i] :
      ( ( ! [SY5580: $i] :
            ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SY5580 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SY5580 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
            | ( SY5580 = c_Type_Oty_OInteger )
            | ( SY5580 = c_Type_Oty_OBoolean )
            | ( SY5580 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1775]) ).

thf(1983,plain,
    ! [SV1051: $i,SV866: $i,SV672: $i,SV471: $i,SV261: $i,SV37: $i] :
      ( ( ! [SY5581: $i] :
            ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SY5581 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SY5581 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
            | ( SY5581 = c_Type_Oty_OInteger )
            | ( SY5581 = c_Type_Oty_OBoolean )
            | ( SY5581 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1776]) ).

thf(1984,plain,
    ! [SV1052: $i,SV867: $i,SV673: $i,SV472: $i,SV262: $i,SV38: $i] :
      ( ( ! [SY5582: $i] :
            ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SY5582 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SY5582 ) ) ) )
            | ( SY5582 = c_Type_Oty_ONT )
            | ( SY5582 = c_Type_Oty_OInteger )
            | ( SY5582 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1777]) ).

thf(1985,plain,
    ! [SV1053: $i,SV868: $i,SV674: $i,SV473: $i,SV263: $i,SV39: $i] :
      ( ( ! [SY5583: $i] :
            ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SY5583 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SY5583 ) ) ) )
            | ( SY5583 = c_Type_Oty_ONT )
            | ( SY5583 = c_Type_Oty_OInteger )
            | ( SY5583 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1778]) ).

thf(1986,plain,
    ! [SV1054: $i,SV869: $i,SV675: $i,SV474: $i,SV264: $i,SV40: $i] :
      ( ( ! [SY5584: $i] :
            ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SY5584 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SY5584 ) ) ) )
            | ( SY5584 = c_Type_Oty_ONT )
            | ( SY5584 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
            | ( SY5584 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1779]) ).

thf(1987,plain,
    ! [SV1055: $i,SV870: $i,SV676: $i,SV475: $i,SV265: $i,SV41: $i] :
      ( ( ! [SY5585: $i] :
            ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SY5585 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SY5585 ) ) ) )
            | ( SY5585 = c_Type_Oty_ONT )
            | ( SY5585 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
            | ( SY5585 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1780]) ).

thf(1988,plain,
    ! [SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY5586: $i,SY5587: $i,SY5588: $i,SY5589: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SY5586 )
              = ( c_Type_Oty_Oty__case @ SY5587 @ SY5588 @ SV677 @ SV871 @ SY5589 @ SV42 @ SY5586 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SY5589 @ SY5586 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1781]) ).

thf(1989,plain,
    ! [SV1057: $i,SV872: $i,SV678: $i,SV477: $i,SV267: $i,SV43: $i] :
      ( ( ! [SY5590: $i] :
            ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SY5590 @ t_a ) ) )
            | ( SY5590
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SY5590 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
            | ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
            | ( SY5590 = c_Type_Oty_OBoolean )
            | ( SY5590 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1782]) ).

thf(1990,plain,
    ! [SV1058: $i,SV873: $i,SV679: $i,SV478: $i,SV268: $i,SV44: $i] :
      ( ( ! [SY5591: $i] :
            ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SY5591 @ t_a ) ) )
            | ( SY5591
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SY5591 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
            | ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
            | ( SY5591 = c_Type_Oty_OBoolean )
            | ( SY5591 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1783]) ).

thf(1991,plain,
    ! [SV1059: $i,SV874: $i,SV680: $i,SV479: $i,SV269: $i,SV45: $i] :
      ( ( ! [SY5592: $i] :
            ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SY5592 @ t_a ) ) )
            | ( SY5592
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SY5592 ) ) )
            | ( SY5592 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
            | ( SY5592 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1784]) ).

thf(1992,plain,
    ! [SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY5593: $i,SY5594: $i,SY5595: $i,SY5596: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SY5593 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SY5594 @ SV681 @ SY5595 @ SY5596 @ SV46 @ SY5593 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SY5596 @ SY5593 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1785]) ).

thf(1993,plain,
    ! [SV1061: $i,SV876: $i,SV682: $i,SV481: $i,SV271: $i,SV47: $i] :
      ( ( ! [SY5597: $i] :
            ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SY5597 @ t_a ) ) )
            | ( SY5597
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SY5597 ) ) )
            | ( SY5597 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
            | ( SY5597 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1786]) ).

thf(1994,plain,
    ! [SV1062: $i,SV877: $i,SV683: $i,SV482: $i,SV272: $i,SV48: $i] :
      ( ( ! [SY5598: $i] :
            ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SY5598 @ t_a ) ) )
            | ( SY5598
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SY5598 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
            | ( SY5598 = c_Type_Oty_OInteger )
            | ( SY5598 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1787]) ).

thf(1995,plain,
    ! [SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY5599: $i,SY5600: $i,SY5601: $i,SY5602: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SY5599 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SY5600 @ SY5601 @ SV878 @ SY5602 @ SV49 @ SY5599 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SY5602 @ SY5599 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1788]) ).

thf(1996,plain,
    ! [SV1064: $i,SV879: $i,SV685: $i,SV484: $i,SV274: $i,SV50: $i] :
      ( ( ! [SY5603: $i] :
            ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SY5603 @ t_a ) ) )
            | ( SY5603
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SY5603 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
            | ( SY5603 = c_Type_Oty_OInteger )
            | ( SY5603 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1789]) ).

thf(1997,plain,
    ! [SV1065: $i,SV880: $i,SV686: $i,SV485: $i,SV275: $i,SV51: $i] :
      ( ( ! [SY5604: $i] :
            ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SY5604 @ t_a ) ) )
            | ( SY5604
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SY5604 ) ) )
            | ( SY5604 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
            | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
            | ( SY5604 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1790]) ).

thf(1998,plain,
    ! [SV1066: $i,SV881: $i,SV687: $i,SV486: $i,SV276: $i,SV52: $i] :
      ( ( ! [SY5605: $i] :
            ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SY5605 @ t_a ) ) )
            | ( SY5605
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SY5605 ) ) )
            | ( SY5605 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
            | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
            | ( SY5605 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1791]) ).

thf(1999,plain,
    ! [SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY5606: $i,SY5607: $i,SY5608: $i,SY5609: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SY5606 )
              = ( c_Type_Oty_Oty__case @ SY5607 @ SV487 @ SV688 @ SY5608 @ SY5609 @ SV53 @ SY5606 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SY5609 @ SY5606 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1792]) ).

thf(2000,plain,
    ! [SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY5610: $i,SY5611: $i,SY5612: $i,SY5613: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SY5610 )
              = ( c_Type_Oty_Oty__case @ SY5611 @ SV488 @ SY5612 @ SV883 @ SY5613 @ SV54 @ SY5610 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SY5613 @ SY5610 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1793]) ).

thf(2001,plain,
    ! [SV1069: $i,SV884: $i,SV690: $i,SV489: $i,SV279: $i,SV55: $i] :
      ( ( ! [SY5614: $i] :
            ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SY5614 @ t_a ) ) )
            | ( SY5614
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SY5614 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
            | ( SY5614 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
            | ( SY5614 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1794]) ).

thf(2002,plain,
    ! [SV1070: $i,SV885: $i,SV691: $i,SV490: $i,SV280: $i,SV56: $i] :
      ( ( ! [SY5615: $i] :
            ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SY5615 @ t_a ) ) )
            | ( SY5615
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SY5615 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
            | ( SY5615 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
            | ( SY5615 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1795]) ).

thf(2003,plain,
    ! [SV1071: $i,SV886: $i,SV692: $i,SV491: $i,SV281: $i,SV57: $i] :
      ( ( ! [SY5616: $i] :
            ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SY5616 @ t_a ) ) )
            | ( SY5616
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SY5616 ) ) )
            | ( SY5616 = c_Type_Oty_ONT )
            | ( SY5616 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
            | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1796]) ).

thf(2004,plain,
    ! [SV1072: $i,SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY5617: $i,SY5618: $i,SY5619: $i,SY5620: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SY5617 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY5618 @ SY5619 @ SY5620 @ SV1072 @ SY5617 ) )
            | ( SV1072
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SY5620 @ SY5617 ) ) )
            | ( SV1072 = c_Type_Oty_ONT )
            | ( SV1072 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1797]) ).

thf(2005,plain,
    ! [SV1073: $i,SV888: $i,SV694: $i,SV493: $i,SV283: $i,SV59: $i] :
      ( ( ! [SY5621: $i] :
            ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SY5621 @ t_a ) ) )
            | ( SY5621
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SY5621 ) ) )
            | ( SY5621 = c_Type_Oty_ONT )
            | ( SY5621 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
            | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1798]) ).

thf(2006,plain,
    ! [SV1074: $i,SV889: $i,SV695: $i,SV494: $i,SV284: $i,SV60: $i] :
      ( ( ! [SY5622: $i] :
            ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SY5622 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SY5622 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
            | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
            | ( SY5622 = c_Type_Oty_OBoolean )
            | ( SY5622 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1799]) ).

thf(2007,plain,
    ! [SV1075: $i,SV890: $i,SV696: $i,SV495: $i,SV285: $i,SV61: $i] :
      ( ( ! [SY5623: $i] :
            ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SY5623 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SY5623 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
            | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
            | ( SY5623 = c_Type_Oty_OBoolean )
            | ( SY5623 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1800]) ).

thf(2008,plain,
    ! [SV1076: $i,SV891: $i,SV697: $i,SV496: $i,SV286: $i,SV62: $i] :
      ( ( ! [SY5624: $i] :
            ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SY5624 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SY5624 ) ) ) )
            | ( SY5624 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
            | ( SY5624 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1801]) ).

thf(2009,plain,
    ! [SV1077: $i,SV892: $i,SV698: $i,SV497: $i,SV287: $i,SV63: $i] :
      ( ( ! [SY5625: $i] :
            ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SY5625 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SY5625 ) ) ) )
            | ( SY5625 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
            | ( SY5625 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1802]) ).

thf(2010,plain,
    ! [SV1078: $i,SV893: $i,SV699: $i,SV498: $i,SV288: $i,SV64: $i] :
      ( ( ! [SY5626: $i] :
            ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SY5626 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SY5626 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
            | ( SY5626 = c_Type_Oty_OInteger )
            | ( SY5626 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1803]) ).

thf(2011,plain,
    ! [SV1079: $i,SV894: $i,SV700: $i,SV499: $i,SV289: $i,SV65: $i] :
      ( ( ! [SY5627: $i] :
            ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SY5627 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SY5627 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
            | ( SY5627 = c_Type_Oty_OInteger )
            | ( SY5627 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1804]) ).

thf(2012,plain,
    ! [SV1080: $i,SV895: $i,SV701: $i,SV500: $i,SV290: $i,SV66: $i] :
      ( ( ! [SY5628: $i] :
            ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SY5628 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SY5628 ) ) ) )
            | ( SY5628 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
            | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
            | ( SY5628 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1805]) ).

thf(2013,plain,
    ! [SV1081: $i,SV896: $i,SV702: $i,SV501: $i,SV291: $i,SV67: $i] :
      ( ( ! [SY5629: $i] :
            ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SY5629 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SY5629 ) ) ) )
            | ( SY5629 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
            | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
            | ( SY5629 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1806]) ).

thf(2014,plain,
    ! [SV1082: $i,SV897: $i,SV703: $i,SV502: $i,SV292: $i,SV68: $i] :
      ( ( ! [SY5630: $i] :
            ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SY5630 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SY5630 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
            | ( SY5630 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
            | ( SY5630 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1807]) ).

thf(2015,plain,
    ! [SV1083: $i,SV898: $i,SV704: $i,SV503: $i,SV293: $i,SV69: $i] :
      ( ( ! [SY5631: $i] :
            ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SY5631 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SY5631 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
            | ( SY5631 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
            | ( SY5631 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1808]) ).

thf(2016,plain,
    ! [SV1084: $i,SV899: $i,SV705: $i,SV504: $i,SV294: $i,SV70: $i] :
      ( ( ! [SY5632: $i] :
            ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SY5632 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SY5632 ) ) ) )
            | ( SY5632 = c_Type_Oty_ONT )
            | ( SY5632 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
            | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1809]) ).

thf(2017,plain,
    ! [SV1085: $i,SV900: $i,SV706: $i,SV505: $i,SV295: $i,SV71: $i] :
      ( ( ! [SY5633: $i] :
            ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SY5633 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SY5633 ) ) ) )
            | ( SY5633 = c_Type_Oty_ONT )
            | ( SY5633 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
            | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1810]) ).

thf(2018,plain,
    ! [SV1086: $i,SV901: $i,SV707: $i,SV506: $i,SV296: $i,SV72: $i] :
      ( ( ! [SY5634: $i] :
            ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SY5634 @ t_a ) ) )
            | ( SY5634
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SY5634 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
            | ( SY5634 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1811]) ).

thf(2019,plain,
    ! [SV1087: $i,SV902: $i,SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ! [SY5635: $i,SY5636: $i,SY5637: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SV1087 @ SV73 @ SY5635 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SY5636 @ SV708 @ SV902 @ SY5637 @ SV73 @ SY5635 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SV1087 @ SY5637 @ SY5635 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1812]) ).

thf(2020,plain,
    ! [SV1088: $i,SV903: $i,SV709: $i,SV508: $i,SV298: $i,SV74: $i] :
      ( ( ! [SY5638: $i] :
            ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SY5638 @ t_a ) ) )
            | ( SY5638
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SY5638 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
            | ( SY5638 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1813]) ).

thf(2021,plain,
    ! [SV1089: $i,SV904: $i,SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ! [SY5639: $i,SY5640: $i,SY5641: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SV1089 @ SV75 @ SY5639 )
              = ( c_Type_Oty_Oty__case @ SY5640 @ SV509 @ SV710 @ SV904 @ SY5641 @ SV75 @ SY5639 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SV1089 @ SY5641 @ SY5639 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1814]) ).

thf(2022,plain,
    ! [SV1090: $i,SV905: $i,SV711: $i,SV510: $i,SV300: $i,SV76: $i] :
      ( ( ! [SY5642: $i] :
            ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SY5642 @ t_a ) ) )
            | ( SY5642
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SY5642 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
            | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
            | ( SY5642 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1815]) ).

thf(2023,plain,
    ! [SV1091: $i,SV906: $i,SV712: $i,SV511: $i,SV301: $i,SV77: $i] :
      ( ( ! [SY5643: $i] :
            ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SY5643 @ t_a ) ) )
            | ( SY5643
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SY5643 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
            | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
            | ( SY5643 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1816]) ).

thf(2024,plain,
    ! [SV1092: $i,SV907: $i,SV713: $i,SV512: $i,SV302: $i,SV78: $i] :
      ( ( ! [SY5644: $i] :
            ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SY5644 @ t_a ) ) )
            | ( SY5644
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SY5644 ) ) )
            | ( SY5644 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
            | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1817]) ).

thf(2025,plain,
    ! [SV1093: $i,SV908: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ! [SY5645: $i,SY5646: $i,SY5647: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SV1093 @ SY5645 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SY5646 @ SY5647 @ SV1093 @ SY5645 ) )
            | ( SV1093
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1093 @ SV908 @ SY5647 @ SY5645 ) ) )
            | ( SV1093 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1818]) ).

thf(2026,plain,
    ! [SV1094: $i,SV909: $i,SV715: $i,SV514: $i,SV304: $i,SV80: $i] :
      ( ( ! [SY5648: $i] :
            ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SY5648 @ t_a ) ) )
            | ( SY5648
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SY5648 ) ) )
            | ( SY5648 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
            | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1819]) ).

thf(2027,plain,
    ! [SV1095: $i,SV910: $i,SV716: $i,SV515: $i,SV305: $i,SV81: $i] :
      ( ( ! [SY5649: $i] :
            ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SY5649 @ t_a ) ) )
            | ( SY5649
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SY5649 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
            | ( SY5649 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
            | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1820]) ).

thf(2028,plain,
    ! [SV1096: $i,SV911: $i,SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ! [SY5650: $i,SY5651: $i,SY5652: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SV1096 @ SV82 @ SY5650 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SY5651 @ SV911 @ SY5652 @ SV82 @ SY5650 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SV1096 @ SY5652 @ SY5650 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1821]) ).

thf(2029,plain,
    ! [SV1097: $i,SV912: $i,SV718: $i,SV517: $i,SV307: $i,SV83: $i] :
      ( ( ! [SY5653: $i] :
            ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SY5653 @ t_a ) ) )
            | ( SY5653
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SY5653 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
            | ( SY5653 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
            | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1822]) ).

thf(2030,plain,
    ! [SV1098: $i,SV913: $i,SV719: $i,SV518: $i,SV308: $i,SV84: $i] :
      ( ( ! [SY5654: $i] :
            ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SY5654 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SY5654 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
            | ( SY5654 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1823]) ).

thf(2031,plain,
    ! [SV1099: $i,SV914: $i,SV720: $i,SV519: $i,SV309: $i,SV85: $i] :
      ( ( ! [SY5655: $i] :
            ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SY5655 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SY5655 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
            | ( SY5655 = c_Type_Oty_OBoolean )
            | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1824]) ).

thf(2032,plain,
    ! [SV1100: $i,SV915: $i,SV721: $i,SV520: $i,SV310: $i,SV86: $i] :
      ( ( ! [SY5656: $i] :
            ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SY5656 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SY5656 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
            | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
            | ( SY5656 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1825]) ).

thf(2033,plain,
    ! [SV1101: $i,SV916: $i,SV722: $i,SV521: $i,SV311: $i,SV87: $i] :
      ( ( ! [SY5657: $i] :
            ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SY5657 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SY5657 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
            | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
            | ( SY5657 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1826]) ).

thf(2034,plain,
    ! [SV1102: $i,SV917: $i,SV723: $i,SV522: $i,SV312: $i,SV88: $i] :
      ( ( ! [SY5658: $i] :
            ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SY5658 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SY5658 ) ) ) )
            | ( SY5658 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
            | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1827]) ).

thf(2035,plain,
    ! [SV1103: $i,SV918: $i,SV724: $i,SV523: $i,SV313: $i,SV89: $i] :
      ( ( ! [SY5659: $i] :
            ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SY5659 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SY5659 ) ) ) )
            | ( SY5659 = c_Type_Oty_ONT )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
            | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1828]) ).

thf(2036,plain,
    ! [SV1104: $i,SV919: $i,SV725: $i,SV524: $i,SV314: $i,SV90: $i] :
      ( ( ! [SY5660: $i] :
            ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SY5660 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SY5660 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
            | ( SY5660 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
            | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1829]) ).

thf(2037,plain,
    ! [SV1105: $i,SV920: $i,SV726: $i,SV525: $i,SV315: $i,SV91: $i] :
      ( ( ! [SY5661: $i] :
            ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SY5661 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SY5661 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
            | ( SY5661 = c_Type_Oty_OInteger )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
            | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1830]) ).

thf(2038,plain,
    ! [SV1106: $i,SV921: $i,SV727: $i,SV527: $i,SV317: $i,SV93: $i] :
      ( ( ! [SY5662: $i] :
            ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SY5662 @ t_a ) ) )
            | ( SY5662
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SY5662 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
            | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1831]) ).

thf(2039,plain,
    ! [SV1107: $i,SV922: $i,SV728: $i,SV528: $i,SV318: $i,SV94: $i] :
      ( ( ! [SY5663: $i,SY5664: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV922 @ SV1107 @ SY5663 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SY5664 @ SV1107 @ SY5663 ) )
            | ( SV1107
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1107 @ SV922 @ SY5664 @ SY5663 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1832]) ).

thf(2040,plain,
    ! [SV1108: $i,SV923: $i,SV729: $i,SV529: $i,SV319: $i,SV95: $i] :
      ( ( ! [SY5665: $i] :
            ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SY5665 @ t_a ) ) )
            | ( SY5665
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SY5665 ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
            | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1833]) ).

thf(2041,plain,
    ! [SV1109: $i,SV924: $i,SV730: $i,SV530: $i,SV320: $i,SV96: $i] :
      ( ( ! [SY5666: $i] :
            ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SY5666 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SY5666 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
            | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1834]) ).

thf(2042,plain,
    ! [SV1110: $i,SV925: $i,SV731: $i,SV531: $i,SV321: $i,SV97: $i] :
      ( ( ! [SY5667: $i] :
            ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SY5667 @ t_a ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SY5667 ) ) ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
            | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1835]) ).

thf(2043,plain,
    ! [SV926: $i,SV732: $i,SV533: $i,SV323: $i,SV99: $i] :
      ( ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SV732 )
        = $true )
      | ( ( ~ ( c_TypeRel_Owiden @ SV99 @ SV926 @ SV533 @ SV732 )
          | ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV926 @ SV732 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1836]) ).

thf(2044,plain,
    ! [SV1111: $i,SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY5668: $i,SY5669: $i,SY5670: $i,SY5671: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SY5668 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY5669 @ SY5670 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SY5668 @ SY5669 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY5671 @ SV927 @ SY5670 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SY5671 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1837]) ).

thf(2045,plain,
    ! [SV1112: $i,SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY5672: $i,SY5673: $i,SY5674: $i,SY5675: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SY5672 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY5673 @ SY5674 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SY5672 @ SY5673 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY5675 @ SV928 @ SY5674 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SY5675 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1838]) ).

thf(2046,plain,
    ! [SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY5676: $i,SY5677: $i,SY5678: $i,SY5679: $i,SY5680: $i,SY5681: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SY5676 )
              = ( c_Type_Oty_Oty__case @ SY5677 @ SY5678 @ SY5679 @ SY5680 @ SY5681 @ SV1113 @ SY5676 ) )
            | ( SV1113
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SY5681 @ SY5676 ) ) )
            | ( SV1113 = c_Type_Oty_ONT )
            | ( SV1113 = c_Type_Oty_OInteger )
            | ( SV1113 = c_Type_Oty_OBoolean )
            | ( SV1113 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1839]) ).

thf(2047,plain,
    ! [SV1114: $i,SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV103: $i] :
      ( ( ! [SY5682: $i] :
            ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SY5682 @ t_a ) ) )
            | ( SY5682
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SY5682 ) ) )
            | ( SY5682 = c_Type_Oty_ONT )
            | ( SY5682 = c_Type_Oty_OInteger )
            | ( SY5682 = c_Type_Oty_OBoolean )
            | ( SY5682 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1840]) ).

thf(2048,plain,
    ! [SV1115: $i,SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV104: $i] :
      ( ( ! [SY5683: $i] :
            ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SY5683 @ t_a ) ) )
            | ( SY5683
              = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SY5683 ) ) )
            | ( SY5683 = c_Type_Oty_ONT )
            | ( SY5683 = c_Type_Oty_OInteger )
            | ( SY5683 = c_Type_Oty_OBoolean )
            | ( SY5683 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1841]) ).

thf(2049,plain,
    ! [SV329: $i,SV105: $i] :
      ( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV105 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV105 @ v_ea____ @ SV329 )
        = $false )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ SV105 @ v_P @ SV329 @ v_e_Ha____ @ v_h_Ha____ ) @ SV329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1842]) ).

thf(2050,plain,
    ! [SV330: $i,SV106: $i] :
      ( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV106 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV106 @ v_ea____ @ SV330 )
        = $false )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV106 @ v_P @ SV330 @ v_e_Ha____ @ v_h_Ha____ ) @ SV330 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1843]) ).

thf(2051,plain,
    ! [SV331: $i,SV107: $i] :
      ( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV107 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV107 @ v_ea____ @ SV331 )
        = $false )
      | ( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ SV107 @ v_P @ SV331 @ v_e_Ha____ @ v_h_Ha____ ) @ SV331 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1844]) ).

thf(2052,plain,
    ! [SV1116: $i,SV932: $i,SV738: $i,SV539: $i,SV332: $i,SV109: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SV539 @ SV738 @ SV932 @ SV1116 @ c_Type_Oty_OVoid @ t_a ) ) )
        | ( hBOOL @ ( hAPP @ SV109 @ SV332 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1845]) ).

thf(2053,plain,
    ! [SV1117: $i,SV933: $i,SV739: $i,SV540: $i,SV333: $i,SV110: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SV540 @ SV739 @ SV933 @ SV1117 @ c_Type_Oty_OBoolean @ t_a ) ) )
        | ( hBOOL @ ( hAPP @ SV110 @ SV540 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1846]) ).

thf(2054,plain,
    ! [SV1118: $i,SV934: $i,SV740: $i,SV541: $i,SV334: $i,SV111: $i] :
      ( ( ( c_Type_Oty_Oty__case @ SV111 @ SV334 @ SV541 @ SV740 @ SV934 @ c_Type_Oty_OBoolean @ SV1118 )
        = SV334 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1847]) ).

thf(2055,plain,
    ! [SV1119: $i,SV935: $i,SV741: $i,SV542: $i,SV335: $i,SV112: $i] :
      ( ( ! [SY5684: $i] :
            ( ( SV112 = c_Type_Oty_OVoid )
            | ~ ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SV741 @ SV935 @ SV1119 @ SY5684 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1848]) ).

thf(2056,plain,
    ! [SV114: $i,SV336: $i,SV543: $i] :
      ( ( ( c_Objects_Ohext @ SV543 @ SV336 )
        = $false )
      | ( ( ~ ( c_Objects_Ohext @ SV114 @ SV543 ) )
        = $true )
      | ( ( c_Objects_Ohext @ SV114 @ SV336 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1849]) ).

thf(2057,plain,
    ! [SV1120: $i,SV936: $i,SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ! [SY5685: $i,SY5686: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5685 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY5686 @ SV936 @ SY5685 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SY5686 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1850]) ).

thf(2058,plain,
    ! [SV1121: $i,SV937: $i,SV743: $i,SV545: $i,SV338: $i,SV116: $i] :
      ( ( ( c_Type_Oty_Oty__rec @ SV116 @ SV338 @ SV545 @ SV743 @ SV937 @ c_Type_Oty_OInteger @ SV1121 )
        = SV545 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1851]) ).

thf(2059,plain,
    ! [SV1122: $i,SV938: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ! [SY5687: $i,SY5688: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
            | ( SV938 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SV1122 @ SY5687 @ SY5688 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1852]) ).

thf(2060,plain,
    ! [SV1123: $i,SV939: $i,SV745: $i,SV547: $i,SV341: $i,SV119: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        | ~ ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_Type_Ois__refT @ SV1123 )
        | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1853]) ).

thf(2061,plain,
    ! [SV548: $i,SV342: $i,SV746: $i,SV120: $i] :
      ( ( ( c_Decl_Ois__class @ SV120 @ SV746 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV120 @ SV342 @ SV548 @ ( c_Expr_Oexp_Onew @ SV746 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV746 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1854]) ).

thf(2062,plain,
    ! [SV1124: $i,SV940: $i,SV747: $i,SV549: $i,SV343: $i,SV121: $i] :
      ( ( ( c_Type_Oty_Oty__case @ SV121 @ SV343 @ SV549 @ SV747 @ SV940 @ c_Type_Oty_ONT @ SV1124 )
        = SV747 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1855]) ).

thf(2063,plain,
    ! [SV1125: $i,SV941: $i,SV748: $i,SV550: $i,SV344: $i,SV122: $i] :
      ( ( ( c_Type_Oty_Oty__case @ SV122 @ SV344 @ SV550 @ SV748 @ SV941 @ c_Type_Oty_OInteger @ SV1125 )
        = SV550 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1856]) ).

thf(2064,plain,
    ! [SV1126: $i,SV942: $i,SV749: $i,SV551: $i,SV345: $i,SV123: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        | ~ ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_Type_Ois__refT @ SV1126 )
        | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1857]) ).

thf(2065,plain,
    ! [SV943: $i,SV750: $i,SV553: $i,SV347: $i,SV125: $i] :
      ( ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SV750 )
        = $true )
      | ( ( ~ ( c_Map_Omap__le @ SV943 @ SV347 @ SV553 @ SV750 )
          | ~ ( c_Map_Omap__le @ SV125 @ SV943 @ SV553 @ SV750 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1858]) ).

thf(2066,plain,
    ! [SV944: $i,SV751: $i,SV554: $i,SV348: $i,SV126: $i] :
      ( ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SV751 )
        = $true )
      | ( ( ~ ( c_Map_Omap__le @ SV944 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
          | ~ ( c_WellType_OWT @ SV126 @ SV944 @ SV554 @ SV751 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1859]) ).

thf(2067,plain,
    ! [SV945: $i,SV752: $i,SV556: $i,SV350: $i,SV128: $i] :
      ( ( ( SV128
          = ( c_Type_Oty_OClass @ SV350 ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV556 @ SV752 @ ( c_Expr_Oexp_OCast @ SV350 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1861]) ).

thf(2068,plain,
    ! [SV946: $i,SV753: $i,SV557: $i,SV351: $i,SV129: $i] :
      ( ( ( c_Decl_Ois__class @ SV129 @ SV351 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV129 @ SV557 @ SV753 @ ( c_Expr_Oexp_Onew @ SV351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV946 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1862]) ).

thf(2069,plain,
    ! [SV947: $i,SV754: $i,SV558: $i,SV352: $i,SV130: $i] :
      ( ( ( c_Decl_Ois__class @ SV130 @ SV352 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV130 @ SV558 @ ( c_Expr_Oexp_OCast @ SV352 @ SV754 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV947 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1863]) ).

thf(2070,plain,
    ! [SV1127: $i,SV948: $i,SV755: $i,SV559: $i,SV353: $i,SV131: $i] :
      ( ( ! [SY5689: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SV755 @ SV948 @ SV1127 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5689 )
            | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SV755 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1864]) ).

thf(2071,plain,
    ! [SV1128: $i,SV949: $i,SV756: $i,SV560: $i,SV354: $i,SV132: $i] :
      ( ( ! [SY5690: $i] :
            ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SV756 @ SV949 @ SV1128 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5690 )
            | ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SV756 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1865]) ).

thf(2072,plain,
    ! [SV1129: $i,SV950: $i,SV757: $i,SV561: $i,SV355: $i,SV133: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SV561 @ SV757 @ SV950 @ SV1129 @ c_Type_Oty_ONT @ t_a ) ) )
        | ( hBOOL @ ( hAPP @ SV133 @ SV950 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1866]) ).

thf(2073,plain,
    ! [SV1130: $i,SV951: $i,SV758: $i,SV562: $i,SV356: $i,SV134: $i] :
      ( ( ( c_Type_Oty_Oty__rec @ SV134 @ SV356 @ SV562 @ SV758 @ SV951 @ c_Type_Oty_ONT @ SV1130 )
        = SV758 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1867]) ).

thf(2074,plain,
    ! [SV759: $i,SV563: $i,SV135: $i,SV357: $i] :
      ( ( ( ~ ( c_Map_Omap__le @ SV357 @ SV135 @ SV563 @ SV759 ) )
        = $true )
      | ( ( ~ ( c_Map_Omap__le @ SV135 @ SV357 @ SV563 @ SV759 ) )
        = $true )
      | ( ( SV135 = SV357 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1868]) ).

thf(2075,plain,
    ! [SV1131: $i,SV952: $i,SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ! [SY5691: $i,SY5692: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SV1131 @ SY5691 @ SY5692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1869]) ).

thf(2076,plain,
    ! [SV1132: $i,SV953: $i,SV761: $i,SV565: $i,SV359: $i,SV137: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SV565 @ SV761 @ SV953 @ SV1132 @ c_Type_Oty_OInteger @ t_a ) ) )
        | ( hBOOL @ ( hAPP @ SV137 @ SV761 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1870]) ).

thf(2077,plain,
    ! [SV138: $i,SV360: $i,SV762: $i,SV566: $i] :
      ( ( ( c_WellType_OWT @ SV566 @ SV762 @ ( c_Expr_Oexp_Onew @ SV360 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV138 )
        = $false )
      | ( ( SV138
          = ( c_Type_Oty_OClass @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1871]) ).

thf(2078,plain,
    ! [SV763: $i,SV361: $i,SV567: $i,SV139: $i] :
      ( ( ( c_WellType_OWT @ SV139 @ SV567 @ ( c_Expr_Oexp_Onew @ SV361 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV763 )
        = $false )
      | ( ( c_Decl_Ois__class @ SV139 @ SV361 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1872]) ).

thf(2079,plain,
    ! [SV1133: $i,SV954: $i,SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ! [SY5693: $i,SY5694: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SY5693 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SY5693 @ SY5694 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1873]) ).

thf(2080,plain,
    ! [SV1134: $i,SV955: $i,SV765: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ! [SY5695: $i] :
            ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1134 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SV1134 )
            | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SY5695 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1874]) ).

thf(2081,plain,
    ! [SV1135: $i,SV956: $i,SV766: $i,SV570: $i,SV364: $i,SV142: $i] :
      ( ( ( c_Type_Oty_Oty__case @ SV142 @ SV364 @ SV570 @ SV766 @ SV956 @ c_Type_Oty_OVoid @ SV1135 )
        = SV142 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1875]) ).

thf(2082,plain,
    ! [SV1136: $i,SV957: $i,SV767: $i,SV571: $i,SV365: $i,SV143: $i] :
      ( ( ( c_Type_Oty_Oty__rec @ SV143 @ SV365 @ SV571 @ SV767 @ SV957 @ c_Type_Oty_OBoolean @ SV1136 )
        = SV365 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1876]) ).

thf(2083,plain,
    ! [SV1137: $i,SV958: $i,SV768: $i,SV572: $i,SV366: $i,SV144: $i] :
      ( ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV958 )
        | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SV958 )
        | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SV1137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1877]) ).

thf(2084,plain,
    ! [SV1138: $i,SV959: $i,SV769: $i,SV573: $i,SV367: $i,SV145: $i] :
      ( ( ( c_Type_Oty_Oty__rec @ SV145 @ SV367 @ SV573 @ SV769 @ SV959 @ c_Type_Oty_OVoid @ SV1138 )
        = SV145 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1878]) ).

thf(2085,plain,
    ! [SV1139: $i,SV960: $i,SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ! [SY5696: $i,SY5697: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SY5696 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SY5696 @ SY5697 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1879]) ).

thf(2086,plain,
    ! [SV1140: $i,SV961: $i,SV771: $i,SV575: $i,SV369: $i,SV147: $i] :
      ( ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV147 @ SV575 @ SV771 @ ( c_Expr_Oexp_OCast @ SV369 @ SV961 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1140 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1880]) ).

thf(2087,plain,
    ! [SV1141: $i,SV962: $i,SV772: $i,SV576: $i,SV370: $i,SV148: $i] :
      ( ( ( SV148
          = ( c_Type_Oty_OClass @ SV370 ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV576 @ SV772 @ SV962 @ ( c_Expr_Oexp_OCast @ SV370 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1881]) ).

thf(2088,plain,
    ! [SV1142: $i,SV963: $i,SV773: $i,SV577: $i,SV371: $i,SV149: $i] :
      ( ( ! [SY5698: $i] :
            ( ( c_Type_Oty_Oty__case @ SV149 @ SV371 @ SV577 @ SV773 @ SV963 @ ( c_Type_Oty_OClass @ SV1142 ) @ SY5698 )
            = ( hAPP @ SV963 @ SV1142 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1882]) ).

thf(2089,plain,
    ! [SV1143: $i,SV964: $i,SV774: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ! [SY5699: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1143 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SV1143 )
            | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SY5699 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1883]) ).

thf(2090,plain,
    ! [SV373: $i,SV151: $i] :
      ( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV151 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV151 @ v_ea____ @ SV373 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV151 @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ SV151 @ v_P @ SV373 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1884]) ).

thf(2091,plain,
    ! [SV579: $i,SV374: $i,SV775: $i,SV152: $i] :
      ( ( ( c_Decl_Ois__class @ SV152 @ SV775 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV152 @ SV374 @ SV579 @ ( c_Expr_Oexp_Onew @ SV775 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV775 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1885]) ).

thf(2092,plain,
    ! [SV965: $i,SV776: $i,SV580: $i,SV375: $i,SV153: $i] :
      ( ( ( SV153
          = ( c_Type_Oty_OClass @ SV375 ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV580 @ SV776 @ SV965 @ ( c_Expr_Oexp_Onew @ SV375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1886]) ).

thf(2093,plain,
    ! [SV1144: $i,SV966: $i,SV777: $i,SV581: $i,SV376: $i,SV154: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SV966 )
        | ~ ( c_Map_Omap__le @ SV1144 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
        | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV1144 @ SV777 @ SV966 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1887]) ).

thf(2094,plain,
    ! [SV1145: $i,SV967: $i,SV778: $i,SV582: $i,SV377: $i,SV155: $i] :
      ( ( ! [SY5700: $i] :
            ( ( c_Type_Oty_Oty__rec @ SV155 @ SV377 @ SV582 @ SV778 @ SV967 @ ( c_Type_Oty_OClass @ SV1145 ) @ SY5700 )
            = ( hAPP @ SV967 @ SV1145 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1888]) ).

thf(2095,plain,
    ! [SV378: $i,SV156: $i] :
      ( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV156 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV156 @ v_ea____ @ SV378 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV156 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__2__1 @ SV156 @ v_P @ SV378 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1889]) ).

thf(2096,plain,
    ! [SV968: $i,SV779: $i,SV583: $i,SV379: $i,SV157: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV157 @ SV379 @ SV583 @ SV779 @ SV968 )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV157 @ SV379 @ SV583 @ SV779 @ SV968 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1890]) ).

thf(2097,plain,
    ! [SV969: $i,SV780: $i,SV584: $i,SV380: $i,SV158: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV158 @ SV380 @ SV584 @ SV780 @ SV969 )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV158 @ SV380 @ SV584 @ SV780 @ SV969 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1891]) ).

thf(2098,plain,
    ! [SV970: $i,SV781: $i,SV585: $i,SV381: $i,SV159: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV159 @ SV381 @ SV585 @ SV781 @ SV970 )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV159 @ SV585 @ SV781 @ SV970 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1892]) ).

thf(2099,plain,
    ! [SV1146: $i,SV971: $i,SV782: $i,SV586: $i,SV382: $i,SV160: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SV971 )
        | ~ ( c_Objects_Ohext @ SV1146 @ SV382 )
        | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SV1146 @ SV586 @ SV782 @ SV971 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1893]) ).

thf(2100,plain,
    ! [SV1147: $i,SV972: $i,SV783: $i,SV587: $i,SV383: $i,SV161: $i] :
      ( ( ! [SY5701: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SV783 @ SV972 @ SV1147 @ ( c_Type_Oty_OClass @ SY5701 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SV1147 @ SY5701 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1894]) ).

thf(2101,plain,
    ! [SV1148: $i,SV973: $i,SV784: $i,SV588: $i,SV384: $i,SV162: $i] :
      ( ( ! [SY5702: $i] :
            ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SV784 @ SV973 @ SV1148 @ ( c_Type_Oty_OClass @ SY5702 ) @ t_a ) ) )
            | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SV1148 @ SY5702 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1895]) ).

thf(2102,plain,
    ! [SV385: $i,SV163: $i] :
      ( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV163 @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV163 @ v_ea____ @ SV385 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV163 @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ SV163 @ v_P @ SV385 @ v_e_Ha____ @ v_h_Ha____ ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1896]) ).

thf(2103,plain,
    ! [SV1149: $i,SV974: $i,SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ! [SY5703: $i,SY5704: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5703 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY5704 @ SV974 @ SY5703 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SY5704 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1897]) ).

thf(2104,plain,
    ! [SV1150: $i,SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ! [SY5705: $i,SY5706: $i,SY5707: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
             != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SY5705 @ SY5706 @ SV168 @ SV389 @ SV786 )
              = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SY5705 @ SY5707 @ SV591 @ SV389 @ SV786 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1899]) ).

thf(2105,plain,
    ! [SV1151: $i,SV976: $i,SV787: $i,SV592: $i,SV390: $i,SV170: $i] :
      ( ( ! [SY5708: $i,SY5709: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SV787 @ SV976 )
           != ( c_Expr_Oexp_OFAcc @ SV1151 @ SY5708 @ SY5709 @ SV976 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1900]) ).

thf(2106,plain,
    ! [SV977: $i,SV788: $i,SV593: $i,SV391: $i,SV171: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV171 @ SV391 )
        = ( c_Expr_Oexp_OFAcc @ SV593 @ SV788 @ SV977 @ SV391 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1901]) ).

thf(2107,plain,
    ! [SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY5710: $i,SY5711: $i,SY5712: $i,SY5713: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SY5710 @ SY5711 @ SV172 @ SV392 @ SV789 )
              = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SY5712 @ SY5713 @ SV594 @ SV392 @ SV789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1902]) ).

thf(2108,plain,
    ! [SV979: $i,SV790: $i,SV595: $i,SV393: $i,SV173: $i] :
      ( ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV393 @ SV595 )
         != ( c_Expr_Oexp_OSeq @ SV790 @ SV979 @ SV595 ) )
        = $true )
      | ( ( SV393 = SV979 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1903]) ).

thf(2109,plain,
    ! [SV1153: $i,SV980: $i,SV791: $i,SV596: $i,SV394: $i,SV174: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV174 @ SV394 @ SV596 )
       != ( c_Expr_Oexp_OFAcc @ SV791 @ SV980 @ SV1153 @ SV596 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1904]) ).

thf(2110,plain,
    ! [SV1154: $i,SV981: $i,SV792: $i,SV597: $i,SV395: $i,SV175: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV175 @ SV395 @ SV597 @ SV792 @ SV981 )
       != ( c_Expr_Oexp_Onew @ SV1154 @ SV981 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1905]) ).

thf(2111,plain,
    ! [SV982: $i,SV793: $i,SV598: $i,SV396: $i,SV176: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV176 @ SV396 @ SV598 )
        = ( c_Expr_Oexp_OCast @ SV793 @ SV982 @ SV598 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1906]) ).

thf(2112,plain,
    ! [SV1155: $i,SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ! [SY5714: $i,SY5715: $i,SY5716: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
             != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SY5714 @ SY5715 @ SV177 @ SV397 @ SV794 )
              = ( c_Type_Oty_Oty__case @ SY5716 @ SV1155 @ SY5714 @ SY5715 @ SV599 @ SV397 @ SV794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1907]) ).

thf(2113,plain,
    ! [SV1156: $i,SV984: $i,SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ! [SY5717: $i,SY5718: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
             != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SY5717 @ SY5718 @ SV178 @ SV398 @ SV795 )
              = ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SY5717 @ SY5718 @ SV600 @ SV398 @ SV795 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1908]) ).

thf(2114,plain,
    ! [SV1157: $i,SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ! [SY5719: $i,SY5720: $i,SY5721: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
             != ( c_Expr_Oexp_OFAss @ SV1157 @ SY5719 @ SY5720 @ SY5721 @ SV985 ) )
            | ( SV179 = SV1157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1909]) ).

thf(2115,plain,
    ! [SV1158: $i,SV986: $i,SV797: $i,SV602: $i,SV400: $i,SV180: $i] :
      ( ( ! [SY5722: $i] :
            ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SV602 )
           != ( c_Expr_Oexp_OFAss @ SV797 @ SV986 @ SV1158 @ SY5722 @ SV602 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1910]) ).

thf(2116,plain,
    ! [SV987: $i,SV798: $i,SV603: $i,SV401: $i,SV181: $i] :
      ( ( ( ( c_Expr_Oexp_OCast @ SV181 @ SV401 @ SV603 )
         != ( c_Expr_Oexp_OCast @ SV798 @ SV987 @ SV603 ) )
        = $true )
      | ( ( SV401 = SV987 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1911]) ).

thf(2117,plain,
    ! [SV1159: $i,SV988: $i,SV799: $i,SV604: $i,SV402: $i,SV182: $i] :
      ( ( ! [SY5723: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SV799 )
             != ( c_Expr_Oexp_OFAcc @ SV988 @ SV1159 @ SY5723 @ SV799 ) )
            | ( SV604 = SY5723 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1912]) ).

thf(2118,plain,
    ! [SV1160: $i,SV989: $i,SV800: $i,SV605: $i,SV403: $i,SV183: $i] :
      ( ( ( ( c_Pair @ SV183 @ SV403 @ SV605 @ SV800 )
         != ( c_Pair @ SV989 @ SV1160 @ SV605 @ SV800 ) )
        | ( SV183 = SV989 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1913]) ).

thf(2119,plain,
    ! [SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY5724: $i,SY5725: $i,SY5726: $i,SY5727: $i,SY5728: $i,SY5729: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SY5724 @ SY5725 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SY5726 @ SY5727 @ SY5728 @ SY5729 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1914]) ).

thf(2120,plain,
    ! [SV991: $i,SV803: $i,SV608: $i,SV406: $i,SV187: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV187 @ SV406 @ SV608 )
        = ( c_Expr_Oexp_OSeq @ SV803 @ SV991 @ SV608 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1916]) ).

thf(2121,plain,
    ! [SV1162: $i,SV992: $i,SV804: $i,SV609: $i,SV407: $i,SV188: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV188 @ SV407 @ SV609 )
       != ( c_Expr_Oexp_OFAcc @ SV804 @ SV992 @ SV1162 @ SV609 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1917]) ).

thf(2122,plain,
    ! [SV1163: $i,SV993: $i,SV805: $i,SV610: $i,SV408: $i,SV189: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV189 @ SV408 @ SV610 @ SV805 )
       != ( c_Expr_Oexp_OSeq @ SV993 @ SV1163 @ SV805 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1918]) ).

thf(2123,plain,
    ! [SV1164: $i,SV994: $i,SV807: $i,SV612: $i,SV410: $i,SV191: $i] :
      ( ( ! [SY5730: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SV612 @ SV807 @ SV994 )
           != ( c_Expr_Oexp_OCast @ SV1164 @ SY5730 @ SV994 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1920]) ).

thf(2124,plain,
    ! [SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY5731: $i,SY5732: $i,SY5733: $i,SY5734: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SY5731 @ SY5732 @ SV193 @ SV412 @ SV808 )
              = ( c_Type_Oty_Oty__case @ SV995 @ SY5733 @ SY5734 @ SY5732 @ SV614 @ SV412 @ SV808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1922]) ).

thf(2125,plain,
    ! [SV1166: $i,SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ! [SY5735: $i,SY5736: $i,SY5737: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
             != ( c_Expr_Oexp_OFAss @ SV1166 @ SY5735 @ SY5736 @ SY5737 @ SV996 ) )
            | ( SV413 = SY5735 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1923]) ).

thf(2126,plain,
    ! [SV1167: $i,SV997: $i,SV810: $i,SV616: $i,SV414: $i,SV195: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV195 @ SV414 )
       != ( c_Expr_Oexp_OFAss @ SV616 @ SV810 @ SV997 @ SV1167 @ SV414 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1924]) ).

thf(2127,plain,
    ! [SV1168: $i,SV998: $i,SV811: $i,SV617: $i,SV415: $i,SV196: $i] :
      ( ( ! [SY5738: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SV811 )
             != ( c_Expr_Oexp_OFAcc @ SV998 @ SV1168 @ SY5738 @ SV811 ) )
            | ( SV415 = SV1168 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1925]) ).

thf(2128,plain,
    ! [SV1169: $i,SV999: $i,SV812: $i,SV618: $i,SV416: $i,SV197: $i] :
      ( ( ! [SY5739: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SV618 @ SV812 @ SV999 )
           != ( c_Expr_Oexp_OSeq @ SV1169 @ SY5739 @ SV999 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1926]) ).

thf(2129,plain,
    ! [SV1170: $i,SV1000: $i,SV813: $i,SV619: $i,SV417: $i,SV198: $i] :
      ( ( ! [SY5740: $i,SY5741: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SV813 )
           != ( c_Expr_Oexp_OFAss @ SV1000 @ SV1170 @ SY5740 @ SY5741 @ SV813 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1927]) ).

thf(2130,plain,
    ! [SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY5742: $i,SY5743: $i,SY5744: $i,SY5745: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SY5742 @ SY5743 @ SV199 @ SV418 @ SV814 )
              = ( c_Type_Oty_Oty__case @ SY5744 @ SV1171 @ SY5742 @ SY5745 @ SV620 @ SV418 @ SV814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1928]) ).

thf(2131,plain,
    ! [SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY5746: $i,SY5747: $i,SY5748: $i,SY5749: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SY5746 @ SY5747 @ SV200 @ SV419 @ SV815 )
              = ( c_Type_Oty_Oty__case @ SV1002 @ SY5748 @ SY5746 @ SY5749 @ SV621 @ SV419 @ SV815 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1929]) ).

thf(2132,plain,
    ! [SV1173: $i,SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ! [SY5750: $i,SY5751: $i,SY5752: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
             != ( c_Expr_Oexp_OFAss @ SV1173 @ SY5750 @ SY5751 @ SY5752 @ SV1003 ) )
            | ( SV816 = SY5752 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1930]) ).

thf(2133,plain,
    ! [SV1174: $i,SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ! [SY5753: $i,SY5754: $i,SY5755: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
             != ( c_Expr_Oexp_OFAss @ SV1174 @ SY5753 @ SY5754 @ SY5755 @ SV1004 ) )
            | ( SV623 = SY5754 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1931]) ).

thf(2134,plain,
    ! [SV1005: $i,SV818: $i,SV624: $i,SV422: $i,SV204: $i] :
      ( ( ( ( c_Expr_Oexp_OCast @ SV204 @ SV422 @ SV624 )
         != ( c_Expr_Oexp_OCast @ SV818 @ SV1005 @ SV624 ) )
        = $true )
      | ( ( SV204 = SV818 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1932]) ).

thf(2135,plain,
    ! [SV1175: $i,SV1006: $i,SV819: $i,SV625: $i,SV423: $i,SV206: $i] :
      ( ( ! [SY5756: $i] :
            ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SV819 )
             != ( c_Expr_Oexp_OFAcc @ SV1006 @ SV1175 @ SY5756 @ SV819 ) )
            | ( SV206 = SV1006 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1933]) ).

thf(2136,plain,
    ! [SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY5757: $i,SY5758: $i,SY5759: $i,SY5760: $i,SY5761: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SY5757 @ SY5758 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SV1007 @ SY5759 @ SY5760 @ SY5761 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1934]) ).

thf(2137,plain,
    ! [SV1177: $i,SV1008: $i,SV821: $i,SV627: $i,SV425: $i,SV209: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV209 @ SV425 @ SV627 @ SV821 )
       != ( c_Expr_Oexp_OCast @ SV1008 @ SV1177 @ SV821 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1935]) ).

thf(2138,plain,
    ! [SV1178: $i,SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ! [SY5762: $i,SY5763: $i,SY5764: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
             != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SY5762 @ SY5763 @ SV211 @ SV426 @ SV822 )
              = ( c_Type_Oty_Oty__case @ SV1009 @ SY5764 @ SY5762 @ SY5763 @ SV628 @ SV426 @ SV822 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1936]) ).

thf(2139,plain,
    ! [SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY5765: $i,SY5766: $i,SY5767: $i,SY5768: $i,SY5769: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SY5765 @ SY5766 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SY5767 @ SY5768 @ SY5765 @ SY5769 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1937]) ).

thf(2140,plain,
    ! [SV1180: $i,SV1011: $i,SV825: $i,SV631: $i,SV430: $i,SV216: $i] :
      ( ( ! [SY5770: $i] :
            ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SV631 )
           != ( c_Expr_Oexp_OFAss @ SV825 @ SV1011 @ SV1180 @ SY5770 @ SV631 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1939]) ).

thf(2141,plain,
    ! [SV1012: $i,SV826: $i,SV632: $i,SV431: $i,SV217: $i] :
      ( ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SV431 @ SV632 )
         != ( c_Expr_Oexp_OSeq @ SV826 @ SV1012 @ SV632 ) )
        = $true )
      | ( ( SV217 = SV826 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1940]) ).

thf(2142,plain,
    ! [SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY5771: $i,SY5772: $i,SY5773: $i,SY5774: $i,SY5775: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SY5771 @ SY5772 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SY5773 @ SY5774 @ SY5775 @ SY5772 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1941]) ).

thf(2143,plain,
    ! [SV1182: $i,SV1014: $i,SV829: $i,SV635: $i,SV434: $i,SV221: $i] :
      ( ( ( ( c_Pair @ SV221 @ SV434 @ SV635 @ SV829 )
         != ( c_Pair @ SV1014 @ SV1182 @ SV635 @ SV829 ) )
        | ( SV434 = SV1182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1943]) ).

thf(2144,plain,
    ! [SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY5776: $i,SY5777: $i,SY5778: $i,SY5779: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SY5776 @ SY5777 @ SV222 @ SV435 @ SV830 )
              = ( c_Type_Oty_Oty__case @ SY5778 @ SV1183 @ SY5779 @ SY5777 @ SV636 @ SV435 @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1944]) ).

thf(2145,plain,
    ! [SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY5780: $i,SY5781: $i,SY5782: $i,SY5783: $i,SY5784: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SY5780 @ SY5781 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SY5782 @ SV1184 @ SY5783 @ SY5784 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1945]) ).

thf(2146,plain,
    ! [SV1185: $i,SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ! [SY5785: $i,SY5786: $i,SY5787: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
             != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SY5785 @ SY5786 @ SV224 @ SV437 @ SV832 )
              = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SY5787 @ SY5786 @ SV638 @ SV437 @ SV832 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1946]) ).

thf(2147,plain,
    ! [SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY5788: $i,SY5789: $i,SY5790: $i,SY5791: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SY5788 @ SY5789 @ SV225 @ SV438 @ SV833 )
              = ( c_Type_Oty_Oty__case @ SY5790 @ SY5791 @ SY5788 @ SY5789 @ SV639 @ SV438 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1947]) ).

thf(2148,plain,
    ! [SV1019: $i,SV834: $i,SV640: $i,SV439: $i,SV226: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV226 @ SV439 @ SV640 @ SV834 )
        = ( c_Expr_Oexp_Onew @ SV1019 @ SV834 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1948]) ).

thf(2149,plain,
    ! [SV1187: $i,SV1020: $i,SV835: $i,SV641: $i,SV440: $i,SV227: $i,SV1: $i] :
      ( ( ! [SY5792: $i] :
            ( ( SV1 = c_Type_Oty_OVoid )
            | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SY5792 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SY5792 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SV1187 @ SV641 @ ( c_Expr_Oexp_OFAss @ SV1020 @ SV835 @ SV440 @ SY5792 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1949]) ).

thf(2150,plain,
    ! [SV1188: $i,SV1021: $i,SV836: $i,SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ! [SY5793: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
            | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV1021 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SV1021 @ SV836 @ SV1188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5793 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1950]) ).

thf(2151,plain,
    ! [SV1022: $i,SV837: $i,SV643: $i,SV442: $i,SV229: $i,SV3: $i] :
      ( ( ( c_WellType_OWT @ SV3 @ SV229 @ SV442 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV643 @ SV229 @ SV837 @ SV3 @ SV1022 @ SV442 ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SV442 @ SV837 @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1022 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1951]) ).

thf(2152,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1952]) ).

thf(2153,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1953]) ).

thf(2154,plain,
    ! [SV1189: $i,SV1023: $i,SV838: $i,SV644: $i,SV443: $i,SV232: $i,SV8: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
        | ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV838 @ SV443 @ SV1023 @ SV8 @ SV1189 @ SV644 @ SV232 ) @ SV1023 @ SV1189 @ SV838 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SV1023 @ SV838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1189 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1954]) ).

thf(2155,plain,
    ! [SV1190: $i,SV1024: $i,SV839: $i,SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
        | ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV839 @ SV444 @ SV1024 @ SV9 @ SV1190 @ SV645 @ SV233 ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SV1024 @ SV839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1190 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1955]) ).

thf(2156,plain,
    ! [SV1191: $i,SV1025: $i,SV840: $i,SV646: $i,SV445: $i,SV234: $i,SV10: $i] :
      ( ( ! [SY5794: $i] :
            ( ( SV10 = c_Type_Oty_OVoid )
            | ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1025 @ SV646 @ SV1191 @ SV234 @ SV840 @ SV445 @ SY5794 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SV1191 @ SV1025 @ SY5794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1956]) ).

thf(2157,plain,
    ! [SV1192: $i,SV1026: $i,SV841: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ! [SY5795: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
            | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SV1026 @ SV11 @ SV647 @ SV235 @ SV1192 ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SV1026 @ SV841 @ SV1192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5795 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1957]) ).

thf(2158,plain,
    ! [SV1193: $i,SV1027: $i,SV842: $i,SV648: $i,SV447: $i,SV236: $i,SV12: $i] :
      ( ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1027 )
        | ~ ( c_TypeRel_Osees__field @ SV12 @ SV1193 @ SV648 @ SV1027 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SV1193 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1958]) ).

thf(2159,plain,
    ! [SV1028: $i,SV843: $i,SV649: $i,SV448: $i,SV237: $i,SV13: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SV448 @ SV649 @ SV237 @ SV843 )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV13 @ SV1028 @ SV448 @ SV649 @ SV237 @ SV843 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1959]) ).

thf(2160,plain,
    ! [SV1029: $i,SV844: $i,SV650: $i,SV449: $i,SV238: $i,SV14: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SV1029 )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SV1029 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1960]) ).

thf(2161,plain,
    ! [SV1030: $i,SV845: $i,SV651: $i,SV450: $i,SV239: $i,SV15: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SV450 @ SV651 @ SV15 @ SV845 @ SV1030 ) @ SV651 @ SV845 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV15 @ SV450 @ ( c_Expr_Oexp_OFAcc @ SV1030 @ SV651 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV845 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1961]) ).

thf(2162,plain,
    ! [SV1194: $i,SV1031: $i,SV846: $i,SV652: $i,SV451: $i,SV240: $i,SV16: $i] :
      ( ( ! [SY5796: $i] :
            ( ( SV16 = SV240 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SV1194 )
            | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SY5796 @ SV1194 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1962]) ).

thf(2163,plain,
    ! [SV1195: $i,SV1032: $i,SV847: $i,SV653: $i,SV452: $i,SV241: $i,SV17: $i] :
      ( ( ! [SY5797: $i] :
            ( ( SV17 = SV241 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SV1195 )
            | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SY5797 @ SV241 @ SV1195 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1963]) ).

thf(2164,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1964]) ).

thf(2165,plain,
    ! [SV1196: $i,SV1033: $i,SV848: $i,SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ! [SY5798: $i,SY5799: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SY5798 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY5799 @ SV654 @ SY5798 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SY5799 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1965]) ).

thf(2166,plain,
    ! [SV1197: $i,SV1034: $i,SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV20: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) )
        | ( SV1197 = c_Type_Oty_ONT )
        | ( SV1197 = c_Type_Oty_OInteger )
        | ( SV1197 = c_Type_Oty_OBoolean )
        | ( SV1197 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1966]) ).

thf(2167,plain,
    ! [SV1198: $i,SV1035: $i,SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV21: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) )
        | ( SV1198 = c_Type_Oty_ONT )
        | ( SV1198 = c_Type_Oty_OInteger )
        | ( SV1198 = c_Type_Oty_OBoolean )
        | ( SV1198 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1967]) ).

thf(2168,plain,
    ! [SV1199: $i,SV1036: $i,SV851: $i,SV657: $i,SV456: $i,SV246: $i,SV22: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        | ( SV1199
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
        | ( SV1199 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
        | ( SV1199 = c_Type_Oty_OBoolean )
        | ( SV1199 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1968]) ).

thf(2169,plain,
    ! [SV1200: $i,SV1037: $i,SV852: $i,SV658: $i,SV457: $i,SV247: $i,SV23: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        | ( SV1200
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
        | ( SV1200 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
        | ( SV1200 = c_Type_Oty_OBoolean )
        | ( SV1200 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1969]) ).

thf(2170,plain,
    ! [SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY5800: $i,SY5801: $i,SY5802: $i,SY5803: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
              = ( c_Type_Oty_Oty__case @ SY5800 @ SY5801 @ SV659 @ SY5802 @ SY5803 @ SV24 @ SV1201 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SY5803 @ SV1201 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1970]) ).

thf(2171,plain,
    ! [SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY5804: $i,SY5805: $i,SY5806: $i,SY5807: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
              = ( c_Type_Oty_Oty__case @ SY5804 @ SY5805 @ SY5806 @ SV854 @ SY5807 @ SV25 @ SV1202 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SY5807 @ SV1202 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1971]) ).

thf(2172,plain,
    ! [SV1203: $i,SV1040: $i,SV855: $i,SV661: $i,SV460: $i,SV250: $i,SV26: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        | ( SV1203
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
        | ( SV1203 = c_Type_Oty_OInteger )
        | ( SV1203 = c_Type_Oty_OBoolean )
        | ( SV1203 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1972]) ).

thf(2173,plain,
    ! [SV1204: $i,SV1041: $i,SV856: $i,SV662: $i,SV461: $i,SV251: $i,SV27: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        | ( SV1204
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
        | ( SV1204 = c_Type_Oty_OInteger )
        | ( SV1204 = c_Type_Oty_OBoolean )
        | ( SV1204 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1973]) ).

thf(2174,plain,
    ! [SV1205: $i,SV1042: $i,SV857: $i,SV663: $i,SV462: $i,SV252: $i,SV28: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        | ( SV1205
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
        | ( SV1205 = c_Type_Oty_ONT )
        | ( SV1205 = c_Type_Oty_OInteger )
        | ( SV1205 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1974]) ).

thf(2175,plain,
    ! [SV1206: $i,SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY5808: $i,SY5809: $i,SY5810: $i,SY5811: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SY5808 @ SY5809 @ SY5810 @ SY5811 @ SV1043 @ SV1206 ) )
            | ( SV1043
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SY5811 @ SV1206 ) ) )
            | ( SV1043 = c_Type_Oty_ONT )
            | ( SV1043 = c_Type_Oty_OInteger )
            | ( SV1043 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1975]) ).

thf(2176,plain,
    ! [SV1207: $i,SV1044: $i,SV859: $i,SV665: $i,SV464: $i,SV254: $i,SV30: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        | ( SV1207
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
        | ( SV1207 = c_Type_Oty_ONT )
        | ( SV1207 = c_Type_Oty_OInteger )
        | ( SV1207 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1976]) ).

thf(2177,plain,
    ! [SV1208: $i,SV1045: $i,SV860: $i,SV666: $i,SV465: $i,SV255: $i,SV31: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        | ( SV1208
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
        | ( SV1208 = c_Type_Oty_ONT )
        | ( SV1208 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
        | ( SV1208 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1977]) ).

thf(2178,plain,
    ! [SV1209: $i,SV1046: $i,SV861: $i,SV667: $i,SV466: $i,SV256: $i,SV32: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        | ( SV1209
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
        | ( SV1209 = c_Type_Oty_ONT )
        | ( SV1209 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
        | ( SV1209 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1978]) ).

thf(2179,plain,
    ! [SV1210: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY5812: $i,SY5813: $i,SY5814: $i,SY5815: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
              = ( c_Type_Oty_Oty__case @ SY5812 @ SV467 @ SY5813 @ SY5814 @ SY5815 @ SV33 @ SV1210 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SY5815 @ SV1210 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1979]) ).

thf(2180,plain,
    ! [SV1211: $i,SV1048: $i,SV863: $i,SV669: $i,SV468: $i,SV258: $i,SV34: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
        | ( SV1211 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
        | ( SV1211 = c_Type_Oty_OBoolean )
        | ( SV1211 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1980]) ).

thf(2181,plain,
    ! [SV1212: $i,SV1049: $i,SV864: $i,SV670: $i,SV469: $i,SV259: $i,SV35: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
        | ( SV1212 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
        | ( SV1212 = c_Type_Oty_OBoolean )
        | ( SV1212 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1981]) ).

thf(2182,plain,
    ! [SV1213: $i,SV1050: $i,SV865: $i,SV671: $i,SV470: $i,SV260: $i,SV36: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
        | ( SV1213 = c_Type_Oty_OInteger )
        | ( SV1213 = c_Type_Oty_OBoolean )
        | ( SV1213 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1982]) ).

thf(2183,plain,
    ! [SV1214: $i,SV1051: $i,SV866: $i,SV672: $i,SV471: $i,SV261: $i,SV37: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
        | ( SV1214 = c_Type_Oty_OInteger )
        | ( SV1214 = c_Type_Oty_OBoolean )
        | ( SV1214 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1983]) ).

thf(2184,plain,
    ! [SV1215: $i,SV1052: $i,SV867: $i,SV673: $i,SV472: $i,SV262: $i,SV38: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
        | ( SV1215 = c_Type_Oty_ONT )
        | ( SV1215 = c_Type_Oty_OInteger )
        | ( SV1215 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1984]) ).

thf(2185,plain,
    ! [SV1216: $i,SV1053: $i,SV868: $i,SV674: $i,SV473: $i,SV263: $i,SV39: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
        | ( SV1216 = c_Type_Oty_ONT )
        | ( SV1216 = c_Type_Oty_OInteger )
        | ( SV1216 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1985]) ).

thf(2186,plain,
    ! [SV1217: $i,SV1054: $i,SV869: $i,SV675: $i,SV474: $i,SV264: $i,SV40: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
        | ( SV1217 = c_Type_Oty_ONT )
        | ( SV1217 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
        | ( SV1217 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1986]) ).

thf(2187,plain,
    ! [SV1218: $i,SV1055: $i,SV870: $i,SV676: $i,SV475: $i,SV265: $i,SV41: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
        | ( SV1218 = c_Type_Oty_ONT )
        | ( SV1218 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
        | ( SV1218 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1987]) ).

thf(2188,plain,
    ! [SV1219: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY5816: $i,SY5817: $i,SY5818: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
              = ( c_Type_Oty_Oty__case @ SY5816 @ SY5817 @ SV677 @ SV871 @ SY5818 @ SV42 @ SV1219 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SY5818 @ SV1219 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1988]) ).

thf(2189,plain,
    ! [SV1220: $i,SV1057: $i,SV872: $i,SV678: $i,SV477: $i,SV267: $i,SV43: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        | ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
        | ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
        | ( SV1220 = c_Type_Oty_OBoolean )
        | ( SV1220 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1989]) ).

thf(2190,plain,
    ! [SV1221: $i,SV1058: $i,SV873: $i,SV679: $i,SV478: $i,SV268: $i,SV44: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        | ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
        | ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
        | ( SV1221 = c_Type_Oty_OBoolean )
        | ( SV1221 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1990]) ).

thf(2191,plain,
    ! [SV1222: $i,SV1059: $i,SV874: $i,SV680: $i,SV479: $i,SV269: $i,SV45: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        | ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        | ( SV1222 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
        | ( SV1222 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1991]) ).

thf(2192,plain,
    ! [SV1223: $i,SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY5819: $i,SY5820: $i,SY5821: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SY5819 @ SV681 @ SY5820 @ SY5821 @ SV46 @ SV1223 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SY5821 @ SV1223 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1992]) ).

thf(2193,plain,
    ! [SV1224: $i,SV1061: $i,SV876: $i,SV682: $i,SV481: $i,SV271: $i,SV47: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        | ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        | ( SV1224 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
        | ( SV1224 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1993]) ).

thf(2194,plain,
    ! [SV1225: $i,SV1062: $i,SV877: $i,SV683: $i,SV482: $i,SV272: $i,SV48: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        | ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
        | ( SV1225 = c_Type_Oty_OInteger )
        | ( SV1225 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1994]) ).

thf(2195,plain,
    ! [SV1226: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY5822: $i,SY5823: $i,SY5824: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SY5822 @ SY5823 @ SV878 @ SY5824 @ SV49 @ SV1226 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SY5824 @ SV1226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1995]) ).

thf(2196,plain,
    ! [SV1227: $i,SV1064: $i,SV879: $i,SV685: $i,SV484: $i,SV274: $i,SV50: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        | ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
        | ( SV1227 = c_Type_Oty_OInteger )
        | ( SV1227 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1996]) ).

thf(2197,plain,
    ! [SV1228: $i,SV1065: $i,SV880: $i,SV686: $i,SV485: $i,SV275: $i,SV51: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        | ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        | ( SV1228 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
        | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
        | ( SV1228 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1997]) ).

thf(2198,plain,
    ! [SV1229: $i,SV1066: $i,SV881: $i,SV687: $i,SV486: $i,SV276: $i,SV52: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        | ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        | ( SV1229 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
        | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
        | ( SV1229 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1998]) ).

thf(2199,plain,
    ! [SV1230: $i,SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY5825: $i,SY5826: $i,SY5827: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
              = ( c_Type_Oty_Oty__case @ SY5825 @ SV487 @ SV688 @ SY5826 @ SY5827 @ SV53 @ SV1230 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SY5827 @ SV1230 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1999]) ).

thf(2200,plain,
    ! [SV1231: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY5828: $i,SY5829: $i,SY5830: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
              = ( c_Type_Oty_Oty__case @ SY5828 @ SV488 @ SY5829 @ SV883 @ SY5830 @ SV54 @ SV1231 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SY5830 @ SV1231 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2000]) ).

thf(2201,plain,
    ! [SV1232: $i,SV1069: $i,SV884: $i,SV690: $i,SV489: $i,SV279: $i,SV55: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        | ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
        | ( SV1232 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
        | ( SV1232 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2001]) ).

thf(2202,plain,
    ! [SV1233: $i,SV1070: $i,SV885: $i,SV691: $i,SV490: $i,SV280: $i,SV56: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        | ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
        | ( SV1233 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
        | ( SV1233 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2002]) ).

thf(2203,plain,
    ! [SV1234: $i,SV1071: $i,SV886: $i,SV692: $i,SV491: $i,SV281: $i,SV57: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        | ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        | ( SV1234 = c_Type_Oty_ONT )
        | ( SV1234 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
        | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2003]) ).

thf(2204,plain,
    ! [SV1235: $i,SV1072: $i,SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY5831: $i,SY5832: $i,SY5833: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SY5831 @ SY5832 @ SY5833 @ SV1072 @ SV1235 ) )
            | ( SV1072
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SY5833 @ SV1235 ) ) )
            | ( SV1072 = c_Type_Oty_ONT )
            | ( SV1072 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2004]) ).

thf(2205,plain,
    ! [SV1236: $i,SV1073: $i,SV888: $i,SV694: $i,SV493: $i,SV283: $i,SV59: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        | ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        | ( SV1236 = c_Type_Oty_ONT )
        | ( SV1236 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
        | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2005]) ).

thf(2206,plain,
    ! [SV1237: $i,SV1074: $i,SV889: $i,SV695: $i,SV494: $i,SV284: $i,SV60: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
        | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
        | ( SV1237 = c_Type_Oty_OBoolean )
        | ( SV1237 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2006]) ).

thf(2207,plain,
    ! [SV1238: $i,SV1075: $i,SV890: $i,SV696: $i,SV495: $i,SV285: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
        | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
        | ( SV1238 = c_Type_Oty_OBoolean )
        | ( SV1238 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2007]) ).

thf(2208,plain,
    ! [SV1239: $i,SV1076: $i,SV891: $i,SV697: $i,SV496: $i,SV286: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        | ( SV1239 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
        | ( SV1239 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2008]) ).

thf(2209,plain,
    ! [SV1240: $i,SV1077: $i,SV892: $i,SV698: $i,SV497: $i,SV287: $i,SV63: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        | ( SV1240 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
        | ( SV1240 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2009]) ).

thf(2210,plain,
    ! [SV1241: $i,SV1078: $i,SV893: $i,SV699: $i,SV498: $i,SV288: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
        | ( SV1241 = c_Type_Oty_OInteger )
        | ( SV1241 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2010]) ).

thf(2211,plain,
    ! [SV1242: $i,SV1079: $i,SV894: $i,SV700: $i,SV499: $i,SV289: $i,SV65: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
        | ( SV1242 = c_Type_Oty_OInteger )
        | ( SV1242 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2011]) ).

thf(2212,plain,
    ! [SV1243: $i,SV1080: $i,SV895: $i,SV701: $i,SV500: $i,SV290: $i,SV66: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        | ( SV1243 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
        | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
        | ( SV1243 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2012]) ).

thf(2213,plain,
    ! [SV1244: $i,SV1081: $i,SV896: $i,SV702: $i,SV501: $i,SV291: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        | ( SV1244 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
        | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
        | ( SV1244 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2013]) ).

thf(2214,plain,
    ! [SV1245: $i,SV1082: $i,SV897: $i,SV703: $i,SV502: $i,SV292: $i,SV68: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
        | ( SV1245 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
        | ( SV1245 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2014]) ).

thf(2215,plain,
    ! [SV1246: $i,SV1083: $i,SV898: $i,SV704: $i,SV503: $i,SV293: $i,SV69: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
        | ( SV1246 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
        | ( SV1246 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2015]) ).

thf(2216,plain,
    ! [SV1247: $i,SV1084: $i,SV899: $i,SV705: $i,SV504: $i,SV294: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        | ( SV1247 = c_Type_Oty_ONT )
        | ( SV1247 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
        | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2016]) ).

thf(2217,plain,
    ! [SV1248: $i,SV1085: $i,SV900: $i,SV706: $i,SV505: $i,SV295: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        | ( SV1248 = c_Type_Oty_ONT )
        | ( SV1248 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
        | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2017]) ).

thf(2218,plain,
    ! [SV1249: $i,SV1086: $i,SV901: $i,SV707: $i,SV506: $i,SV296: $i,SV72: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        | ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
        | ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
        | ( SV1249 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2018]) ).

thf(2219,plain,
    ! [SV1250: $i,SV1087: $i,SV902: $i,SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ! [SY5834: $i,SY5835: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SV1087 @ SV73 @ SV1250 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SY5834 @ SV708 @ SV902 @ SY5835 @ SV73 @ SV1250 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SV1087 @ SY5835 @ SV1250 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2019]) ).

thf(2220,plain,
    ! [SV1251: $i,SV1088: $i,SV903: $i,SV709: $i,SV508: $i,SV298: $i,SV74: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        | ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
        | ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
        | ( SV1251 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2020]) ).

thf(2221,plain,
    ! [SV1252: $i,SV1089: $i,SV904: $i,SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ! [SY5836: $i,SY5837: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SV1089 @ SV75 @ SV1252 )
              = ( c_Type_Oty_Oty__case @ SY5836 @ SV509 @ SV710 @ SV904 @ SY5837 @ SV75 @ SV1252 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SV1089 @ SY5837 @ SV1252 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2021]) ).

thf(2222,plain,
    ! [SV1253: $i,SV1090: $i,SV905: $i,SV711: $i,SV510: $i,SV300: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        | ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
        | ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
        | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
        | ( SV1253 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2022]) ).

thf(2223,plain,
    ! [SV1254: $i,SV1091: $i,SV906: $i,SV712: $i,SV511: $i,SV301: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        | ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
        | ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
        | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
        | ( SV1254 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2023]) ).

thf(2224,plain,
    ! [SV1255: $i,SV1092: $i,SV907: $i,SV713: $i,SV512: $i,SV302: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        | ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        | ( SV1255 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
        | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
        | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2024]) ).

thf(2225,plain,
    ! [SV1256: $i,SV1093: $i,SV908: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ! [SY5838: $i,SY5839: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SV1093 @ SV1256 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SY5838 @ SY5839 @ SV1093 @ SV1256 ) )
            | ( SV1093
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1093 @ SV908 @ SY5839 @ SV1256 ) ) )
            | ( SV1093 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2025]) ).

thf(2226,plain,
    ! [SV1257: $i,SV1094: $i,SV909: $i,SV715: $i,SV514: $i,SV304: $i,SV80: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        | ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        | ( SV1257 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
        | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
        | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2026]) ).

thf(2227,plain,
    ! [SV1258: $i,SV1095: $i,SV910: $i,SV716: $i,SV515: $i,SV305: $i,SV81: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        | ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
        | ( SV1258 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
        | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2027]) ).

thf(2228,plain,
    ! [SV1259: $i,SV1096: $i,SV911: $i,SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ! [SY5840: $i,SY5841: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SV1096 @ SV82 @ SV1259 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SY5840 @ SV911 @ SY5841 @ SV82 @ SV1259 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SV1096 @ SY5841 @ SV1259 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2028]) ).

thf(2229,plain,
    ! [SV1260: $i,SV1097: $i,SV912: $i,SV718: $i,SV517: $i,SV307: $i,SV83: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        | ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
        | ( SV1260 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
        | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2029]) ).

thf(2230,plain,
    ! [SV1261: $i,SV1098: $i,SV913: $i,SV719: $i,SV518: $i,SV308: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
        | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
        | ( SV1261 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2030]) ).

thf(2231,plain,
    ! [SV1262: $i,SV1099: $i,SV914: $i,SV720: $i,SV519: $i,SV309: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
        | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
        | ( SV1262 = c_Type_Oty_OBoolean )
        | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2031]) ).

thf(2232,plain,
    ! [SV1263: $i,SV1100: $i,SV915: $i,SV721: $i,SV520: $i,SV310: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
        | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
        | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
        | ( SV1263 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2032]) ).

thf(2233,plain,
    ! [SV1264: $i,SV1101: $i,SV916: $i,SV722: $i,SV521: $i,SV311: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
        | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
        | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
        | ( SV1264 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2033]) ).

thf(2234,plain,
    ! [SV1265: $i,SV1102: $i,SV917: $i,SV723: $i,SV522: $i,SV312: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        | ( SV1265 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
        | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
        | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2034]) ).

thf(2235,plain,
    ! [SV1266: $i,SV1103: $i,SV918: $i,SV724: $i,SV523: $i,SV313: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        | ( SV1266 = c_Type_Oty_ONT )
        | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
        | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
        | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2035]) ).

thf(2236,plain,
    ! [SV1267: $i,SV1104: $i,SV919: $i,SV725: $i,SV524: $i,SV314: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
        | ( SV1267 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
        | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2036]) ).

thf(2237,plain,
    ! [SV1268: $i,SV1105: $i,SV920: $i,SV726: $i,SV525: $i,SV315: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
        | ( SV1268 = c_Type_Oty_OInteger )
        | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
        | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2037]) ).

thf(2238,plain,
    ! [SV1269: $i,SV1106: $i,SV921: $i,SV727: $i,SV527: $i,SV317: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        | ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        | ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
        | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
        | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2038]) ).

thf(2239,plain,
    ! [SV1270: $i,SV1107: $i,SV922: $i,SV728: $i,SV528: $i,SV318: $i,SV94: $i] :
      ( ( ! [SY5842: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV922 @ SV1107 @ SV1270 )
              = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SY5842 @ SV1107 @ SV1270 ) )
            | ( SV1107
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1107 @ SV922 @ SY5842 @ SV1270 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2039]) ).

thf(2240,plain,
    ! [SV1271: $i,SV1108: $i,SV923: $i,SV729: $i,SV529: $i,SV319: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        | ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        | ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
        | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
        | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2040]) ).

thf(2241,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV730: $i,SV530: $i,SV320: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
        | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
        | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2041]) ).

thf(2242,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV731: $i,SV531: $i,SV321: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        | ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
        | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
        | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2042]) ).

thf(2243,plain,
    ! [SV323: $i,SV732: $i,SV533: $i,SV926: $i,SV99: $i] :
      ( ( ( ~ ( c_TypeRel_Owiden @ SV99 @ SV926 @ SV533 @ SV732 ) )
        = $true )
      | ( ( ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV926 @ SV732 ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SV732 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2043]) ).

thf(2244,plain,
    ! [SV1274: $i,SV1111: $i,SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY5843: $i,SY5844: $i,SY5845: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SY5843 @ SY5844 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SY5843 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY5845 @ SV927 @ SY5844 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SY5845 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2044]) ).

thf(2245,plain,
    ! [SV1275: $i,SV1112: $i,SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY5846: $i,SY5847: $i,SY5848: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SY5846 @ SY5847 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SY5846 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY5848 @ SV928 @ SY5847 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SY5848 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2045]) ).

thf(2246,plain,
    ! [SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY5849: $i,SY5850: $i,SY5851: $i,SY5852: $i,SY5853: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
              = ( c_Type_Oty_Oty__case @ SY5849 @ SY5850 @ SY5851 @ SY5852 @ SY5853 @ SV1113 @ SV1276 ) )
            | ( SV1113
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SY5853 @ SV1276 ) ) )
            | ( SV1113 = c_Type_Oty_ONT )
            | ( SV1113 = c_Type_Oty_OInteger )
            | ( SV1113 = c_Type_Oty_OBoolean )
            | ( SV1113 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2046]) ).

thf(2247,plain,
    ! [SV1277: $i,SV1114: $i,SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV103: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SV1277 @ t_a ) ) )
        | ( SV1277
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SV1277 ) ) )
        | ( SV1277 = c_Type_Oty_ONT )
        | ( SV1277 = c_Type_Oty_OInteger )
        | ( SV1277 = c_Type_Oty_OBoolean )
        | ( SV1277 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2047]) ).

thf(2248,plain,
    ! [SV1278: $i,SV1115: $i,SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV104: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SV1278 @ t_a ) ) )
        | ( SV1278
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SV1278 ) ) )
        | ( SV1278 = c_Type_Oty_ONT )
        | ( SV1278 = c_Type_Oty_OInteger )
        | ( SV1278 = c_Type_Oty_OBoolean )
        | ( SV1278 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2048]) ).

thf(2249,plain,
    ! [SV1116: $i,SV932: $i,SV738: $i,SV539: $i,SV332: $i,SV109: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SV539 @ SV738 @ SV932 @ SV1116 @ c_Type_Oty_OVoid @ t_a ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV109 @ SV332 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2052]) ).

thf(2250,plain,
    ! [SV1117: $i,SV933: $i,SV739: $i,SV540: $i,SV333: $i,SV110: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SV540 @ SV739 @ SV933 @ SV1117 @ c_Type_Oty_OBoolean @ t_a ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV110 @ SV540 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2053]) ).

thf(2251,plain,
    ! [SV1279: $i,SV1119: $i,SV935: $i,SV741: $i,SV542: $i,SV335: $i,SV112: $i] :
      ( ( ( SV112 = c_Type_Oty_OVoid )
        | ~ ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SV741 @ SV935 @ SV1119 @ SV1279 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2055]) ).

thf(2252,plain,
    ! [SV336: $i,SV543: $i,SV114: $i] :
      ( ( ( c_Objects_Ohext @ SV114 @ SV543 )
        = $false )
      | ( ( c_Objects_Ohext @ SV543 @ SV336 )
        = $false )
      | ( ( c_Objects_Ohext @ SV114 @ SV336 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2056]) ).

thf(2253,plain,
    ! [SV1280: $i,SV1120: $i,SV936: $i,SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ! [SY5854: $i] :
            ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1280 )
            | ~ ( c_TypeRel_Ohas__field @ SV115 @ SY5854 @ SV936 @ SV1280 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SY5854 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2057]) ).

thf(2254,plain,
    ! [SV1281: $i,SV1122: $i,SV938: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ! [SY5855: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
            | ( SV938 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SV1122 @ SV1281 @ SY5855 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2059]) ).

thf(2255,plain,
    ! [SV1123: $i,SV939: $i,SV745: $i,SV547: $i,SV341: $i,SV119: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        = $true )
      | ( ( ~ ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Type_Ois__refT @ SV1123 )
          | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2060]) ).

thf(2256,plain,
    ! [SV1126: $i,SV942: $i,SV749: $i,SV551: $i,SV345: $i,SV123: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        = $true )
      | ( ( ~ ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Type_Ois__refT @ SV1126 )
          | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2064]) ).

thf(2257,plain,
    ! [SV125: $i,SV750: $i,SV553: $i,SV347: $i,SV943: $i] :
      ( ( ( ~ ( c_Map_Omap__le @ SV943 @ SV347 @ SV553 @ SV750 ) )
        = $true )
      | ( ( ~ ( c_Map_Omap__le @ SV125 @ SV943 @ SV553 @ SV750 ) )
        = $true )
      | ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SV750 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2065]) ).

thf(2258,plain,
    ! [SV751: $i,SV554: $i,SV126: $i,SV348: $i,SV944: $i] :
      ( ( ( ~ ( c_Map_Omap__le @ SV944 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV126 @ SV944 @ SV554 @ SV751 ) )
        = $true )
      | ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SV751 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2066]) ).

thf(2259,plain,
    ! [SV128: $i,SV945: $i,SV350: $i,SV752: $i,SV556: $i] :
      ( ( ( c_WellType_OWT @ SV556 @ SV752 @ ( c_Expr_Oexp_OCast @ SV350 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV128 )
        = $false )
      | ( ( SV128
          = ( c_Type_Oty_OClass @ SV350 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2067]) ).

thf(2260,plain,
    ! [SV946: $i,SV351: $i,SV753: $i,SV557: $i,SV129: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV129 @ SV557 @ SV753 @ ( c_Expr_Oexp_Onew @ SV351 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV946 )
        = $false )
      | ( ( c_Decl_Ois__class @ SV129 @ SV351 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2068]) ).

thf(2261,plain,
    ! [SV947: $i,SV754: $i,SV352: $i,SV558: $i,SV130: $i] :
      ( ( ( c_WellType_OWT @ SV130 @ SV558 @ ( c_Expr_Oexp_OCast @ SV352 @ SV754 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV947 )
        = $false )
      | ( ( c_Decl_Ois__class @ SV130 @ SV352 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2069]) ).

thf(2262,plain,
    ! [SV1282: $i,SV1127: $i,SV948: $i,SV755: $i,SV559: $i,SV353: $i,SV131: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SV755 @ SV948 @ SV1127 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1282 )
        | ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SV755 @ c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2070]) ).

thf(2263,plain,
    ! [SV1283: $i,SV1128: $i,SV949: $i,SV756: $i,SV560: $i,SV354: $i,SV132: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SV756 @ SV949 @ SV1128 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1283 )
        | ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SV756 @ c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2071]) ).

thf(2264,plain,
    ! [SV1129: $i,SV950: $i,SV757: $i,SV561: $i,SV355: $i,SV133: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SV561 @ SV757 @ SV950 @ SV1129 @ c_Type_Oty_ONT @ t_a ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV133 @ SV950 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2072]) ).

thf(2265,plain,
    ! [SV759: $i,SV563: $i,SV135: $i,SV357: $i] :
      ( ( ( c_Map_Omap__le @ SV357 @ SV135 @ SV563 @ SV759 )
        = $false )
      | ( ( ~ ( c_Map_Omap__le @ SV135 @ SV357 @ SV563 @ SV759 ) )
        = $true )
      | ( ( SV135 = SV357 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2074]) ).

thf(2266,plain,
    ! [SV1284: $i,SV1131: $i,SV952: $i,SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ! [SY5856: $i] :
            ( ( SV136 = c_Type_Oty_OVoid )
            | ( SV136 = c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SV1131 @ SV1284 @ SY5856 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2075]) ).

thf(2267,plain,
    ! [SV1132: $i,SV953: $i,SV761: $i,SV565: $i,SV359: $i,SV137: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SV565 @ SV761 @ SV953 @ SV1132 @ c_Type_Oty_OInteger @ t_a ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV137 @ SV761 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2076]) ).

thf(2268,plain,
    ! [SV1285: $i,SV1133: $i,SV954: $i,SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ! [SY5857: $i] :
            ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SV1285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV1285 @ SY5857 )
            | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2079]) ).

thf(2269,plain,
    ! [SV1286: $i,SV1134: $i,SV955: $i,SV765: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1134 )
        | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SV1134 )
        | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SV1286 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2080]) ).

thf(2270,plain,
    ! [SV1137: $i,SV958: $i,SV768: $i,SV572: $i,SV366: $i,SV144: $i] :
      ( ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV958 )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SV958 )
          | ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SV1137 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2083]) ).

thf(2271,plain,
    ! [SV1287: $i,SV1139: $i,SV960: $i,SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ! [SY5858: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SV1287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV1287 @ SY5858 )
            | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2085]) ).

thf(2272,plain,
    ! [SV1140: $i,SV961: $i,SV771: $i,SV575: $i,SV369: $i,SV147: $i] :
      ( ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV147 @ SV575 @ SV771 @ ( c_Expr_Oexp_OCast @ SV369 @ SV961 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1140 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2086]) ).

thf(2273,plain,
    ! [SV1141: $i,SV962: $i,SV772: $i,SV576: $i,SV370: $i,SV148: $i] :
      ( ( ( SV148
          = ( c_Type_Oty_OClass @ SV370 ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV576 @ SV772 @ SV962 @ ( c_Expr_Oexp_OCast @ SV370 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2087]) ).

thf(2274,plain,
    ! [SV1288: $i,SV1142: $i,SV963: $i,SV773: $i,SV577: $i,SV371: $i,SV149: $i] :
      ( ( ( c_Type_Oty_Oty__case @ SV149 @ SV371 @ SV577 @ SV773 @ SV963 @ ( c_Type_Oty_OClass @ SV1142 ) @ SV1288 )
        = ( hAPP @ SV963 @ SV1142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2088]) ).

thf(2275,plain,
    ! [SV1289: $i,SV1143: $i,SV964: $i,SV774: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1143 )
        | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SV1143 )
        | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SV1289 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2089]) ).

thf(2276,plain,
    ! [SV153: $i,SV375: $i,SV965: $i,SV776: $i,SV580: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV580 @ SV776 @ SV965 @ ( c_Expr_Oexp_Onew @ SV375 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV153 )
        = $false )
      | ( ( SV153
          = ( c_Type_Oty_OClass @ SV375 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2092]) ).

thf(2277,plain,
    ! [SV1144: $i,SV966: $i,SV777: $i,SV581: $i,SV376: $i,SV154: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SV966 )
        = $true )
      | ( ( ~ ( c_Map_Omap__le @ SV1144 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
          | ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV1144 @ SV777 @ SV966 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2093]) ).

thf(2278,plain,
    ! [SV1290: $i,SV1145: $i,SV967: $i,SV778: $i,SV582: $i,SV377: $i,SV155: $i] :
      ( ( ( c_Type_Oty_Oty__rec @ SV155 @ SV377 @ SV582 @ SV778 @ SV967 @ ( c_Type_Oty_OClass @ SV1145 ) @ SV1290 )
        = ( hAPP @ SV967 @ SV1145 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2094]) ).

thf(2279,plain,
    ! [SV968: $i,SV779: $i,SV583: $i,SV379: $i,SV157: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV157 @ SV379 @ SV583 @ SV779 @ SV968 )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV157 @ SV379 @ SV583 @ SV779 @ SV968 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2096]) ).

thf(2280,plain,
    ! [SV969: $i,SV780: $i,SV584: $i,SV380: $i,SV158: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV158 @ SV380 @ SV584 @ SV780 @ SV969 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV158 @ SV380 @ SV584 @ SV780 @ SV969 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2097]) ).

thf(2281,plain,
    ! [SV381: $i,SV970: $i,SV781: $i,SV585: $i,SV159: $i] :
      ( ( ( c_WellType_OWT @ SV159 @ SV585 @ SV781 @ SV970 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV159 @ SV381 @ SV585 @ SV781 @ SV970 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2098]) ).

thf(2282,plain,
    ! [SV1146: $i,SV971: $i,SV782: $i,SV586: $i,SV382: $i,SV160: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SV971 )
        = $true )
      | ( ( ~ ( c_Objects_Ohext @ SV1146 @ SV382 )
          | ~ ( c_WellTypeRT_OWTrt @ SV160 @ SV1146 @ SV586 @ SV782 @ SV971 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2099]) ).

thf(2283,plain,
    ! [SV1291: $i,SV1147: $i,SV972: $i,SV783: $i,SV587: $i,SV383: $i,SV161: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SV783 @ SV972 @ SV1147 @ ( c_Type_Oty_OClass @ SV1291 ) @ t_a ) ) )
        | ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SV1147 @ SV1291 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2100]) ).

thf(2284,plain,
    ! [SV1292: $i,SV1148: $i,SV973: $i,SV784: $i,SV588: $i,SV384: $i,SV162: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SV784 @ SV973 @ SV1148 @ ( c_Type_Oty_OClass @ SV1292 ) @ t_a ) ) )
        | ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SV1148 @ SV1292 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2101]) ).

thf(2285,plain,
    ! [SV1293: $i,SV1149: $i,SV974: $i,SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ! [SY5859: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1293 )
            | ~ ( c_TypeRel_Ohas__field @ SV165 @ SY5859 @ SV974 @ SV1293 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SY5859 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2103]) ).

thf(2286,plain,
    ! [SV1294: $i,SV1150: $i,SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ! [SY5860: $i,SY5861: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
             != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SY5860 @ SV168 @ SV389 @ SV786 )
              = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SY5861 @ SV591 @ SV389 @ SV786 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2104]) ).

thf(2287,plain,
    ! [SV1295: $i,SV1151: $i,SV976: $i,SV787: $i,SV592: $i,SV390: $i,SV170: $i] :
      ( ( ! [SY5862: $i] :
            ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SV787 @ SV976 )
           != ( c_Expr_Oexp_OFAcc @ SV1151 @ SV1295 @ SY5862 @ SV976 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2105]) ).

thf(2288,plain,
    ! [SV1296: $i,SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY5863: $i,SY5864: $i,SY5865: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SY5863 @ SV172 @ SV392 @ SV789 )
              = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SY5864 @ SY5865 @ SV594 @ SV392 @ SV789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2107]) ).

thf(2289,plain,
    ! [SV979: $i,SV790: $i,SV595: $i,SV393: $i,SV173: $i] :
      ( ( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV393 @ SV595 )
          = ( c_Expr_Oexp_OSeq @ SV790 @ SV979 @ SV595 ) )
        = $false )
      | ( ( SV393 = SV979 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2108]) ).

thf(2290,plain,
    ! [SV1153: $i,SV980: $i,SV791: $i,SV596: $i,SV394: $i,SV174: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV174 @ SV394 @ SV596 )
        = ( c_Expr_Oexp_OFAcc @ SV791 @ SV980 @ SV1153 @ SV596 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2109]) ).

thf(2291,plain,
    ! [SV1154: $i,SV981: $i,SV792: $i,SV597: $i,SV395: $i,SV175: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV175 @ SV395 @ SV597 @ SV792 @ SV981 )
        = ( c_Expr_Oexp_Onew @ SV1154 @ SV981 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2110]) ).

thf(2292,plain,
    ! [SV1297: $i,SV1155: $i,SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ! [SY5866: $i,SY5867: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
             != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SV1297 @ SY5866 @ SV177 @ SV397 @ SV794 )
              = ( c_Type_Oty_Oty__case @ SY5867 @ SV1155 @ SV1297 @ SY5866 @ SV599 @ SV397 @ SV794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2112]) ).

thf(2293,plain,
    ! [SV1298: $i,SV1156: $i,SV984: $i,SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ! [SY5868: $i] :
            ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
             != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
            | ( ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SY5868 @ SV178 @ SV398 @ SV795 )
              = ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SY5868 @ SV600 @ SV398 @ SV795 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2113]) ).

thf(2294,plain,
    ! [SV1299: $i,SV1157: $i,SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ! [SY5869: $i,SY5870: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
             != ( c_Expr_Oexp_OFAss @ SV1157 @ SV1299 @ SY5869 @ SY5870 @ SV985 ) )
            | ( SV179 = SV1157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2114]) ).

thf(2295,plain,
    ! [SV1300: $i,SV1158: $i,SV986: $i,SV797: $i,SV602: $i,SV400: $i,SV180: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SV602 )
       != ( c_Expr_Oexp_OFAss @ SV797 @ SV986 @ SV1158 @ SV1300 @ SV602 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2115]) ).

thf(2296,plain,
    ! [SV987: $i,SV798: $i,SV603: $i,SV401: $i,SV181: $i] :
      ( ( ( ( c_Expr_Oexp_OCast @ SV181 @ SV401 @ SV603 )
          = ( c_Expr_Oexp_OCast @ SV798 @ SV987 @ SV603 ) )
        = $false )
      | ( ( SV401 = SV987 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2116]) ).

thf(2297,plain,
    ! [SV1301: $i,SV1159: $i,SV988: $i,SV799: $i,SV604: $i,SV402: $i,SV182: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SV799 )
         != ( c_Expr_Oexp_OFAcc @ SV988 @ SV1159 @ SV1301 @ SV799 ) )
        | ( SV604 = SV1301 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2117]) ).

thf(2298,plain,
    ! [SV1160: $i,SV989: $i,SV800: $i,SV605: $i,SV403: $i,SV183: $i] :
      ( ( ( ( c_Pair @ SV183 @ SV403 @ SV605 @ SV800 )
         != ( c_Pair @ SV989 @ SV1160 @ SV605 @ SV800 ) )
        = $true )
      | ( ( SV183 = SV989 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2118]) ).

thf(2299,plain,
    ! [SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY5871: $i,SY5872: $i,SY5873: $i,SY5874: $i,SY5875: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SY5871 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SY5872 @ SY5873 @ SY5874 @ SY5875 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2119]) ).

thf(2300,plain,
    ! [SV1162: $i,SV992: $i,SV804: $i,SV609: $i,SV407: $i,SV188: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV188 @ SV407 @ SV609 )
        = ( c_Expr_Oexp_OFAcc @ SV804 @ SV992 @ SV1162 @ SV609 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2121]) ).

thf(2301,plain,
    ! [SV1163: $i,SV993: $i,SV805: $i,SV610: $i,SV408: $i,SV189: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV189 @ SV408 @ SV610 @ SV805 )
        = ( c_Expr_Oexp_OSeq @ SV993 @ SV1163 @ SV805 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2122]) ).

thf(2302,plain,
    ! [SV1303: $i,SV1164: $i,SV994: $i,SV807: $i,SV612: $i,SV410: $i,SV191: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SV612 @ SV807 @ SV994 )
       != ( c_Expr_Oexp_OCast @ SV1164 @ SV1303 @ SV994 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2123]) ).

thf(2303,plain,
    ! [SV1304: $i,SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY5876: $i,SY5877: $i,SY5878: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SY5876 @ SV193 @ SV412 @ SV808 )
              = ( c_Type_Oty_Oty__case @ SV995 @ SY5877 @ SY5878 @ SY5876 @ SV614 @ SV412 @ SV808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2124]) ).

thf(2304,plain,
    ! [SV1305: $i,SV1166: $i,SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ! [SY5879: $i,SY5880: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
             != ( c_Expr_Oexp_OFAss @ SV1166 @ SV1305 @ SY5879 @ SY5880 @ SV996 ) )
            | ( SV413 = SV1305 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2125]) ).

thf(2305,plain,
    ! [SV1167: $i,SV997: $i,SV810: $i,SV616: $i,SV414: $i,SV195: $i] :
      ( ( ( c_Expr_Oexp_Onew @ SV195 @ SV414 )
        = ( c_Expr_Oexp_OFAss @ SV616 @ SV810 @ SV997 @ SV1167 @ SV414 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2126]) ).

thf(2306,plain,
    ! [SV1306: $i,SV1168: $i,SV998: $i,SV811: $i,SV617: $i,SV415: $i,SV196: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SV811 )
         != ( c_Expr_Oexp_OFAcc @ SV998 @ SV1168 @ SV1306 @ SV811 ) )
        | ( SV415 = SV1168 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2127]) ).

thf(2307,plain,
    ! [SV1307: $i,SV1169: $i,SV999: $i,SV812: $i,SV618: $i,SV416: $i,SV197: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SV618 @ SV812 @ SV999 )
       != ( c_Expr_Oexp_OSeq @ SV1169 @ SV1307 @ SV999 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2128]) ).

thf(2308,plain,
    ! [SV1308: $i,SV1170: $i,SV1000: $i,SV813: $i,SV619: $i,SV417: $i,SV198: $i] :
      ( ( ! [SY5881: $i] :
            ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SV813 )
           != ( c_Expr_Oexp_OFAss @ SV1000 @ SV1170 @ SV1308 @ SY5881 @ SV813 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2129]) ).

thf(2309,plain,
    ! [SV1309: $i,SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY5882: $i,SY5883: $i,SY5884: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SY5882 @ SV199 @ SV418 @ SV814 )
              = ( c_Type_Oty_Oty__case @ SY5883 @ SV1171 @ SV1309 @ SY5884 @ SV620 @ SV418 @ SV814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2130]) ).

thf(2310,plain,
    ! [SV1310: $i,SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY5885: $i,SY5886: $i,SY5887: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SY5885 @ SV200 @ SV419 @ SV815 )
              = ( c_Type_Oty_Oty__case @ SV1002 @ SY5886 @ SV1310 @ SY5887 @ SV621 @ SV419 @ SV815 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2131]) ).

thf(2311,plain,
    ! [SV1311: $i,SV1173: $i,SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ! [SY5888: $i,SY5889: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
             != ( c_Expr_Oexp_OFAss @ SV1173 @ SV1311 @ SY5888 @ SY5889 @ SV1003 ) )
            | ( SV816 = SY5889 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2132]) ).

thf(2312,plain,
    ! [SV1312: $i,SV1174: $i,SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ! [SY5890: $i,SY5891: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
             != ( c_Expr_Oexp_OFAss @ SV1174 @ SV1312 @ SY5890 @ SY5891 @ SV1004 ) )
            | ( SV623 = SY5890 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2133]) ).

thf(2313,plain,
    ! [SV1005: $i,SV818: $i,SV624: $i,SV422: $i,SV204: $i] :
      ( ( ( ( c_Expr_Oexp_OCast @ SV204 @ SV422 @ SV624 )
          = ( c_Expr_Oexp_OCast @ SV818 @ SV1005 @ SV624 ) )
        = $false )
      | ( ( SV204 = SV818 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2134]) ).

thf(2314,plain,
    ! [SV1313: $i,SV1175: $i,SV1006: $i,SV819: $i,SV625: $i,SV423: $i,SV206: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SV819 )
         != ( c_Expr_Oexp_OFAcc @ SV1006 @ SV1175 @ SV1313 @ SV819 ) )
        | ( SV206 = SV1006 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2135]) ).

thf(2315,plain,
    ! [SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY5892: $i,SY5893: $i,SY5894: $i,SY5895: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SY5892 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SV1007 @ SY5893 @ SY5894 @ SY5895 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2136]) ).

thf(2316,plain,
    ! [SV1177: $i,SV1008: $i,SV821: $i,SV627: $i,SV425: $i,SV209: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV209 @ SV425 @ SV627 @ SV821 )
        = ( c_Expr_Oexp_OCast @ SV1008 @ SV1177 @ SV821 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2137]) ).

thf(2317,plain,
    ! [SV1315: $i,SV1178: $i,SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ! [SY5896: $i,SY5897: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
             != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SV1315 @ SY5896 @ SV211 @ SV426 @ SV822 )
              = ( c_Type_Oty_Oty__case @ SV1009 @ SY5897 @ SV1315 @ SY5896 @ SV628 @ SV426 @ SV822 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2138]) ).

thf(2318,plain,
    ! [SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY5898: $i,SY5899: $i,SY5900: $i,SY5901: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SY5898 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SY5899 @ SY5900 @ SV1316 @ SY5901 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2139]) ).

thf(2319,plain,
    ! [SV1317: $i,SV1180: $i,SV1011: $i,SV825: $i,SV631: $i,SV430: $i,SV216: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SV631 )
       != ( c_Expr_Oexp_OFAss @ SV825 @ SV1011 @ SV1180 @ SV1317 @ SV631 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2140]) ).

thf(2320,plain,
    ! [SV1012: $i,SV826: $i,SV632: $i,SV431: $i,SV217: $i] :
      ( ( ( ( c_Expr_Oexp_OSeq @ SV217 @ SV431 @ SV632 )
          = ( c_Expr_Oexp_OSeq @ SV826 @ SV1012 @ SV632 ) )
        = $false )
      | ( ( SV217 = SV826 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2141]) ).

thf(2321,plain,
    ! [SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY5902: $i,SY5903: $i,SY5904: $i,SY5905: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SY5902 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SY5903 @ SY5904 @ SY5905 @ SY5902 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2142]) ).

thf(2322,plain,
    ! [SV1182: $i,SV1014: $i,SV829: $i,SV635: $i,SV434: $i,SV221: $i] :
      ( ( ( ( c_Pair @ SV221 @ SV434 @ SV635 @ SV829 )
         != ( c_Pair @ SV1014 @ SV1182 @ SV635 @ SV829 ) )
        = $true )
      | ( ( SV434 = SV1182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2143]) ).

thf(2323,plain,
    ! [SV1319: $i,SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY5906: $i,SY5907: $i,SY5908: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SY5906 @ SV222 @ SV435 @ SV830 )
              = ( c_Type_Oty_Oty__case @ SY5907 @ SV1183 @ SY5908 @ SY5906 @ SV636 @ SV435 @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2144]) ).

thf(2324,plain,
    ! [SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY5909: $i,SY5910: $i,SY5911: $i,SY5912: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SY5909 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SY5910 @ SV1184 @ SY5911 @ SY5912 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2145]) ).

thf(2325,plain,
    ! [SV1321: $i,SV1185: $i,SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ! [SY5913: $i,SY5914: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
             != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1321 @ SY5913 @ SV224 @ SV437 @ SV832 )
              = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SY5914 @ SY5913 @ SV638 @ SV437 @ SV832 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2146]) ).

thf(2326,plain,
    ! [SV1322: $i,SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY5915: $i,SY5916: $i,SY5917: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SY5915 @ SV225 @ SV438 @ SV833 )
              = ( c_Type_Oty_Oty__case @ SY5916 @ SY5917 @ SV1322 @ SY5915 @ SV639 @ SV438 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2147]) ).

thf(2327,plain,
    ! [SV1323: $i,SV1187: $i,SV1020: $i,SV835: $i,SV641: $i,SV440: $i,SV227: $i,SV1: $i] :
      ( ( ( SV1 = c_Type_Oty_OVoid )
        | ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SV1187 @ SV641 @ ( c_Expr_Oexp_OFAss @ SV1020 @ SV835 @ SV440 @ SV1323 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2149]) ).

thf(2328,plain,
    ! [SV1324: $i,SV1188: $i,SV1021: $i,SV836: $i,SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
        | ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV1021 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SV1021 @ SV836 @ SV1188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1324 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2150]) ).

thf(2329,plain,
    ! [SV1022: $i,SV643: $i,SV837: $i,SV442: $i,SV229: $i,SV3: $i] :
      ( ( ( c_WellType_OWT @ SV3 @ SV229 @ ( c_Expr_Oexp_OFAcc @ SV442 @ SV837 @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1022 )
        = $false )
      | ( ( c_WellType_OWT @ SV3 @ SV229 @ SV442 @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV643 @ SV229 @ SV837 @ SV3 @ SV1022 @ SV442 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2151]) ).

thf(2330,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2152]) ).

thf(2331,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2153]) ).

thf(2332,plain,
    ! [SV1189: $i,SV1023: $i,SV838: $i,SV644: $i,SV443: $i,SV232: $i,SV8: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV838 @ SV443 @ SV1023 @ SV8 @ SV1189 @ SV644 @ SV232 ) @ SV1023 @ SV1189 @ SV838 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SV1023 @ SV838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1189 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2154]) ).

thf(2333,plain,
    ! [SV1190: $i,SV1024: $i,SV839: $i,SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV839 @ SV444 @ SV1024 @ SV9 @ SV1190 @ SV645 @ SV233 ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SV1024 @ SV839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1190 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2155]) ).

thf(2334,plain,
    ! [SV1325: $i,SV1191: $i,SV1025: $i,SV840: $i,SV646: $i,SV445: $i,SV234: $i,SV10: $i] :
      ( ( ( SV10 = c_Type_Oty_OVoid )
        | ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1025 @ SV646 @ SV1191 @ SV234 @ SV840 @ SV445 @ SV1325 ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SV1191 @ SV1025 @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2156]) ).

thf(2335,plain,
    ! [SV1326: $i,SV1192: $i,SV1026: $i,SV841: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
        | ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SV1026 @ SV11 @ SV647 @ SV235 @ SV1192 ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SV1026 @ SV841 @ SV1192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1326 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2157]) ).

thf(2336,plain,
    ! [SV1193: $i,SV1027: $i,SV842: $i,SV648: $i,SV447: $i,SV236: $i,SV12: $i] :
      ( ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1027 )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV12 @ SV1193 @ SV648 @ SV1027 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SV1193 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2158]) ).

thf(2337,plain,
    ! [SV843: $i,SV237: $i,SV649: $i,SV448: $i,SV1028: $i,SV13: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV13 @ SV1028 @ SV448 @ SV649 @ SV237 @ SV843 )
        = $false )
      | ( ( c_TypeRel_Osees__field @ SV13 @ SV237 @ SV448 @ SV649 @ SV237 @ SV843 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2159]) ).

thf(2338,plain,
    ! [SV1029: $i,SV844: $i,SV650: $i,SV449: $i,SV238: $i,SV14: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SV1029 )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV14 @ SV238 @ SV449 @ SV650 @ SV844 @ SV1029 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2160]) ).

thf(2339,plain,
    ! [SV845: $i,SV239: $i,SV651: $i,SV1030: $i,SV450: $i,SV15: $i] :
      ( ( ( c_WellType_OWT @ SV15 @ SV450 @ ( c_Expr_Oexp_OFAcc @ SV1030 @ SV651 @ SV239 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV845 )
        = $false )
      | ( ( c_TypeRel_Osees__field @ SV15 @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ SV239 @ SV450 @ SV651 @ SV15 @ SV845 @ SV1030 ) @ SV651 @ SV845 @ SV239 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2161]) ).

thf(2340,plain,
    ! [SV1327: $i,SV1194: $i,SV1031: $i,SV846: $i,SV652: $i,SV451: $i,SV240: $i,SV16: $i] :
      ( ( ( SV16 = SV240 )
        | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SV1194 )
        | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SV1327 @ SV1194 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2162]) ).

thf(2341,plain,
    ! [SV1328: $i,SV1195: $i,SV1032: $i,SV847: $i,SV653: $i,SV452: $i,SV241: $i,SV17: $i] :
      ( ( ( SV17 = SV241 )
        | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SV1195 )
        | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1328 @ SV241 @ SV1195 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2163]) ).

thf(2342,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2164]) ).

thf(2343,plain,
    ! [SV1329: $i,SV1196: $i,SV1033: $i,SV848: $i,SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ! [SY5918: $i] :
            ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
            | ~ ( c_TypeRel_Osees__field @ SV19 @ SY5918 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SY5918 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2165]) ).

thf(2344,plain,
    ! [SV1197: $i,SV1034: $i,SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV20: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) )
          | ( SV1197 = c_Type_Oty_ONT )
          | ( SV1197 = c_Type_Oty_OInteger )
          | ( SV1197 = c_Type_Oty_OBoolean )
          | ( SV1197 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2166]) ).

thf(2345,plain,
    ! [SV1198: $i,SV1035: $i,SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV21: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) )
          | ( SV1198 = c_Type_Oty_ONT )
          | ( SV1198 = c_Type_Oty_OInteger )
          | ( SV1198 = c_Type_Oty_OBoolean )
          | ( SV1198 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2167]) ).

thf(2346,plain,
    ! [SV1199: $i,SV1036: $i,SV851: $i,SV657: $i,SV456: $i,SV246: $i,SV22: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        = $true )
      | ( ( ( SV1199
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
          | ( SV1199 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
          | ( SV1199 = c_Type_Oty_OBoolean )
          | ( SV1199 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2168]) ).

thf(2347,plain,
    ! [SV1200: $i,SV1037: $i,SV852: $i,SV658: $i,SV457: $i,SV247: $i,SV23: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        = $true )
      | ( ( ( SV1200
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
          | ( SV1200 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
          | ( SV1200 = c_Type_Oty_OBoolean )
          | ( SV1200 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2169]) ).

thf(2348,plain,
    ! [SV1330: $i,SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY5919: $i,SY5920: $i,SY5921: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
              = ( c_Type_Oty_Oty__case @ SV1330 @ SY5919 @ SV659 @ SY5920 @ SY5921 @ SV24 @ SV1201 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SY5921 @ SV1201 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2170]) ).

thf(2349,plain,
    ! [SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY5922: $i,SY5923: $i,SY5924: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
              = ( c_Type_Oty_Oty__case @ SV1331 @ SY5922 @ SY5923 @ SV854 @ SY5924 @ SV25 @ SV1202 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SY5924 @ SV1202 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2171]) ).

thf(2350,plain,
    ! [SV1203: $i,SV1040: $i,SV855: $i,SV661: $i,SV460: $i,SV250: $i,SV26: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        = $true )
      | ( ( ( SV1203
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
          | ( SV1203 = c_Type_Oty_OInteger )
          | ( SV1203 = c_Type_Oty_OBoolean )
          | ( SV1203 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2172]) ).

thf(2351,plain,
    ! [SV1204: $i,SV1041: $i,SV856: $i,SV662: $i,SV461: $i,SV251: $i,SV27: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        = $true )
      | ( ( ( SV1204
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
          | ( SV1204 = c_Type_Oty_OInteger )
          | ( SV1204 = c_Type_Oty_OBoolean )
          | ( SV1204 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2173]) ).

thf(2352,plain,
    ! [SV1205: $i,SV1042: $i,SV857: $i,SV663: $i,SV462: $i,SV252: $i,SV28: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        = $true )
      | ( ( ( SV1205
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
          | ( SV1205 = c_Type_Oty_ONT )
          | ( SV1205 = c_Type_Oty_OInteger )
          | ( SV1205 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2174]) ).

thf(2353,plain,
    ! [SV1332: $i,SV1206: $i,SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY5925: $i,SY5926: $i,SY5927: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SY5925 @ SY5926 @ SY5927 @ SV1043 @ SV1206 ) )
            | ( SV1043
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SY5927 @ SV1206 ) ) )
            | ( SV1043 = c_Type_Oty_ONT )
            | ( SV1043 = c_Type_Oty_OInteger )
            | ( SV1043 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2175]) ).

thf(2354,plain,
    ! [SV1207: $i,SV1044: $i,SV859: $i,SV665: $i,SV464: $i,SV254: $i,SV30: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        = $true )
      | ( ( ( SV1207
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
          | ( SV1207 = c_Type_Oty_ONT )
          | ( SV1207 = c_Type_Oty_OInteger )
          | ( SV1207 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2176]) ).

thf(2355,plain,
    ! [SV1208: $i,SV1045: $i,SV860: $i,SV666: $i,SV465: $i,SV255: $i,SV31: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        = $true )
      | ( ( ( SV1208
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
          | ( SV1208 = c_Type_Oty_ONT )
          | ( SV1208 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
          | ( SV1208 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2177]) ).

thf(2356,plain,
    ! [SV1209: $i,SV1046: $i,SV861: $i,SV667: $i,SV466: $i,SV256: $i,SV32: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        = $true )
      | ( ( ( SV1209
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
          | ( SV1209 = c_Type_Oty_ONT )
          | ( SV1209 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
          | ( SV1209 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2178]) ).

thf(2357,plain,
    ! [SV1333: $i,SV1210: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY5928: $i,SY5929: $i,SY5930: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
              = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SY5928 @ SY5929 @ SY5930 @ SV33 @ SV1210 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SY5930 @ SV1210 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2179]) ).

thf(2358,plain,
    ! [SV1211: $i,SV1048: $i,SV863: $i,SV669: $i,SV468: $i,SV258: $i,SV34: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
          | ( SV1211 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
          | ( SV1211 = c_Type_Oty_OBoolean )
          | ( SV1211 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2180]) ).

thf(2359,plain,
    ! [SV1212: $i,SV1049: $i,SV864: $i,SV670: $i,SV469: $i,SV259: $i,SV35: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
          | ( SV1212 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
          | ( SV1212 = c_Type_Oty_OBoolean )
          | ( SV1212 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2181]) ).

thf(2360,plain,
    ! [SV1213: $i,SV1050: $i,SV865: $i,SV671: $i,SV470: $i,SV260: $i,SV36: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
          | ( SV1213 = c_Type_Oty_OInteger )
          | ( SV1213 = c_Type_Oty_OBoolean )
          | ( SV1213 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2182]) ).

thf(2361,plain,
    ! [SV1214: $i,SV1051: $i,SV866: $i,SV672: $i,SV471: $i,SV261: $i,SV37: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
          | ( SV1214 = c_Type_Oty_OInteger )
          | ( SV1214 = c_Type_Oty_OBoolean )
          | ( SV1214 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2183]) ).

thf(2362,plain,
    ! [SV1215: $i,SV1052: $i,SV867: $i,SV673: $i,SV472: $i,SV262: $i,SV38: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
          | ( SV1215 = c_Type_Oty_ONT )
          | ( SV1215 = c_Type_Oty_OInteger )
          | ( SV1215 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2184]) ).

thf(2363,plain,
    ! [SV1216: $i,SV1053: $i,SV868: $i,SV674: $i,SV473: $i,SV263: $i,SV39: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
          | ( SV1216 = c_Type_Oty_ONT )
          | ( SV1216 = c_Type_Oty_OInteger )
          | ( SV1216 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2185]) ).

thf(2364,plain,
    ! [SV1217: $i,SV1054: $i,SV869: $i,SV675: $i,SV474: $i,SV264: $i,SV40: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
          | ( SV1217 = c_Type_Oty_ONT )
          | ( SV1217 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
          | ( SV1217 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2186]) ).

thf(2365,plain,
    ! [SV1218: $i,SV1055: $i,SV870: $i,SV676: $i,SV475: $i,SV265: $i,SV41: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
          | ( SV1218 = c_Type_Oty_ONT )
          | ( SV1218 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
          | ( SV1218 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2187]) ).

thf(2366,plain,
    ! [SV1334: $i,SV1219: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY5931: $i,SY5932: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
              = ( c_Type_Oty_Oty__case @ SV1334 @ SY5931 @ SV677 @ SV871 @ SY5932 @ SV42 @ SV1219 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SY5932 @ SV1219 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2188]) ).

thf(2367,plain,
    ! [SV1220: $i,SV1057: $i,SV872: $i,SV678: $i,SV477: $i,SV267: $i,SV43: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true )
      | ( ( ( SV1220
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
          | ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
          | ( SV1220 = c_Type_Oty_OBoolean )
          | ( SV1220 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2189]) ).

thf(2368,plain,
    ! [SV1221: $i,SV1058: $i,SV873: $i,SV679: $i,SV478: $i,SV268: $i,SV44: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true )
      | ( ( ( SV1221
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
          | ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
          | ( SV1221 = c_Type_Oty_OBoolean )
          | ( SV1221 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2190]) ).

thf(2369,plain,
    ! [SV1222: $i,SV1059: $i,SV874: $i,SV680: $i,SV479: $i,SV269: $i,SV45: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true )
      | ( ( ( SV1222
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
          | ( SV1222 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
          | ( SV1222 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2191]) ).

thf(2370,plain,
    ! [SV1335: $i,SV1223: $i,SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY5933: $i,SY5934: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SV1335 @ SV681 @ SY5933 @ SY5934 @ SV46 @ SV1223 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SY5934 @ SV1223 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2192]) ).

thf(2371,plain,
    ! [SV1224: $i,SV1061: $i,SV876: $i,SV682: $i,SV481: $i,SV271: $i,SV47: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true )
      | ( ( ( SV1224
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
          | ( SV1224 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
          | ( SV1224 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2193]) ).

thf(2372,plain,
    ! [SV1225: $i,SV1062: $i,SV877: $i,SV683: $i,SV482: $i,SV272: $i,SV48: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true )
      | ( ( ( SV1225
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
          | ( SV1225 = c_Type_Oty_OInteger )
          | ( SV1225 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2194]) ).

thf(2373,plain,
    ! [SV1336: $i,SV1226: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY5935: $i,SY5936: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SV1336 @ SY5935 @ SV878 @ SY5936 @ SV49 @ SV1226 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SY5936 @ SV1226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2195]) ).

thf(2374,plain,
    ! [SV1227: $i,SV1064: $i,SV879: $i,SV685: $i,SV484: $i,SV274: $i,SV50: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true )
      | ( ( ( SV1227
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
          | ( SV1227 = c_Type_Oty_OInteger )
          | ( SV1227 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2196]) ).

thf(2375,plain,
    ! [SV1228: $i,SV1065: $i,SV880: $i,SV686: $i,SV485: $i,SV275: $i,SV51: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true )
      | ( ( ( SV1228
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
          | ( SV1228 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
          | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
          | ( SV1228 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2197]) ).

thf(2376,plain,
    ! [SV1229: $i,SV1066: $i,SV881: $i,SV687: $i,SV486: $i,SV276: $i,SV52: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true )
      | ( ( ( SV1229
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
          | ( SV1229 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
          | ( SV1229 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2198]) ).

thf(2377,plain,
    ! [SV1337: $i,SV1230: $i,SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY5937: $i,SY5938: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
              = ( c_Type_Oty_Oty__case @ SV1337 @ SV487 @ SV688 @ SY5937 @ SY5938 @ SV53 @ SV1230 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SY5938 @ SV1230 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2199]) ).

thf(2378,plain,
    ! [SV1338: $i,SV1231: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY5939: $i,SY5940: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
              = ( c_Type_Oty_Oty__case @ SV1338 @ SV488 @ SY5939 @ SV883 @ SY5940 @ SV54 @ SV1231 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SY5940 @ SV1231 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2200]) ).

thf(2379,plain,
    ! [SV1232: $i,SV1069: $i,SV884: $i,SV690: $i,SV489: $i,SV279: $i,SV55: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true )
      | ( ( ( SV1232
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
          | ( SV1232 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
          | ( SV1232 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2201]) ).

thf(2380,plain,
    ! [SV1233: $i,SV1070: $i,SV885: $i,SV691: $i,SV490: $i,SV280: $i,SV56: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true )
      | ( ( ( SV1233
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
          | ( SV1233 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
          | ( SV1233 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2202]) ).

thf(2381,plain,
    ! [SV1234: $i,SV1071: $i,SV886: $i,SV692: $i,SV491: $i,SV281: $i,SV57: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true )
      | ( ( ( SV1234
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
          | ( SV1234 = c_Type_Oty_ONT )
          | ( SV1234 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2203]) ).

thf(2382,plain,
    ! [SV1339: $i,SV1235: $i,SV1072: $i,SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY5941: $i,SY5942: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV1339 @ SY5941 @ SY5942 @ SV1072 @ SV1235 ) )
            | ( SV1072
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SY5942 @ SV1235 ) ) )
            | ( SV1072 = c_Type_Oty_ONT )
            | ( SV1072 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2204]) ).

thf(2383,plain,
    ! [SV1236: $i,SV1073: $i,SV888: $i,SV694: $i,SV493: $i,SV283: $i,SV59: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true )
      | ( ( ( SV1236
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
          | ( SV1236 = c_Type_Oty_ONT )
          | ( SV1236 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2205]) ).

thf(2384,plain,
    ! [SV1237: $i,SV1074: $i,SV889: $i,SV695: $i,SV494: $i,SV284: $i,SV60: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
          | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
          | ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2206]) ).

thf(2385,plain,
    ! [SV1238: $i,SV1075: $i,SV890: $i,SV696: $i,SV495: $i,SV285: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
          | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
          | ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2207]) ).

thf(2386,plain,
    ! [SV1239: $i,SV1076: $i,SV891: $i,SV697: $i,SV496: $i,SV286: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
          | ( SV1239 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
          | ( SV1239 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2208]) ).

thf(2387,plain,
    ! [SV1240: $i,SV1077: $i,SV892: $i,SV698: $i,SV497: $i,SV287: $i,SV63: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
          | ( SV1240 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
          | ( SV1240 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2209]) ).

thf(2388,plain,
    ! [SV1241: $i,SV1078: $i,SV893: $i,SV699: $i,SV498: $i,SV288: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
          | ( SV1241 = c_Type_Oty_OInteger )
          | ( SV1241 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2210]) ).

thf(2389,plain,
    ! [SV1242: $i,SV1079: $i,SV894: $i,SV700: $i,SV499: $i,SV289: $i,SV65: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
          | ( SV1242 = c_Type_Oty_OInteger )
          | ( SV1242 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2211]) ).

thf(2390,plain,
    ! [SV1243: $i,SV1080: $i,SV895: $i,SV701: $i,SV500: $i,SV290: $i,SV66: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
          | ( SV1243 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
          | ( SV1243 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2212]) ).

thf(2391,plain,
    ! [SV1244: $i,SV1081: $i,SV896: $i,SV702: $i,SV501: $i,SV291: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
          | ( SV1244 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
          | ( SV1244 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2213]) ).

thf(2392,plain,
    ! [SV1245: $i,SV1082: $i,SV897: $i,SV703: $i,SV502: $i,SV292: $i,SV68: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
          | ( SV1245 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
          | ( SV1245 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2214]) ).

thf(2393,plain,
    ! [SV1246: $i,SV1083: $i,SV898: $i,SV704: $i,SV503: $i,SV293: $i,SV69: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
          | ( SV1246 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
          | ( SV1246 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2215]) ).

thf(2394,plain,
    ! [SV1247: $i,SV1084: $i,SV899: $i,SV705: $i,SV504: $i,SV294: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
          | ( SV1247 = c_Type_Oty_ONT )
          | ( SV1247 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2216]) ).

thf(2395,plain,
    ! [SV1248: $i,SV1085: $i,SV900: $i,SV706: $i,SV505: $i,SV295: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
          | ( SV1248 = c_Type_Oty_ONT )
          | ( SV1248 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2217]) ).

thf(2396,plain,
    ! [SV1249: $i,SV1086: $i,SV901: $i,SV707: $i,SV506: $i,SV296: $i,SV72: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true )
      | ( ( ( SV1249
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
          | ( SV1249 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2218]) ).

thf(2397,plain,
    ! [SV1340: $i,SV1250: $i,SV1087: $i,SV902: $i,SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ! [SY5943: $i] :
            ( ( SV73 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SV1087 @ SV73 @ SV1250 )
              = ( c_Type_Oty_Oty__case @ SV297 @ SV1340 @ SV708 @ SV902 @ SY5943 @ SV73 @ SV1250 ) )
            | ( SV73
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SV1087 @ SY5943 @ SV1250 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2219]) ).

thf(2398,plain,
    ! [SV1251: $i,SV1088: $i,SV903: $i,SV709: $i,SV508: $i,SV298: $i,SV74: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true )
      | ( ( ( SV1251
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
          | ( SV1251 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2220]) ).

thf(2399,plain,
    ! [SV1341: $i,SV1252: $i,SV1089: $i,SV904: $i,SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ! [SY5944: $i] :
            ( ( SV75 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SV1089 @ SV75 @ SV1252 )
              = ( c_Type_Oty_Oty__case @ SV1341 @ SV509 @ SV710 @ SV904 @ SY5944 @ SV75 @ SV1252 ) )
            | ( SV75
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SV1089 @ SY5944 @ SV1252 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2221]) ).

thf(2400,plain,
    ! [SV1253: $i,SV1090: $i,SV905: $i,SV711: $i,SV510: $i,SV300: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true )
      | ( ( ( SV1253
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
          | ( SV1253 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2222]) ).

thf(2401,plain,
    ! [SV1254: $i,SV1091: $i,SV906: $i,SV712: $i,SV511: $i,SV301: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true )
      | ( ( ( SV1254
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
          | ( SV1254 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2223]) ).

thf(2402,plain,
    ! [SV1255: $i,SV1092: $i,SV907: $i,SV713: $i,SV512: $i,SV302: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true )
      | ( ( ( SV1255
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
          | ( SV1255 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2224]) ).

thf(2403,plain,
    ! [SV1342: $i,SV1256: $i,SV1093: $i,SV908: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ! [SY5945: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SV1093 @ SV1256 )
              = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV1342 @ SY5945 @ SV1093 @ SV1256 ) )
            | ( SV1093
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1093 @ SV908 @ SY5945 @ SV1256 ) ) )
            | ( SV1093 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2225]) ).

thf(2404,plain,
    ! [SV1257: $i,SV1094: $i,SV909: $i,SV715: $i,SV514: $i,SV304: $i,SV80: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true )
      | ( ( ( SV1257
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
          | ( SV1257 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2226]) ).

thf(2405,plain,
    ! [SV1258: $i,SV1095: $i,SV910: $i,SV716: $i,SV515: $i,SV305: $i,SV81: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true )
      | ( ( ( SV1258
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
          | ( SV1258 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2227]) ).

thf(2406,plain,
    ! [SV1343: $i,SV1259: $i,SV1096: $i,SV911: $i,SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ! [SY5946: $i] :
            ( ( SV82 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SV1096 @ SV82 @ SV1259 )
              = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV1343 @ SV911 @ SY5946 @ SV82 @ SV1259 ) )
            | ( SV82
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SV1096 @ SY5946 @ SV1259 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2228]) ).

thf(2407,plain,
    ! [SV1260: $i,SV1097: $i,SV912: $i,SV718: $i,SV517: $i,SV307: $i,SV83: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true )
      | ( ( ( SV1260
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
          | ( SV1260 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2229]) ).

thf(2408,plain,
    ! [SV1261: $i,SV1098: $i,SV913: $i,SV719: $i,SV518: $i,SV308: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
          | ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2230]) ).

thf(2409,plain,
    ! [SV1262: $i,SV1099: $i,SV914: $i,SV720: $i,SV519: $i,SV309: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
          | ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2231]) ).

thf(2410,plain,
    ! [SV1263: $i,SV1100: $i,SV915: $i,SV721: $i,SV520: $i,SV310: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2232]) ).

thf(2411,plain,
    ! [SV1264: $i,SV1101: $i,SV916: $i,SV722: $i,SV521: $i,SV311: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2233]) ).

thf(2412,plain,
    ! [SV1265: $i,SV1102: $i,SV917: $i,SV723: $i,SV522: $i,SV312: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
          | ( SV1265 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2234]) ).

thf(2413,plain,
    ! [SV1266: $i,SV1103: $i,SV918: $i,SV724: $i,SV523: $i,SV313: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
          | ( SV1266 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2235]) ).

thf(2414,plain,
    ! [SV1267: $i,SV1104: $i,SV919: $i,SV725: $i,SV524: $i,SV314: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
          | ( SV1267 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2236]) ).

thf(2415,plain,
    ! [SV1268: $i,SV1105: $i,SV920: $i,SV726: $i,SV525: $i,SV315: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
          | ( SV1268 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2237]) ).

thf(2416,plain,
    ! [SV1269: $i,SV1106: $i,SV921: $i,SV727: $i,SV527: $i,SV317: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true )
      | ( ( ( SV1269
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2238]) ).

thf(2417,plain,
    ! [SV1344: $i,SV1270: $i,SV1107: $i,SV922: $i,SV728: $i,SV528: $i,SV318: $i,SV94: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV922 @ SV1107 @ SV1270 )
          = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV1344 @ SV1107 @ SV1270 ) )
        | ( SV1107
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1107 @ SV922 @ SV1344 @ SV1270 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2239]) ).

thf(2418,plain,
    ! [SV1271: $i,SV1108: $i,SV923: $i,SV729: $i,SV529: $i,SV319: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true )
      | ( ( ( SV1271
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2240]) ).

thf(2419,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV730: $i,SV530: $i,SV320: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2241]) ).

thf(2420,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV731: $i,SV531: $i,SV321: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2242]) ).

thf(2421,plain,
    ! [SV323: $i,SV732: $i,SV533: $i,SV926: $i,SV99: $i] :
      ( ( ( c_TypeRel_Owiden @ SV99 @ SV926 @ SV533 @ SV732 )
        = $false )
      | ( ( ~ ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV926 @ SV732 ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SV732 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2243]) ).

thf(2422,plain,
    ! [SV1345: $i,SV1274: $i,SV1111: $i,SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY5947: $i,SY5948: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SY5947 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY5948 @ SV927 @ SY5947 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SY5948 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2244]) ).

thf(2423,plain,
    ! [SV1346: $i,SV1275: $i,SV1112: $i,SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY5949: $i,SY5950: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SY5949 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY5950 @ SV928 @ SY5949 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SY5950 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2245]) ).

thf(2424,plain,
    ! [SV1347: $i,SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY5951: $i,SY5952: $i,SY5953: $i,SY5954: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
              = ( c_Type_Oty_Oty__case @ SV1347 @ SY5951 @ SY5952 @ SY5953 @ SY5954 @ SV1113 @ SV1276 ) )
            | ( SV1113
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SY5954 @ SV1276 ) ) )
            | ( SV1113 = c_Type_Oty_ONT )
            | ( SV1113 = c_Type_Oty_OInteger )
            | ( SV1113 = c_Type_Oty_OBoolean )
            | ( SV1113 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2246]) ).

thf(2425,plain,
    ! [SV1277: $i,SV1114: $i,SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV103: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SV1277 @ t_a ) ) )
        = $true )
      | ( ( ( SV1277
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SV1277 ) ) )
          | ( SV1277 = c_Type_Oty_ONT )
          | ( SV1277 = c_Type_Oty_OInteger )
          | ( SV1277 = c_Type_Oty_OBoolean )
          | ( SV1277 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2247]) ).

thf(2426,plain,
    ! [SV1278: $i,SV1115: $i,SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV104: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SV1278 @ t_a ) ) )
        = $true )
      | ( ( ( SV1278
            = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SV1278 ) ) )
          | ( SV1278 = c_Type_Oty_ONT )
          | ( SV1278 = c_Type_Oty_OInteger )
          | ( SV1278 = c_Type_Oty_OBoolean )
          | ( SV1278 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2248]) ).

thf(2427,plain,
    ! [SV1116: $i,SV932: $i,SV738: $i,SV539: $i,SV332: $i,SV109: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV109 @ ( c_Type_Oty_Oty__case @ SV332 @ SV539 @ SV738 @ SV932 @ SV1116 @ c_Type_Oty_OVoid @ t_a ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV109 @ SV332 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2249]) ).

thf(2428,plain,
    ! [SV1117: $i,SV933: $i,SV739: $i,SV540: $i,SV333: $i,SV110: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV110 @ ( c_Type_Oty_Oty__case @ SV333 @ SV540 @ SV739 @ SV933 @ SV1117 @ c_Type_Oty_OBoolean @ t_a ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV110 @ SV540 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2250]) ).

thf(2429,plain,
    ! [SV1279: $i,SV1119: $i,SV935: $i,SV741: $i,SV542: $i,SV335: $i,SV112: $i] :
      ( ( ( SV112 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SV741 @ SV935 @ SV1119 @ SV1279 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2251]) ).

thf(2430,plain,
    ! [SV1348: $i,SV1280: $i,SV1120: $i,SV936: $i,SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1280 )
        | ~ ( c_TypeRel_Ohas__field @ SV115 @ SV1348 @ SV936 @ SV1280 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SV1348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2253]) ).

thf(2431,plain,
    ! [SV1349: $i,SV1281: $i,SV1122: $i,SV938: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
        | ( SV938 = c_Type_Oty_OVoid )
        | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SV1122 @ SV1281 @ SV1349 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2254]) ).

thf(2432,plain,
    ! [SV939: $i,SV547: $i,SV341: $i,SV1123: $i,SV745: $i,SV119: $i] :
      ( ( ( ~ ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_Type_Ois__refT @ SV1123 )
          | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2255]) ).

thf(2433,plain,
    ! [SV942: $i,SV551: $i,SV345: $i,SV1126: $i,SV749: $i,SV123: $i] :
      ( ( ( ~ ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_Type_Ois__refT @ SV1126 )
          | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2256]) ).

thf(2434,plain,
    ! [SV125: $i,SV750: $i,SV553: $i,SV347: $i,SV943: $i] :
      ( ( ( c_Map_Omap__le @ SV943 @ SV347 @ SV553 @ SV750 )
        = $false )
      | ( ( ~ ( c_Map_Omap__le @ SV125 @ SV943 @ SV553 @ SV750 ) )
        = $true )
      | ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SV750 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2257]) ).

thf(2435,plain,
    ! [SV751: $i,SV554: $i,SV126: $i,SV348: $i,SV944: $i] :
      ( ( ( c_Map_Omap__le @ SV944 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
        = $false )
      | ( ( ~ ( c_WellType_OWT @ SV126 @ SV944 @ SV554 @ SV751 ) )
        = $true )
      | ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SV751 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2258]) ).

thf(2436,plain,
    ! [SV1282: $i,SV1127: $i,SV948: $i,SV755: $i,SV559: $i,SV353: $i,SV131: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SV755 @ SV948 @ SV1127 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1282 )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SV755 @ c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2262]) ).

thf(2437,plain,
    ! [SV1283: $i,SV1128: $i,SV949: $i,SV756: $i,SV560: $i,SV354: $i,SV132: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SV756 @ SV949 @ SV1128 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1283 )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SV756 @ c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2263]) ).

thf(2438,plain,
    ! [SV1129: $i,SV950: $i,SV757: $i,SV561: $i,SV355: $i,SV133: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV133 @ ( c_Type_Oty_Oty__case @ SV355 @ SV561 @ SV757 @ SV950 @ SV1129 @ c_Type_Oty_ONT @ t_a ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV133 @ SV950 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2264]) ).

thf(2439,plain,
    ! [SV759: $i,SV563: $i,SV357: $i,SV135: $i] :
      ( ( ( c_Map_Omap__le @ SV135 @ SV357 @ SV563 @ SV759 )
        = $false )
      | ( ( c_Map_Omap__le @ SV357 @ SV135 @ SV563 @ SV759 )
        = $false )
      | ( ( SV135 = SV357 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2265]) ).

thf(2440,plain,
    ! [SV1350: $i,SV1284: $i,SV1131: $i,SV952: $i,SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ( SV136 = c_Type_Oty_OVoid )
        | ( SV136 = c_Type_Oty_OVoid )
        | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SV1131 @ SV1284 @ SV1350 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2266]) ).

thf(2441,plain,
    ! [SV1132: $i,SV953: $i,SV761: $i,SV565: $i,SV359: $i,SV137: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV137 @ ( c_Type_Oty_Oty__case @ SV359 @ SV565 @ SV761 @ SV953 @ SV1132 @ c_Type_Oty_OInteger @ t_a ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV137 @ SV761 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2267]) ).

thf(2442,plain,
    ! [SV1351: $i,SV1285: $i,SV1133: $i,SV954: $i,SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SV1285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV1285 @ SV1351 )
        | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2268]) ).

thf(2443,plain,
    ! [SV1286: $i,SV1134: $i,SV955: $i,SV765: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1134 )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SV1134 )
          | ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SV1286 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2269]) ).

thf(2444,plain,
    ! [SV1137: $i,SV572: $i,SV958: $i,SV768: $i,SV366: $i,SV144: $i] :
      ( ( ( ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SV958 ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SV1137 ) )
        = $true )
      | ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV958 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2270]) ).

thf(2445,plain,
    ! [SV1352: $i,SV1287: $i,SV1139: $i,SV960: $i,SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SV1287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV1287 @ SV1352 )
        | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2271]) ).

thf(2446,plain,
    ! [SV1140: $i,SV961: $i,SV369: $i,SV771: $i,SV575: $i,SV147: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV147 @ SV575 @ SV771 @ ( c_Expr_Oexp_OCast @ SV369 @ SV961 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1140 )
        = $false )
      | ( ( c_Decl_Ois__class @ SV147 @ SV369 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2272]) ).

thf(2447,plain,
    ! [SV148: $i,SV1141: $i,SV370: $i,SV962: $i,SV772: $i,SV576: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV576 @ SV772 @ SV962 @ ( c_Expr_Oexp_OCast @ SV370 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV148 )
        = $false )
      | ( ( SV148
          = ( c_Type_Oty_OClass @ SV370 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2273]) ).

thf(2448,plain,
    ! [SV1289: $i,SV1143: $i,SV964: $i,SV774: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1143 )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SV1143 )
          | ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SV1289 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2275]) ).

thf(2449,plain,
    ! [SV966: $i,SV777: $i,SV376: $i,SV154: $i,SV581: $i,SV1144: $i] :
      ( ( ( ~ ( c_Map_Omap__le @ SV1144 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV1144 @ SV777 @ SV966 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SV966 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2277]) ).

thf(2450,plain,
    ! [SV971: $i,SV782: $i,SV586: $i,SV160: $i,SV382: $i,SV1146: $i] :
      ( ( ( ~ ( c_Objects_Ohext @ SV1146 @ SV382 ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV160 @ SV1146 @ SV586 @ SV782 @ SV971 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SV971 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2282]) ).

thf(2451,plain,
    ! [SV1291: $i,SV1147: $i,SV972: $i,SV783: $i,SV587: $i,SV383: $i,SV161: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SV783 @ SV972 @ SV1147 @ ( c_Type_Oty_OClass @ SV1291 ) @ t_a ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SV1147 @ SV1291 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2283]) ).

thf(2452,plain,
    ! [SV1292: $i,SV1148: $i,SV973: $i,SV784: $i,SV588: $i,SV384: $i,SV162: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SV784 @ SV973 @ SV1148 @ ( c_Type_Oty_OClass @ SV1292 ) @ t_a ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SV1148 @ SV1292 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2284]) ).

thf(2453,plain,
    ! [SV1353: $i,SV1293: $i,SV1149: $i,SV974: $i,SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1293 )
        | ~ ( c_TypeRel_Ohas__field @ SV165 @ SV1353 @ SV974 @ SV1293 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SV1353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2285]) ).

thf(2454,plain,
    ! [SV1354: $i,SV1294: $i,SV1150: $i,SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ! [SY5955: $i] :
            ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
             != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
            | ( SV389 = c_Type_Oty_ONT )
            | ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1354 @ SV168 @ SV389 @ SV786 )
              = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SY5955 @ SV591 @ SV389 @ SV786 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2286]) ).

thf(2455,plain,
    ! [SV1355: $i,SV1295: $i,SV1151: $i,SV976: $i,SV787: $i,SV592: $i,SV390: $i,SV170: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SV787 @ SV976 )
       != ( c_Expr_Oexp_OFAcc @ SV1151 @ SV1295 @ SV1355 @ SV976 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2287]) ).

thf(2456,plain,
    ! [SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY5956: $i,SY5957: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
              = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SY5956 @ SY5957 @ SV594 @ SV392 @ SV789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2288]) ).

thf(2457,plain,
    ! [SV1357: $i,SV1297: $i,SV1155: $i,SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ! [SY5958: $i] :
            ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
             != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
            | ( SV397 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SV1297 @ SV1357 @ SV177 @ SV397 @ SV794 )
              = ( c_Type_Oty_Oty__case @ SY5958 @ SV1155 @ SV1297 @ SV1357 @ SV599 @ SV397 @ SV794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2292]) ).

thf(2458,plain,
    ! [SV1358: $i,SV1298: $i,SV1156: $i,SV984: $i,SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
         != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
        | ( ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SV1358 @ SV178 @ SV398 @ SV795 )
          = ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SV1358 @ SV600 @ SV398 @ SV795 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2293]) ).

thf(2459,plain,
    ! [SV1359: $i,SV1299: $i,SV1157: $i,SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ! [SY5959: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
             != ( c_Expr_Oexp_OFAss @ SV1157 @ SV1299 @ SV1359 @ SY5959 @ SV985 ) )
            | ( SV179 = SV1157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2294]) ).

thf(2460,plain,
    ! [SV1300: $i,SV1158: $i,SV986: $i,SV797: $i,SV602: $i,SV400: $i,SV180: $i] :
      ( ( ( c_Expr_Oexp_OCast @ SV180 @ SV400 @ SV602 )
        = ( c_Expr_Oexp_OFAss @ SV797 @ SV986 @ SV1158 @ SV1300 @ SV602 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2295]) ).

thf(2461,plain,
    ! [SV1301: $i,SV1159: $i,SV988: $i,SV799: $i,SV604: $i,SV402: $i,SV182: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SV799 )
         != ( c_Expr_Oexp_OFAcc @ SV988 @ SV1159 @ SV1301 @ SV799 ) )
        = $true )
      | ( ( SV604 = SV1301 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2297]) ).

thf(2462,plain,
    ! [SV1160: $i,SV989: $i,SV800: $i,SV605: $i,SV403: $i,SV183: $i] :
      ( ( ( ( c_Pair @ SV183 @ SV403 @ SV605 @ SV800 )
          = ( c_Pair @ SV989 @ SV1160 @ SV605 @ SV800 ) )
        = $false )
      | ( ( SV183 = SV989 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2298]) ).

thf(2463,plain,
    ! [SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY5960: $i,SY5961: $i,SY5962: $i,SY5963: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SY5960 @ SY5961 @ SY5962 @ SY5963 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2299]) ).

thf(2464,plain,
    ! [SV1303: $i,SV1164: $i,SV994: $i,SV807: $i,SV612: $i,SV410: $i,SV191: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV191 @ SV410 @ SV612 @ SV807 @ SV994 )
        = ( c_Expr_Oexp_OCast @ SV1164 @ SV1303 @ SV994 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2302]) ).

thf(2465,plain,
    ! [SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY5964: $i,SY5965: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
              = ( c_Type_Oty_Oty__case @ SV995 @ SY5964 @ SY5965 @ SV1361 @ SV614 @ SV412 @ SV808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2303]) ).

thf(2466,plain,
    ! [SV1362: $i,SV1305: $i,SV1166: $i,SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ! [SY5966: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
             != ( c_Expr_Oexp_OFAss @ SV1166 @ SV1305 @ SV1362 @ SY5966 @ SV996 ) )
            | ( SV413 = SV1305 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2304]) ).

thf(2467,plain,
    ! [SV1306: $i,SV1168: $i,SV998: $i,SV811: $i,SV617: $i,SV415: $i,SV196: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SV811 )
         != ( c_Expr_Oexp_OFAcc @ SV998 @ SV1168 @ SV1306 @ SV811 ) )
        = $true )
      | ( ( SV415 = SV1168 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2306]) ).

thf(2468,plain,
    ! [SV1307: $i,SV1169: $i,SV999: $i,SV812: $i,SV618: $i,SV416: $i,SV197: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV197 @ SV416 @ SV618 @ SV812 @ SV999 )
        = ( c_Expr_Oexp_OSeq @ SV1169 @ SV1307 @ SV999 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2307]) ).

thf(2469,plain,
    ! [SV1363: $i,SV1308: $i,SV1170: $i,SV1000: $i,SV813: $i,SV619: $i,SV417: $i,SV198: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SV813 )
       != ( c_Expr_Oexp_OFAss @ SV1000 @ SV1170 @ SV1308 @ SV1363 @ SV813 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2308]) ).

thf(2470,plain,
    ! [SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY5967: $i,SY5968: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
              = ( c_Type_Oty_Oty__case @ SY5967 @ SV1171 @ SV1309 @ SY5968 @ SV620 @ SV418 @ SV814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2309]) ).

thf(2471,plain,
    ! [SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY5969: $i,SY5970: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
              = ( c_Type_Oty_Oty__case @ SV1002 @ SY5969 @ SV1310 @ SY5970 @ SV621 @ SV419 @ SV815 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2310]) ).

thf(2472,plain,
    ! [SV1366: $i,SV1311: $i,SV1173: $i,SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ! [SY5971: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
             != ( c_Expr_Oexp_OFAss @ SV1173 @ SV1311 @ SV1366 @ SY5971 @ SV1003 ) )
            | ( SV816 = SY5971 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2311]) ).

thf(2473,plain,
    ! [SV1367: $i,SV1312: $i,SV1174: $i,SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ! [SY5972: $i] :
            ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
             != ( c_Expr_Oexp_OFAss @ SV1174 @ SV1312 @ SV1367 @ SY5972 @ SV1004 ) )
            | ( SV623 = SV1367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2312]) ).

thf(2474,plain,
    ! [SV1313: $i,SV1175: $i,SV1006: $i,SV819: $i,SV625: $i,SV423: $i,SV206: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SV819 )
         != ( c_Expr_Oexp_OFAcc @ SV1006 @ SV1175 @ SV1313 @ SV819 ) )
        = $true )
      | ( ( SV206 = SV1006 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2314]) ).

thf(2475,plain,
    ! [SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY5973: $i,SY5974: $i,SY5975: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SV1007 @ SY5973 @ SY5974 @ SY5975 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2315]) ).

thf(2476,plain,
    ! [SV1369: $i,SV1315: $i,SV1178: $i,SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ! [SY5976: $i] :
            ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
             != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
            | ( SV426 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SV1315 @ SV1369 @ SV211 @ SV426 @ SV822 )
              = ( c_Type_Oty_Oty__case @ SV1009 @ SY5976 @ SV1315 @ SV1369 @ SV628 @ SV426 @ SV822 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2317]) ).

thf(2477,plain,
    ! [SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY5977: $i,SY5978: $i,SY5979: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SY5977 @ SY5978 @ SV1316 @ SY5979 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2318]) ).

thf(2478,plain,
    ! [SV1317: $i,SV1180: $i,SV1011: $i,SV825: $i,SV631: $i,SV430: $i,SV216: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ SV216 @ SV430 @ SV631 )
        = ( c_Expr_Oexp_OFAss @ SV825 @ SV1011 @ SV1180 @ SV1317 @ SV631 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2319]) ).

thf(2479,plain,
    ! [SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY5980: $i,SY5981: $i,SY5982: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SY5980 @ SY5981 @ SY5982 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2321]) ).

thf(2480,plain,
    ! [SV1182: $i,SV1014: $i,SV829: $i,SV635: $i,SV434: $i,SV221: $i] :
      ( ( ( ( c_Pair @ SV221 @ SV434 @ SV635 @ SV829 )
          = ( c_Pair @ SV1014 @ SV1182 @ SV635 @ SV829 ) )
        = $false )
      | ( ( SV434 = SV1182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2322]) ).

thf(2481,plain,
    ! [SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY5983: $i,SY5984: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
              = ( c_Type_Oty_Oty__case @ SY5983 @ SV1183 @ SY5984 @ SV1372 @ SV636 @ SV435 @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2323]) ).

thf(2482,plain,
    ! [SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY5985: $i,SY5986: $i,SY5987: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SY5985 @ SV1184 @ SY5986 @ SY5987 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2324]) ).

thf(2483,plain,
    ! [SV1374: $i,SV1321: $i,SV1185: $i,SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ! [SY5988: $i] :
            ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
             != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
            | ( SV437 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1321 @ SV1374 @ SV224 @ SV437 @ SV832 )
              = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SY5988 @ SV1374 @ SV638 @ SV437 @ SV832 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2325]) ).

thf(2484,plain,
    ! [SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY5989: $i,SY5990: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
              = ( c_Type_Oty_Oty__case @ SY5989 @ SY5990 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2326]) ).

thf(2485,plain,
    ! [SV1323: $i,SV1187: $i,SV1020: $i,SV835: $i,SV641: $i,SV440: $i,SV227: $i,SV1: $i] :
      ( ( ( SV1 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV227 @ SV1187 @ SV641 @ ( c_Expr_Oexp_OFAss @ SV1020 @ SV835 @ SV440 @ SV1323 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2327]) ).

thf(2486,plain,
    ! [SV1324: $i,SV1188: $i,SV1021: $i,SV836: $i,SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV1021 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SV1021 @ SV836 @ SV1188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2328]) ).

thf(2487,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2330]) ).

thf(2488,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2331]) ).

thf(2489,plain,
    ! [SV232: $i,SV644: $i,SV1189: $i,SV1023: $i,SV443: $i,SV838: $i,SV8: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV838 @ SV443 @ SV1023 @ SV8 @ SV1189 @ SV644 @ SV232 ) @ SV1023 @ SV1189 @ SV838 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SV1023 @ SV838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1189 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2332]) ).

thf(2490,plain,
    ! [SV1190: $i,SV1024: $i,SV839: $i,SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV839 @ SV444 @ SV1024 @ SV9 @ SV1190 @ SV645 @ SV233 ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SV1024 @ SV839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1190 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2333]) ).

thf(2491,plain,
    ! [SV1325: $i,SV1191: $i,SV1025: $i,SV840: $i,SV646: $i,SV445: $i,SV234: $i,SV10: $i] :
      ( ( ( SV10 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1025 @ SV646 @ SV1191 @ SV234 @ SV840 @ SV445 @ SV1325 ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SV1191 @ SV1025 @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2334]) ).

thf(2492,plain,
    ! [SV1326: $i,SV1192: $i,SV1026: $i,SV841: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SV1026 @ SV11 @ SV647 @ SV235 @ SV1192 ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SV1026 @ SV841 @ SV1192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1326 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2335]) ).

thf(2493,plain,
    ! [SV447: $i,SV236: $i,SV842: $i,SV1027: $i,SV648: $i,SV1193: $i,SV12: $i] :
      ( ( ( ~ ( c_TypeRel_Osees__field @ SV12 @ SV1193 @ SV648 @ SV1027 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SV1193 ) ) )
        = $true )
      | ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1027 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2336]) ).

thf(2494,plain,
    ! [SV1327: $i,SV1194: $i,SV1031: $i,SV846: $i,SV652: $i,SV451: $i,SV240: $i,SV16: $i] :
      ( ( ( SV16 = SV240 )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SV1194 )
          | ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SV1327 @ SV1194 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2340]) ).

thf(2495,plain,
    ! [SV1328: $i,SV1195: $i,SV1032: $i,SV847: $i,SV653: $i,SV452: $i,SV241: $i,SV17: $i] :
      ( ( ( SV17 = SV241 )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SV1195 )
          | ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1328 @ SV241 @ SV1195 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2341]) ).

thf(2496,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
          | ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2342]) ).

thf(2497,plain,
    ! [SV1376: $i,SV1329: $i,SV1196: $i,SV1033: $i,SV848: $i,SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        | ~ ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
        | ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2343]) ).

thf(2498,plain,
    ! [SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV1197: $i,SV1034: $i,SV20: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) ) )
        = $true )
      | ( ( ( SV1197 = c_Type_Oty_ONT )
          | ( SV1197 = c_Type_Oty_OInteger )
          | ( SV1197 = c_Type_Oty_OBoolean )
          | ( SV1197 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2344]) ).

thf(2499,plain,
    ! [SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV1198: $i,SV1035: $i,SV21: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) ) )
        = $true )
      | ( ( ( SV1198 = c_Type_Oty_ONT )
          | ( SV1198 = c_Type_Oty_OInteger )
          | ( SV1198 = c_Type_Oty_OBoolean )
          | ( SV1198 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2345]) ).

thf(2500,plain,
    ! [SV851: $i,SV456: $i,SV246: $i,SV657: $i,SV1036: $i,SV22: $i,SV1199: $i] :
      ( ( ( SV1199
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
        = $true )
      | ( ( ( SV1199 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
          | ( SV1199 = c_Type_Oty_OBoolean )
          | ( SV1199 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2346]) ).

thf(2501,plain,
    ! [SV852: $i,SV457: $i,SV247: $i,SV658: $i,SV1037: $i,SV23: $i,SV1200: $i] :
      ( ( ( SV1200
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
        = $true )
      | ( ( ( SV1200 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
          | ( SV1200 = c_Type_Oty_OBoolean )
          | ( SV1200 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2347]) ).

thf(2502,plain,
    ! [SV1377: $i,SV1330: $i,SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY5991: $i,SY5992: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
              = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SY5991 @ SY5992 @ SV24 @ SV1201 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SY5992 @ SV1201 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2348]) ).

thf(2503,plain,
    ! [SV1378: $i,SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY5993: $i,SY5994: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
              = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SY5993 @ SV854 @ SY5994 @ SV25 @ SV1202 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SY5994 @ SV1202 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2349]) ).

thf(2504,plain,
    ! [SV661: $i,SV460: $i,SV250: $i,SV855: $i,SV1040: $i,SV26: $i,SV1203: $i] :
      ( ( ( SV1203
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
          | ( SV1203 = c_Type_Oty_OInteger )
          | ( SV1203 = c_Type_Oty_OBoolean )
          | ( SV1203 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2350]) ).

thf(2505,plain,
    ! [SV662: $i,SV461: $i,SV251: $i,SV856: $i,SV1041: $i,SV27: $i,SV1204: $i] :
      ( ( ( SV1204
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
          | ( SV1204 = c_Type_Oty_OInteger )
          | ( SV1204 = c_Type_Oty_OBoolean )
          | ( SV1204 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2351]) ).

thf(2506,plain,
    ! [SV857: $i,SV663: $i,SV462: $i,SV252: $i,SV1042: $i,SV28: $i,SV1205: $i] :
      ( ( ( SV1205
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
        = $true )
      | ( ( ( SV1205 = c_Type_Oty_ONT )
          | ( SV1205 = c_Type_Oty_OInteger )
          | ( SV1205 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2352]) ).

thf(2507,plain,
    ! [SV1379: $i,SV1332: $i,SV1206: $i,SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY5995: $i,SY5996: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SY5995 @ SY5996 @ SV1043 @ SV1206 ) )
            | ( SV1043
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SY5996 @ SV1206 ) ) )
            | ( SV1043 = c_Type_Oty_ONT )
            | ( SV1043 = c_Type_Oty_OInteger )
            | ( SV1043 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2353]) ).

thf(2508,plain,
    ! [SV859: $i,SV665: $i,SV464: $i,SV254: $i,SV1044: $i,SV30: $i,SV1207: $i] :
      ( ( ( SV1207
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
        = $true )
      | ( ( ( SV1207 = c_Type_Oty_ONT )
          | ( SV1207 = c_Type_Oty_OInteger )
          | ( SV1207 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2354]) ).

thf(2509,plain,
    ! [SV860: $i,SV666: $i,SV255: $i,SV465: $i,SV1045: $i,SV31: $i,SV1208: $i] :
      ( ( ( SV1208
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
        = $true )
      | ( ( ( SV1208 = c_Type_Oty_ONT )
          | ( SV1208 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
          | ( SV1208 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2355]) ).

thf(2510,plain,
    ! [SV861: $i,SV667: $i,SV256: $i,SV466: $i,SV1046: $i,SV32: $i,SV1209: $i] :
      ( ( ( SV1209
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
        = $true )
      | ( ( ( SV1209 = c_Type_Oty_ONT )
          | ( SV1209 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
          | ( SV1209 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2356]) ).

thf(2511,plain,
    ! [SV1380: $i,SV1333: $i,SV1210: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY5997: $i,SY5998: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
              = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SY5997 @ SY5998 @ SV33 @ SV1210 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SY5998 @ SV1210 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2357]) ).

thf(2512,plain,
    ! [SV863: $i,SV468: $i,SV258: $i,SV669: $i,SV1211: $i,SV1048: $i,SV34: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) ) )
        = $true )
      | ( ( ( SV1211 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
          | ( SV1211 = c_Type_Oty_OBoolean )
          | ( SV1211 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2358]) ).

thf(2513,plain,
    ! [SV864: $i,SV469: $i,SV259: $i,SV670: $i,SV1212: $i,SV1049: $i,SV35: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) ) )
        = $true )
      | ( ( ( SV1212 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
          | ( SV1212 = c_Type_Oty_OBoolean )
          | ( SV1212 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2359]) ).

thf(2514,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV865: $i,SV1213: $i,SV1050: $i,SV36: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
          | ( SV1213 = c_Type_Oty_OInteger )
          | ( SV1213 = c_Type_Oty_OBoolean )
          | ( SV1213 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2360]) ).

thf(2515,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV866: $i,SV1214: $i,SV1051: $i,SV37: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
          | ( SV1214 = c_Type_Oty_OInteger )
          | ( SV1214 = c_Type_Oty_OBoolean )
          | ( SV1214 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2361]) ).

thf(2516,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV262: $i,SV1215: $i,SV1052: $i,SV38: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) ) )
        = $true )
      | ( ( ( SV1215 = c_Type_Oty_ONT )
          | ( SV1215 = c_Type_Oty_OInteger )
          | ( SV1215 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2362]) ).

thf(2517,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV263: $i,SV1216: $i,SV1053: $i,SV39: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) ) )
        = $true )
      | ( ( ( SV1216 = c_Type_Oty_ONT )
          | ( SV1216 = c_Type_Oty_OInteger )
          | ( SV1216 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2363]) ).

thf(2518,plain,
    ! [SV869: $i,SV675: $i,SV264: $i,SV474: $i,SV1217: $i,SV1054: $i,SV40: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) ) )
        = $true )
      | ( ( ( SV1217 = c_Type_Oty_ONT )
          | ( SV1217 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
          | ( SV1217 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2364]) ).

thf(2519,plain,
    ! [SV870: $i,SV676: $i,SV265: $i,SV475: $i,SV1218: $i,SV1055: $i,SV41: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) ) )
        = $true )
      | ( ( ( SV1218 = c_Type_Oty_ONT )
          | ( SV1218 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
          | ( SV1218 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2365]) ).

thf(2520,plain,
    ! [SV1381: $i,SV1334: $i,SV1219: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ! [SY5999: $i] :
            ( ( SV42 = c_Type_Oty_OBoolean )
            | ( SV42 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
              = ( c_Type_Oty_Oty__case @ SV1334 @ SV1381 @ SV677 @ SV871 @ SY5999 @ SV42 @ SV1219 ) )
            | ( SV42
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SY5999 @ SV1219 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2366]) ).

thf(2521,plain,
    ! [SV477: $i,SV267: $i,SV678: $i,SV872: $i,SV1057: $i,SV43: $i,SV1220: $i] :
      ( ( ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
          | ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
          | ( SV1220 = c_Type_Oty_OBoolean )
          | ( SV1220 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2367]) ).

thf(2522,plain,
    ! [SV478: $i,SV268: $i,SV679: $i,SV873: $i,SV1058: $i,SV44: $i,SV1221: $i] :
      ( ( ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
          | ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
          | ( SV1221 = c_Type_Oty_OBoolean )
          | ( SV1221 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2368]) ).

thf(2523,plain,
    ! [SV874: $i,SV479: $i,SV269: $i,SV680: $i,SV1059: $i,SV45: $i,SV1222: $i] :
      ( ( ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        = $true )
      | ( ( ( SV1222 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
          | ( SV1222 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2369]) ).

thf(2524,plain,
    ! [SV1382: $i,SV1335: $i,SV1223: $i,SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ! [SY6000: $i] :
            ( ( SV46 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
              = ( c_Type_Oty_Oty__case @ SV270 @ SV1335 @ SV681 @ SV1382 @ SY6000 @ SV46 @ SV1223 ) )
            | ( SV46
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SY6000 @ SV1223 ) ) )
            | ( SV46 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2370]) ).

thf(2525,plain,
    ! [SV876: $i,SV481: $i,SV271: $i,SV682: $i,SV1061: $i,SV47: $i,SV1224: $i] :
      ( ( ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        = $true )
      | ( ( ( SV1224 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
          | ( SV1224 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2371]) ).

thf(2526,plain,
    ! [SV683: $i,SV482: $i,SV272: $i,SV877: $i,SV1062: $i,SV48: $i,SV1225: $i] :
      ( ( ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
          | ( SV1225 = c_Type_Oty_OInteger )
          | ( SV1225 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2372]) ).

thf(2527,plain,
    ! [SV1383: $i,SV1336: $i,SV1226: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ! [SY6001: $i] :
            ( ( SV49 = c_Type_Oty_OInteger )
            | ( SV49 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
              = ( c_Type_Oty_Oty__case @ SV273 @ SV1336 @ SV1383 @ SV878 @ SY6001 @ SV49 @ SV1226 ) )
            | ( SV49
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SY6001 @ SV1226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2373]) ).

thf(2528,plain,
    ! [SV685: $i,SV484: $i,SV274: $i,SV879: $i,SV1064: $i,SV50: $i,SV1227: $i] :
      ( ( ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
          | ( SV1227 = c_Type_Oty_OInteger )
          | ( SV1227 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2374]) ).

thf(2529,plain,
    ! [SV880: $i,SV275: $i,SV485: $i,SV686: $i,SV1065: $i,SV51: $i,SV1228: $i] :
      ( ( ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        = $true )
      | ( ( ( SV1228 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
          | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
          | ( SV1228 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2375]) ).

thf(2530,plain,
    ! [SV881: $i,SV276: $i,SV486: $i,SV687: $i,SV1066: $i,SV52: $i,SV1229: $i] :
      ( ( ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        = $true )
      | ( ( ( SV1229 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
          | ( SV1229 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2376]) ).

thf(2531,plain,
    ! [SV1384: $i,SV1337: $i,SV1230: $i,SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ! [SY6002: $i] :
            ( ( SV53 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
              = ( c_Type_Oty_Oty__case @ SV1337 @ SV487 @ SV688 @ SV1384 @ SY6002 @ SV53 @ SV1230 ) )
            | ( SV53
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SY6002 @ SV1230 ) ) )
            | ( SV53 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2377]) ).

thf(2532,plain,
    ! [SV1385: $i,SV1338: $i,SV1231: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ! [SY6003: $i] :
            ( ( SV54 = c_Type_Oty_OInteger )
            | ( SV54 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
              = ( c_Type_Oty_Oty__case @ SV1338 @ SV488 @ SV1385 @ SV883 @ SY6003 @ SV54 @ SV1231 ) )
            | ( SV54
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SY6003 @ SV1231 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2378]) ).

thf(2533,plain,
    ! [SV690: $i,SV279: $i,SV489: $i,SV884: $i,SV1069: $i,SV55: $i,SV1232: $i] :
      ( ( ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
          | ( SV1232 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
          | ( SV1232 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2379]) ).

thf(2534,plain,
    ! [SV691: $i,SV280: $i,SV490: $i,SV885: $i,SV1070: $i,SV56: $i,SV1233: $i] :
      ( ( ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
          | ( SV1233 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
          | ( SV1233 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2380]) ).

thf(2535,plain,
    ! [SV886: $i,SV692: $i,SV281: $i,SV491: $i,SV1071: $i,SV57: $i,SV1234: $i] :
      ( ( ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        = $true )
      | ( ( ( SV1234 = c_Type_Oty_ONT )
          | ( SV1234 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2381]) ).

thf(2536,plain,
    ! [SV1386: $i,SV1339: $i,SV1235: $i,SV1072: $i,SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ! [SY6004: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
              = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV1339 @ SV1386 @ SY6004 @ SV1072 @ SV1235 ) )
            | ( SV1072
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SY6004 @ SV1235 ) ) )
            | ( SV1072 = c_Type_Oty_ONT )
            | ( SV1072 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2382]) ).

thf(2537,plain,
    ! [SV888: $i,SV694: $i,SV283: $i,SV493: $i,SV1073: $i,SV59: $i,SV1236: $i] :
      ( ( ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        = $true )
      | ( ( ( SV1236 = c_Type_Oty_ONT )
          | ( SV1236 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2383]) ).

thf(2538,plain,
    ! [SV494: $i,SV284: $i,SV695: $i,SV889: $i,SV1237: $i,SV1074: $i,SV60: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
          | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
          | ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2384]) ).

thf(2539,plain,
    ! [SV495: $i,SV285: $i,SV696: $i,SV890: $i,SV1238: $i,SV1075: $i,SV61: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
          | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
          | ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2385]) ).

thf(2540,plain,
    ! [SV891: $i,SV496: $i,SV286: $i,SV697: $i,SV1239: $i,SV1076: $i,SV62: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) ) )
        = $true )
      | ( ( ( SV1239 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
          | ( SV1239 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2386]) ).

thf(2541,plain,
    ! [SV892: $i,SV497: $i,SV287: $i,SV698: $i,SV1240: $i,SV1077: $i,SV63: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) ) )
        = $true )
      | ( ( ( SV1240 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
          | ( SV1240 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2387]) ).

thf(2542,plain,
    ! [SV699: $i,SV498: $i,SV288: $i,SV893: $i,SV1241: $i,SV1078: $i,SV64: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
          | ( SV1241 = c_Type_Oty_OInteger )
          | ( SV1241 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2388]) ).

thf(2543,plain,
    ! [SV700: $i,SV499: $i,SV289: $i,SV894: $i,SV1242: $i,SV1079: $i,SV65: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
          | ( SV1242 = c_Type_Oty_OInteger )
          | ( SV1242 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2389]) ).

thf(2544,plain,
    ! [SV895: $i,SV290: $i,SV500: $i,SV701: $i,SV1243: $i,SV1080: $i,SV66: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) ) )
        = $true )
      | ( ( ( SV1243 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
          | ( SV1243 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2390]) ).

thf(2545,plain,
    ! [SV896: $i,SV291: $i,SV501: $i,SV702: $i,SV1244: $i,SV1081: $i,SV67: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) ) )
        = $true )
      | ( ( ( SV1244 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
          | ( SV1244 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2391]) ).

thf(2546,plain,
    ! [SV703: $i,SV292: $i,SV502: $i,SV897: $i,SV1245: $i,SV1082: $i,SV68: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
          | ( SV1245 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
          | ( SV1245 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2392]) ).

thf(2547,plain,
    ! [SV704: $i,SV293: $i,SV503: $i,SV898: $i,SV1246: $i,SV1083: $i,SV69: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
          | ( SV1246 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
          | ( SV1246 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2393]) ).

thf(2548,plain,
    ! [SV899: $i,SV705: $i,SV294: $i,SV504: $i,SV1247: $i,SV1084: $i,SV70: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) ) )
        = $true )
      | ( ( ( SV1247 = c_Type_Oty_ONT )
          | ( SV1247 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2394]) ).

thf(2549,plain,
    ! [SV900: $i,SV706: $i,SV295: $i,SV505: $i,SV1248: $i,SV1085: $i,SV71: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) ) )
        = $true )
      | ( ( ( SV1248 = c_Type_Oty_ONT )
          | ( SV1248 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2395]) ).

thf(2550,plain,
    ! [SV506: $i,SV296: $i,SV707: $i,SV901: $i,SV1086: $i,SV72: $i,SV1249: $i] :
      ( ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
          | ( SV1249 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2396]) ).

thf(2551,plain,
    ! [SV1387: $i,SV1340: $i,SV1250: $i,SV1087: $i,SV902: $i,SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ( SV73 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SV1087 @ SV73 @ SV1250 )
          = ( c_Type_Oty_Oty__case @ SV297 @ SV1340 @ SV708 @ SV902 @ SV1387 @ SV73 @ SV1250 ) )
        | ( SV73
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SV1087 @ SV1387 @ SV1250 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2397]) ).

thf(2552,plain,
    ! [SV508: $i,SV298: $i,SV709: $i,SV903: $i,SV1088: $i,SV74: $i,SV1251: $i] :
      ( ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
          | ( SV1251 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2398]) ).

thf(2553,plain,
    ! [SV1388: $i,SV1341: $i,SV1252: $i,SV1089: $i,SV904: $i,SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ( SV75 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SV1089 @ SV75 @ SV1252 )
          = ( c_Type_Oty_Oty__case @ SV1341 @ SV509 @ SV710 @ SV904 @ SV1388 @ SV75 @ SV1252 ) )
        | ( SV75
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SV1089 @ SV1388 @ SV1252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2399]) ).

thf(2554,plain,
    ! [SV300: $i,SV510: $i,SV711: $i,SV905: $i,SV1090: $i,SV76: $i,SV1253: $i] :
      ( ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
          | ( SV1253 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2400]) ).

thf(2555,plain,
    ! [SV301: $i,SV511: $i,SV712: $i,SV906: $i,SV1091: $i,SV77: $i,SV1254: $i] :
      ( ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
          | ( SV1254 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2401]) ).

thf(2556,plain,
    ! [SV907: $i,SV302: $i,SV512: $i,SV713: $i,SV1092: $i,SV78: $i,SV1255: $i] :
      ( ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( ( SV1255 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2402]) ).

thf(2557,plain,
    ! [SV1389: $i,SV1342: $i,SV1256: $i,SV1093: $i,SV908: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SV1093 @ SV1256 )
          = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV1342 @ SV1389 @ SV1093 @ SV1256 ) )
        | ( SV1093
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1093 @ SV908 @ SV1389 @ SV1256 ) ) )
        | ( SV1093 = c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2403]) ).

thf(2558,plain,
    ! [SV909: $i,SV304: $i,SV514: $i,SV715: $i,SV1094: $i,SV80: $i,SV1257: $i] :
      ( ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( ( SV1257 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2404]) ).

thf(2559,plain,
    ! [SV716: $i,SV305: $i,SV515: $i,SV910: $i,SV1095: $i,SV81: $i,SV1258: $i] :
      ( ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
          | ( SV1258 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2405]) ).

thf(2560,plain,
    ! [SV1390: $i,SV1343: $i,SV1259: $i,SV1096: $i,SV911: $i,SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ( SV82 = c_Type_Oty_OInteger )
        | ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SV1096 @ SV82 @ SV1259 )
          = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV1343 @ SV911 @ SV1390 @ SV82 @ SV1259 ) )
        | ( SV82
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SV1096 @ SV1390 @ SV1259 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2406]) ).

thf(2561,plain,
    ! [SV718: $i,SV307: $i,SV517: $i,SV912: $i,SV1097: $i,SV83: $i,SV1260: $i] :
      ( ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
          | ( SV1260 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2407]) ).

thf(2562,plain,
    ! [SV518: $i,SV308: $i,SV719: $i,SV913: $i,SV1261: $i,SV1098: $i,SV84: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
          | ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2408]) ).

thf(2563,plain,
    ! [SV519: $i,SV309: $i,SV720: $i,SV914: $i,SV1262: $i,SV1099: $i,SV85: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
          | ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2409]) ).

thf(2564,plain,
    ! [SV310: $i,SV520: $i,SV721: $i,SV915: $i,SV1263: $i,SV1100: $i,SV86: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2410]) ).

thf(2565,plain,
    ! [SV311: $i,SV521: $i,SV722: $i,SV916: $i,SV1264: $i,SV1101: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2411]) ).

thf(2566,plain,
    ! [SV917: $i,SV312: $i,SV522: $i,SV723: $i,SV1265: $i,SV1102: $i,SV88: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) ) )
        = $true )
      | ( ( ( SV1265 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2412]) ).

thf(2567,plain,
    ! [SV918: $i,SV313: $i,SV523: $i,SV724: $i,SV1266: $i,SV1103: $i,SV89: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) ) )
        = $true )
      | ( ( ( SV1266 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2413]) ).

thf(2568,plain,
    ! [SV725: $i,SV314: $i,SV524: $i,SV919: $i,SV1267: $i,SV1104: $i,SV90: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
          | ( SV1267 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2414]) ).

thf(2569,plain,
    ! [SV726: $i,SV315: $i,SV525: $i,SV920: $i,SV1268: $i,SV1105: $i,SV91: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
          | ( SV1268 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2415]) ).

thf(2570,plain,
    ! [SV317: $i,SV527: $i,SV727: $i,SV921: $i,SV1106: $i,SV93: $i,SV1269: $i] :
      ( ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2416]) ).

thf(2571,plain,
    ! [SV1344: $i,SV1270: $i,SV1107: $i,SV922: $i,SV728: $i,SV528: $i,SV318: $i,SV94: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV922 @ SV1107 @ SV1270 )
          = ( c_Type_Oty_Oty__case @ SV94 @ SV318 @ SV528 @ SV728 @ SV1344 @ SV1107 @ SV1270 ) )
        = $true )
      | ( ( SV1107
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1107 @ SV922 @ SV1344 @ SV1270 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2417]) ).

thf(2572,plain,
    ! [SV319: $i,SV529: $i,SV729: $i,SV923: $i,SV1108: $i,SV95: $i,SV1271: $i] :
      ( ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2418]) ).

thf(2573,plain,
    ! [SV320: $i,SV530: $i,SV730: $i,SV924: $i,SV1272: $i,SV1109: $i,SV96: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2419]) ).

thf(2574,plain,
    ! [SV321: $i,SV531: $i,SV731: $i,SV925: $i,SV1273: $i,SV1110: $i,SV97: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2420]) ).

thf(2575,plain,
    ! [SV533: $i,SV732: $i,SV926: $i,SV323: $i,SV99: $i] :
      ( ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV926 @ SV732 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV99 @ SV926 @ SV533 @ SV732 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV99 @ SV323 @ SV533 @ SV732 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2421]) ).

thf(2576,plain,
    ! [SV1391: $i,SV1345: $i,SV1274: $i,SV1111: $i,SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ! [SY6005: $i] :
            ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
            | ~ ( c_TypeRel_Ohas__field @ SV100 @ SY6005 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SY6005 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2422]) ).

thf(2577,plain,
    ! [SV1392: $i,SV1346: $i,SV1275: $i,SV1112: $i,SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ! [SY6006: $i] :
            ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
            | ~ ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
            | ~ ( c_TypeRel_Ohas__field @ SV101 @ SY6006 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
            | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SY6006 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2423]) ).

thf(2578,plain,
    ! [SV1393: $i,SV1347: $i,SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY6007: $i,SY6008: $i,SY6009: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
              = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SY6007 @ SY6008 @ SY6009 @ SV1113 @ SV1276 ) )
            | ( SV1113
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SY6009 @ SV1276 ) ) )
            | ( SV1113 = c_Type_Oty_ONT )
            | ( SV1113 = c_Type_Oty_OInteger )
            | ( SV1113 = c_Type_Oty_OBoolean )
            | ( SV1113 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2424]) ).

thf(2579,plain,
    ! [SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV1114: $i,SV103: $i,SV1277: $i] :
      ( ( ( SV1277
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SV1277 ) ) )
        = $true )
      | ( ( ( SV1277 = c_Type_Oty_ONT )
          | ( SV1277 = c_Type_Oty_OInteger )
          | ( SV1277 = c_Type_Oty_OBoolean )
          | ( SV1277 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SV1277 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2425]) ).

thf(2580,plain,
    ! [SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV1115: $i,SV104: $i,SV1278: $i] :
      ( ( ( SV1278
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SV1278 ) ) )
        = $true )
      | ( ( ( SV1278 = c_Type_Oty_ONT )
          | ( SV1278 = c_Type_Oty_OInteger )
          | ( SV1278 = c_Type_Oty_OBoolean )
          | ( SV1278 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SV1278 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2426]) ).

thf(2581,plain,
    ! [SV112: $i,SV1279: $i,SV1119: $i,SV935: $i,SV741: $i,SV542: $i,SV335: $i] :
      ( ( ( c_WellType_OWT @ SV335 @ SV542 @ ( c_Expr_Oexp_OFAss @ SV741 @ SV935 @ SV1119 @ SV1279 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV112 )
        = $false )
      | ( ( SV112 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2429]) ).

thf(2582,plain,
    ! [SV1348: $i,SV1280: $i,SV1120: $i,SV936: $i,SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1280 )
        = $true )
      | ( ( ~ ( c_TypeRel_Ohas__field @ SV115 @ SV1348 @ SV936 @ SV1280 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SV1348 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2430]) ).

thf(2583,plain,
    ! [SV1349: $i,SV1281: $i,SV1122: $i,SV938: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV938 = c_Type_Oty_OVoid )
          | ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SV1122 @ SV1281 @ SV1349 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2431]) ).

thf(2584,plain,
    ! [SV939: $i,SV547: $i,SV341: $i,SV1123: $i,SV745: $i,SV119: $i] :
      ( ( ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_Type_Ois__refT @ SV1123 )
          | ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2432]) ).

thf(2585,plain,
    ! [SV942: $i,SV551: $i,SV345: $i,SV1126: $i,SV749: $i,SV123: $i] :
      ( ( ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_Type_Ois__refT @ SV1126 )
          | ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2433]) ).

thf(2586,plain,
    ! [SV347: $i,SV750: $i,SV553: $i,SV943: $i,SV125: $i] :
      ( ( ( c_Map_Omap__le @ SV125 @ SV943 @ SV553 @ SV750 )
        = $false )
      | ( ( c_Map_Omap__le @ SV943 @ SV347 @ SV553 @ SV750 )
        = $false )
      | ( ( c_Map_Omap__le @ SV125 @ SV347 @ SV553 @ SV750 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2434]) ).

thf(2587,plain,
    ! [SV348: $i,SV751: $i,SV554: $i,SV944: $i,SV126: $i] :
      ( ( ( c_WellType_OWT @ SV126 @ SV944 @ SV554 @ SV751 )
        = $false )
      | ( ( c_Map_Omap__le @ SV944 @ SV348 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
        = $false )
      | ( ( c_WellType_OWT @ SV126 @ SV348 @ SV554 @ SV751 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2435]) ).

thf(2588,plain,
    ! [SV1282: $i,SV1127: $i,SV948: $i,SV755: $i,SV559: $i,SV353: $i,SV131: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ SV755 @ c_Type_Oty_ONT )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV131 @ SV353 @ SV559 @ ( c_Expr_Oexp_OFAcc @ SV755 @ SV948 @ SV1127 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1282 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2436]) ).

thf(2589,plain,
    ! [SV1283: $i,SV1128: $i,SV949: $i,SV756: $i,SV560: $i,SV354: $i,SV132: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ SV756 @ c_Type_Oty_ONT )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV132 @ SV354 @ SV560 @ ( c_Expr_Oexp_OFAcc @ SV756 @ SV949 @ SV1128 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1283 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2437]) ).

thf(2590,plain,
    ! [SV1350: $i,SV1284: $i,SV1131: $i,SV952: $i,SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ( SV136 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( SV136 = c_Type_Oty_OVoid )
          | ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SV1131 @ SV1284 @ SV1350 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2440]) ).

thf(2591,plain,
    ! [SV1351: $i,SV1285: $i,SV1133: $i,SV954: $i,SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SV1285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV1285 @ SV1351 )
          | ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2442]) ).

thf(2592,plain,
    ! [SV1286: $i,SV765: $i,SV1134: $i,SV955: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ( ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SV1134 ) )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SV1286 ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1134 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2443]) ).

thf(2593,plain,
    ! [SV1137: $i,SV572: $i,SV958: $i,SV768: $i,SV366: $i,SV144: $i] :
      ( ( ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SV958 )
        = $false )
      | ( ( ~ ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SV1137 ) )
        = $true )
      | ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV958 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2444]) ).

thf(2594,plain,
    ! [SV1352: $i,SV1287: $i,SV1139: $i,SV960: $i,SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SV1287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV1287 @ SV1352 )
          | ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2445]) ).

thf(2595,plain,
    ! [SV1289: $i,SV774: $i,SV1143: $i,SV964: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SV1143 ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SV1289 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2448]) ).

thf(2596,plain,
    ! [SV966: $i,SV777: $i,SV376: $i,SV154: $i,SV581: $i,SV1144: $i] :
      ( ( ( c_Map_Omap__le @ SV1144 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV1144 @ SV777 @ SV966 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SV966 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2449]) ).

thf(2597,plain,
    ! [SV971: $i,SV782: $i,SV586: $i,SV160: $i,SV382: $i,SV1146: $i] :
      ( ( ( c_Objects_Ohext @ SV1146 @ SV382 )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV160 @ SV1146 @ SV586 @ SV782 @ SV971 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SV971 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2450]) ).

thf(2598,plain,
    ! [SV1291: $i,SV1147: $i,SV972: $i,SV783: $i,SV587: $i,SV383: $i,SV161: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV161 @ ( c_Type_Oty_Oty__case @ SV383 @ SV587 @ SV783 @ SV972 @ SV1147 @ ( c_Type_Oty_OClass @ SV1291 ) @ t_a ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV161 @ ( hAPP @ SV1147 @ SV1291 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2451]) ).

thf(2599,plain,
    ! [SV1292: $i,SV1148: $i,SV973: $i,SV784: $i,SV588: $i,SV384: $i,SV162: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV162 @ ( c_Type_Oty_Oty__case @ SV384 @ SV588 @ SV784 @ SV973 @ SV1148 @ ( c_Type_Oty_OClass @ SV1292 ) @ t_a ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV162 @ ( hAPP @ SV1148 @ SV1292 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2452]) ).

thf(2600,plain,
    ! [SV1353: $i,SV1293: $i,SV1149: $i,SV974: $i,SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1293 )
        = $true )
      | ( ( ~ ( c_TypeRel_Ohas__field @ SV165 @ SV1353 @ SV974 @ SV1293 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SV1353 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2453]) ).

thf(2601,plain,
    ! [SV1394: $i,SV1354: $i,SV1294: $i,SV1150: $i,SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
         != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
        | ( SV389 = c_Type_Oty_ONT )
        | ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1354 @ SV168 @ SV389 @ SV786 )
          = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1394 @ SV591 @ SV389 @ SV786 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2454]) ).

thf(2602,plain,
    ! [SV1355: $i,SV1295: $i,SV1151: $i,SV976: $i,SV787: $i,SV592: $i,SV390: $i,SV170: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ SV170 @ SV390 @ SV592 @ SV787 @ SV976 )
        = ( c_Expr_Oexp_OFAcc @ SV1151 @ SV1295 @ SV1355 @ SV976 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2455]) ).

thf(2603,plain,
    ! [SV1395: $i,SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ! [SY6010: $i] :
            ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
             != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
            | ( SV392 = c_Type_Oty_ONT )
            | ( SV392 = c_Type_Oty_OInteger )
            | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
              = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1395 @ SY6010 @ SV594 @ SV392 @ SV789 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2456]) ).

thf(2604,plain,
    ! [SV1396: $i,SV1357: $i,SV1297: $i,SV1155: $i,SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
         != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
        | ( SV397 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SV1297 @ SV1357 @ SV177 @ SV397 @ SV794 )
          = ( c_Type_Oty_Oty__case @ SV1396 @ SV1155 @ SV1297 @ SV1357 @ SV599 @ SV397 @ SV794 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2457]) ).

thf(2605,plain,
    ! [SV1358: $i,SV1298: $i,SV1156: $i,SV984: $i,SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
         != ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SV1358 @ SV178 @ SV398 @ SV795 )
          = ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SV1358 @ SV600 @ SV398 @ SV795 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2458]) ).

thf(2606,plain,
    ! [SV1397: $i,SV1359: $i,SV1299: $i,SV1157: $i,SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
         != ( c_Expr_Oexp_OFAss @ SV1157 @ SV1299 @ SV1359 @ SV1397 @ SV985 ) )
        | ( SV179 = SV1157 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2459]) ).

thf(2607,plain,
    ! [SV1301: $i,SV1159: $i,SV988: $i,SV799: $i,SV604: $i,SV402: $i,SV182: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV182 @ SV402 @ SV604 @ SV799 )
          = ( c_Expr_Oexp_OFAcc @ SV988 @ SV1159 @ SV1301 @ SV799 ) )
        = $false )
      | ( ( SV604 = SV1301 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2461]) ).

thf(2608,plain,
    ! [SV1398: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY6011: $i,SY6012: $i,SY6013: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SV1398 @ SY6011 @ SY6012 @ SY6013 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2463]) ).

thf(2609,plain,
    ! [SV1399: $i,SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ! [SY6014: $i] :
            ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
             != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
            | ( SV412 = c_Type_Oty_OInteger )
            | ( SV412 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
              = ( c_Type_Oty_Oty__case @ SV995 @ SV1399 @ SY6014 @ SV1361 @ SV614 @ SV412 @ SV808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2465]) ).

thf(2610,plain,
    ! [SV1400: $i,SV1362: $i,SV1305: $i,SV1166: $i,SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
         != ( c_Expr_Oexp_OFAss @ SV1166 @ SV1305 @ SV1362 @ SV1400 @ SV996 ) )
        | ( SV413 = SV1305 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2466]) ).

thf(2611,plain,
    ! [SV1306: $i,SV1168: $i,SV998: $i,SV811: $i,SV617: $i,SV415: $i,SV196: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV196 @ SV415 @ SV617 @ SV811 )
          = ( c_Expr_Oexp_OFAcc @ SV998 @ SV1168 @ SV1306 @ SV811 ) )
        = $false )
      | ( ( SV415 = SV1168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2467]) ).

thf(2612,plain,
    ! [SV1363: $i,SV1308: $i,SV1170: $i,SV1000: $i,SV813: $i,SV619: $i,SV417: $i,SV198: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ SV198 @ SV417 @ SV619 @ SV813 )
        = ( c_Expr_Oexp_OFAss @ SV1000 @ SV1170 @ SV1308 @ SV1363 @ SV813 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2469]) ).

thf(2613,plain,
    ! [SV1401: $i,SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ! [SY6015: $i] :
            ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
             != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
            | ( SV418 = c_Type_Oty_ONT )
            | ( SV418 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
              = ( c_Type_Oty_Oty__case @ SV1401 @ SV1171 @ SV1309 @ SY6015 @ SV620 @ SV418 @ SV814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2470]) ).

thf(2614,plain,
    ! [SV1402: $i,SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ! [SY6016: $i] :
            ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
             != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
            | ( SV419 = c_Type_Oty_ONT )
            | ( SV419 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
              = ( c_Type_Oty_Oty__case @ SV1002 @ SV1402 @ SV1310 @ SY6016 @ SV621 @ SV419 @ SV815 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2471]) ).

thf(2615,plain,
    ! [SV1403: $i,SV1366: $i,SV1311: $i,SV1173: $i,SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
         != ( c_Expr_Oexp_OFAss @ SV1173 @ SV1311 @ SV1366 @ SV1403 @ SV1003 ) )
        | ( SV816 = SV1403 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2472]) ).

thf(2616,plain,
    ! [SV1404: $i,SV1367: $i,SV1312: $i,SV1174: $i,SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
         != ( c_Expr_Oexp_OFAss @ SV1174 @ SV1312 @ SV1367 @ SV1404 @ SV1004 ) )
        | ( SV623 = SV1367 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2473]) ).

thf(2617,plain,
    ! [SV1313: $i,SV1175: $i,SV1006: $i,SV819: $i,SV625: $i,SV423: $i,SV206: $i] :
      ( ( ( ( c_Expr_Oexp_OFAcc @ SV206 @ SV423 @ SV625 @ SV819 )
          = ( c_Expr_Oexp_OFAcc @ SV1006 @ SV1175 @ SV1313 @ SV819 ) )
        = $false )
      | ( ( SV206 = SV1006 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2474]) ).

thf(2618,plain,
    ! [SV1405: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY6017: $i,SY6018: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SY6017 @ SY6018 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2475]) ).

thf(2619,plain,
    ! [SV1406: $i,SV1369: $i,SV1315: $i,SV1178: $i,SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
         != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
        | ( SV426 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SV1315 @ SV1369 @ SV211 @ SV426 @ SV822 )
          = ( c_Type_Oty_Oty__case @ SV1009 @ SV1406 @ SV1315 @ SV1369 @ SV628 @ SV426 @ SV822 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2476]) ).

thf(2620,plain,
    ! [SV1407: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY6019: $i,SY6020: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SV1407 @ SY6019 @ SV1316 @ SY6020 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2477]) ).

thf(2621,plain,
    ! [SV1408: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY6021: $i,SY6022: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SV1408 @ SY6021 @ SY6022 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2479]) ).

thf(2622,plain,
    ! [SV1409: $i,SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ! [SY6023: $i] :
            ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
             != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
            | ( SV435 = c_Type_Oty_OInteger )
            | ( SV435 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
              = ( c_Type_Oty_Oty__case @ SV1409 @ SV1183 @ SY6023 @ SV1372 @ SV636 @ SV435 @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2481]) ).

thf(2623,plain,
    ! [SV1410: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY6024: $i,SY6025: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SY6024 @ SY6025 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2482]) ).

thf(2624,plain,
    ! [SV1411: $i,SV1374: $i,SV1321: $i,SV1185: $i,SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
         != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
        | ( SV437 = c_Type_Oty_OInteger )
        | ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1321 @ SV1374 @ SV224 @ SV437 @ SV832 )
          = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1411 @ SV1374 @ SV638 @ SV437 @ SV832 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2483]) ).

thf(2625,plain,
    ! [SV1412: $i,SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ! [SY6026: $i] :
            ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
             != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
            | ( SV438 = c_Type_Oty_OBoolean )
            | ( SV438 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
              = ( c_Type_Oty_Oty__case @ SV1412 @ SY6026 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2484]) ).

thf(2626,plain,
    ! [SV1: $i,SV1323: $i,SV1187: $i,SV1020: $i,SV835: $i,SV641: $i,SV440: $i,SV227: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV227 @ SV1187 @ SV641 @ ( c_Expr_Oexp_OFAss @ SV1020 @ SV835 @ SV440 @ SV1323 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 ) )
        = $true )
      | ( ( SV1 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2485]) ).

thf(2627,plain,
    ! [SV1324: $i,SV1188: $i,SV228: $i,SV642: $i,SV1021: $i,SV441: $i,SV836: $i,SV2: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV1021 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SV1021 @ SV836 @ SV1188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1324 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2486]) ).

thf(2628,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2487]) ).

thf(2629,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2488]) ).

thf(2630,plain,
    ! [SV1189: $i,SV838: $i,SV1023: $i,SV644: $i,SV443: $i,SV232: $i,SV8: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ ( c_Expr_Oexp_OFAcc @ SV644 @ SV1023 @ SV838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1189 )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV8 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV838 @ SV443 @ SV1023 @ SV8 @ SV1189 @ SV644 @ SV232 ) @ SV1023 @ SV1189 @ SV838 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV8 @ SV232 @ SV443 @ SV644 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2489]) ).

thf(2631,plain,
    ! [SV1190: $i,SV839: $i,SV1024: $i,SV645: $i,SV444: $i,SV233: $i,SV9: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ ( c_Expr_Oexp_OFAcc @ SV645 @ SV1024 @ SV839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1190 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV839 @ SV444 @ SV1024 @ SV9 @ SV1190 @ SV645 @ SV233 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV9 @ SV233 @ SV444 @ SV645 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2490]) ).

thf(2632,plain,
    ! [SV10: $i,SV1325: $i,SV1191: $i,SV1025: $i,SV840: $i,SV646: $i,SV445: $i,SV234: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1025 @ SV646 @ SV1191 @ SV234 @ SV840 @ SV445 @ SV1325 ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SV1191 @ SV1025 @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 ) )
        = $true )
      | ( ( SV10 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2491]) ).

thf(2633,plain,
    ! [SV1326: $i,SV1192: $i,SV1026: $i,SV841: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SV1026 @ SV11 @ SV647 @ SV235 @ SV1192 ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SV1026 @ SV841 @ SV1192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1326 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2492]) ).

thf(2634,plain,
    ! [SV447: $i,SV236: $i,SV842: $i,SV1027: $i,SV648: $i,SV1193: $i,SV12: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV12 @ SV1193 @ SV648 @ SV1027 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SV1193 ) ) )
        = $true )
      | ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1027 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2493]) ).

thf(2635,plain,
    ! [SV1327: $i,SV240: $i,SV1194: $i,SV1031: $i,SV16: $i,SV846: $i,SV652: $i,SV451: $i] :
      ( ( ( ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SV1194 ) )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SV1327 @ SV1194 ) )
        = $true )
      | ( ( SV16 = SV240 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2494]) ).

thf(2636,plain,
    ! [SV241: $i,SV1328: $i,SV1195: $i,SV17: $i,SV1032: $i,SV847: $i,SV653: $i,SV452: $i] :
      ( ( ( ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SV1195 ) )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1328 @ SV241 @ SV1195 ) )
        = $true )
      | ( ( SV17 = SV241 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2495]) ).

thf(2637,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2496]) ).

thf(2638,plain,
    ! [SV1376: $i,SV1329: $i,SV1196: $i,SV1033: $i,SV848: $i,SV654: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
          | ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2497]) ).

thf(2639,plain,
    ! [SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV1197: $i,SV1034: $i,SV20: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) )
        = $false )
      | ( ( ( SV1197 = c_Type_Oty_ONT )
          | ( SV1197 = c_Type_Oty_OInteger )
          | ( SV1197 = c_Type_Oty_OBoolean )
          | ( SV1197 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2498]) ).

thf(2640,plain,
    ! [SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV1198: $i,SV1035: $i,SV21: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) )
        = $false )
      | ( ( ( SV1198 = c_Type_Oty_ONT )
          | ( SV1198 = c_Type_Oty_OInteger )
          | ( SV1198 = c_Type_Oty_OBoolean )
          | ( SV1198 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2499]) ).

thf(2641,plain,
    ! [SV851: $i,SV456: $i,SV246: $i,SV1036: $i,SV657: $i,SV22: $i,SV1199: $i] :
      ( ( ( SV1199 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
          | ( SV1199 = c_Type_Oty_OBoolean )
          | ( SV1199 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1199
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2500]) ).

thf(2642,plain,
    ! [SV852: $i,SV457: $i,SV247: $i,SV1037: $i,SV658: $i,SV23: $i,SV1200: $i] :
      ( ( ( SV1200 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
          | ( SV1200 = c_Type_Oty_OBoolean )
          | ( SV1200 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1200
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2501]) ).

thf(2643,plain,
    ! [SV1413: $i,SV1377: $i,SV1330: $i,SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ! [SY6027: $i] :
            ( ( SV24 = c_Type_Oty_OBoolean )
            | ( SV24 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
              = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SV1413 @ SY6027 @ SV24 @ SV1201 ) )
            | ( SV24
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SY6027 @ SV1201 ) ) )
            | ( SV24 = c_Type_Oty_ONT ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2502]) ).

thf(2644,plain,
    ! [SV1414: $i,SV1378: $i,SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ! [SY6028: $i] :
            ( ( SV25 = c_Type_Oty_OInteger )
            | ( SV25 = c_Type_Oty_OBoolean )
            | ( SV25 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
              = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SV1414 @ SV854 @ SY6028 @ SV25 @ SV1202 ) )
            | ( SV25
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SY6028 @ SV1202 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2503]) ).

thf(2645,plain,
    ! [SV661: $i,SV460: $i,SV250: $i,SV1040: $i,SV1203: $i,SV855: $i,SV26: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV26 @ SV855 ) ) )
        = $true )
      | ( ( ( SV1203 = c_Type_Oty_OInteger )
          | ( SV1203 = c_Type_Oty_OBoolean )
          | ( SV1203 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1203
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2504]) ).

thf(2646,plain,
    ! [SV662: $i,SV461: $i,SV251: $i,SV1041: $i,SV1204: $i,SV856: $i,SV27: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV27 @ SV856 ) ) )
        = $true )
      | ( ( ( SV1204 = c_Type_Oty_OInteger )
          | ( SV1204 = c_Type_Oty_OBoolean )
          | ( SV1204 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1204
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2505]) ).

thf(2647,plain,
    ! [SV857: $i,SV663: $i,SV462: $i,SV1042: $i,SV252: $i,SV28: $i,SV1205: $i] :
      ( ( ( SV1205 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1205 = c_Type_Oty_OInteger )
          | ( SV1205 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) )
        = $true )
      | ( ( SV1205
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2506]) ).

thf(2648,plain,
    ! [SV1415: $i,SV1379: $i,SV1332: $i,SV1206: $i,SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ! [SY6029: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
              = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SV1415 @ SY6029 @ SV1043 @ SV1206 ) )
            | ( SV1043
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SY6029 @ SV1206 ) ) )
            | ( SV1043 = c_Type_Oty_ONT )
            | ( SV1043 = c_Type_Oty_OInteger )
            | ( SV1043 = c_Type_Oty_OBoolean ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2507]) ).

thf(2649,plain,
    ! [SV859: $i,SV665: $i,SV464: $i,SV1044: $i,SV254: $i,SV30: $i,SV1207: $i] :
      ( ( ( SV1207 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1207 = c_Type_Oty_OInteger )
          | ( SV1207 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) )
        = $true )
      | ( ( SV1207
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2508]) ).

thf(2650,plain,
    ! [SV860: $i,SV666: $i,SV255: $i,SV1045: $i,SV465: $i,SV31: $i,SV1208: $i] :
      ( ( ( SV1208 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1208 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
          | ( SV1208 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1208
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2509]) ).

thf(2651,plain,
    ! [SV861: $i,SV667: $i,SV256: $i,SV1046: $i,SV466: $i,SV32: $i,SV1209: $i] :
      ( ( ( SV1209 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1209 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
          | ( SV1209 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1209
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2510]) ).

thf(2652,plain,
    ! [SV1416: $i,SV1380: $i,SV1333: $i,SV1210: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ! [SY6030: $i] :
            ( ( SV33 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
              = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SV1416 @ SY6030 @ SV33 @ SV1210 ) )
            | ( SV33
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SY6030 @ SV1210 ) ) )
            | ( SV33 = c_Type_Oty_ONT )
            | ( SV33 = c_Type_Oty_OInteger ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2511]) ).

thf(2653,plain,
    ! [SV863: $i,SV468: $i,SV258: $i,SV669: $i,SV1211: $i,SV1048: $i,SV34: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
        = $false )
      | ( ( ( SV1211 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
          | ( SV1211 = c_Type_Oty_OBoolean )
          | ( SV1211 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2512]) ).

thf(2654,plain,
    ! [SV864: $i,SV469: $i,SV259: $i,SV670: $i,SV1212: $i,SV1049: $i,SV35: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
        = $false )
      | ( ( ( SV1212 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
          | ( SV1212 = c_Type_Oty_OBoolean )
          | ( SV1212 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2513]) ).

thf(2655,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV865: $i,SV1213: $i,SV1050: $i,SV36: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
          | ( SV1213 = c_Type_Oty_OInteger )
          | ( SV1213 = c_Type_Oty_OBoolean )
          | ( SV1213 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2514]) ).

thf(2656,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV866: $i,SV1214: $i,SV1051: $i,SV37: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
          | ( SV1214 = c_Type_Oty_OInteger )
          | ( SV1214 = c_Type_Oty_OBoolean )
          | ( SV1214 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2515]) ).

thf(2657,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV262: $i,SV1215: $i,SV1052: $i,SV38: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
        = $false )
      | ( ( ( SV1215 = c_Type_Oty_ONT )
          | ( SV1215 = c_Type_Oty_OInteger )
          | ( SV1215 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2516]) ).

thf(2658,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV263: $i,SV1216: $i,SV1053: $i,SV39: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
        = $false )
      | ( ( ( SV1216 = c_Type_Oty_ONT )
          | ( SV1216 = c_Type_Oty_OInteger )
          | ( SV1216 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2517]) ).

thf(2659,plain,
    ! [SV869: $i,SV675: $i,SV264: $i,SV474: $i,SV1217: $i,SV1054: $i,SV40: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
        = $false )
      | ( ( ( SV1217 = c_Type_Oty_ONT )
          | ( SV1217 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
          | ( SV1217 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2518]) ).

thf(2660,plain,
    ! [SV870: $i,SV676: $i,SV265: $i,SV475: $i,SV1218: $i,SV1055: $i,SV41: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
        = $false )
      | ( ( ( SV1218 = c_Type_Oty_ONT )
          | ( SV1218 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
          | ( SV1218 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2519]) ).

thf(2661,plain,
    ! [SV1417: $i,SV1381: $i,SV1334: $i,SV1219: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ( SV42 = c_Type_Oty_OBoolean )
        | ( SV42 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
          = ( c_Type_Oty_Oty__case @ SV1334 @ SV1381 @ SV677 @ SV871 @ SV1417 @ SV42 @ SV1219 ) )
        | ( SV42
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SV1417 @ SV1219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2520]) ).

thf(2662,plain,
    ! [SV477: $i,SV267: $i,SV1057: $i,SV1220: $i,SV678: $i,SV872: $i,SV43: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV43 @ SV872 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
          | ( SV1220 = c_Type_Oty_OBoolean )
          | ( SV1220 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2521]) ).

thf(2663,plain,
    ! [SV478: $i,SV268: $i,SV1058: $i,SV1221: $i,SV679: $i,SV873: $i,SV44: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV44 @ SV873 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
          | ( SV1221 = c_Type_Oty_OBoolean )
          | ( SV1221 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2522]) ).

thf(2664,plain,
    ! [SV874: $i,SV479: $i,SV1059: $i,SV269: $i,SV680: $i,SV45: $i,SV1222: $i] :
      ( ( ( SV1222 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
          | ( SV1222 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
        = $true )
      | ( ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2523]) ).

thf(2665,plain,
    ! [SV1418: $i,SV1382: $i,SV1335: $i,SV1223: $i,SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ( SV46 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
          = ( c_Type_Oty_Oty__case @ SV270 @ SV1335 @ SV681 @ SV1382 @ SV1418 @ SV46 @ SV1223 ) )
        | ( SV46
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SV1418 @ SV1223 ) ) )
        | ( SV46 = c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2524]) ).

thf(2666,plain,
    ! [SV876: $i,SV481: $i,SV1061: $i,SV271: $i,SV682: $i,SV47: $i,SV1224: $i] :
      ( ( ( SV1224 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
          | ( SV1224 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
        = $true )
      | ( ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2525]) ).

thf(2667,plain,
    ! [SV683: $i,SV482: $i,SV1062: $i,SV272: $i,SV1225: $i,SV877: $i,SV48: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV48 @ SV877 ) ) )
        = $true )
      | ( ( ( SV1225 = c_Type_Oty_OInteger )
          | ( SV1225 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
        = $true )
      | ( ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2526]) ).

thf(2668,plain,
    ! [SV1419: $i,SV1383: $i,SV1336: $i,SV1226: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ( SV49 = c_Type_Oty_OInteger )
        | ( SV49 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
          = ( c_Type_Oty_Oty__case @ SV273 @ SV1336 @ SV1383 @ SV878 @ SV1419 @ SV49 @ SV1226 ) )
        | ( SV49
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SV1419 @ SV1226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2527]) ).

thf(2669,plain,
    ! [SV685: $i,SV484: $i,SV1064: $i,SV274: $i,SV1227: $i,SV879: $i,SV50: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV50 @ SV879 ) ) )
        = $true )
      | ( ( ( SV1227 = c_Type_Oty_OInteger )
          | ( SV1227 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
        = $true )
      | ( ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2528]) ).

thf(2670,plain,
    ! [SV880: $i,SV275: $i,SV1065: $i,SV485: $i,SV686: $i,SV51: $i,SV1228: $i] :
      ( ( ( SV1228 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
          | ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
          | ( SV1228 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2529]) ).

thf(2671,plain,
    ! [SV881: $i,SV276: $i,SV1066: $i,SV486: $i,SV687: $i,SV52: $i,SV1229: $i] :
      ( ( ( SV1229 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
          | ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
          | ( SV1229 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2530]) ).

thf(2672,plain,
    ! [SV1420: $i,SV1384: $i,SV1337: $i,SV1230: $i,SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ( SV53 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
          = ( c_Type_Oty_Oty__case @ SV1337 @ SV487 @ SV688 @ SV1384 @ SV1420 @ SV53 @ SV1230 ) )
        | ( SV53
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SV1420 @ SV1230 ) ) )
        | ( SV53 = c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2531]) ).

thf(2673,plain,
    ! [SV1421: $i,SV1385: $i,SV1338: $i,SV1231: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ( SV54 = c_Type_Oty_OInteger )
        | ( SV54 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
          = ( c_Type_Oty_Oty__case @ SV1338 @ SV488 @ SV1385 @ SV883 @ SV1421 @ SV54 @ SV1231 ) )
        | ( SV54
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SV1421 @ SV1231 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2532]) ).

thf(2674,plain,
    ! [SV690: $i,SV279: $i,SV1069: $i,SV489: $i,SV1232: $i,SV884: $i,SV55: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV55 @ SV884 ) ) )
        = $true )
      | ( ( ( SV1232 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
          | ( SV1232 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2533]) ).

thf(2675,plain,
    ! [SV691: $i,SV280: $i,SV1070: $i,SV490: $i,SV1233: $i,SV885: $i,SV56: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV56 @ SV885 ) ) )
        = $true )
      | ( ( ( SV1233 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
          | ( SV1233 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2534]) ).

thf(2676,plain,
    ! [SV886: $i,SV692: $i,SV1071: $i,SV281: $i,SV491: $i,SV57: $i,SV1234: $i] :
      ( ( ( SV1234 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1234 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
        = $true )
      | ( ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2535]) ).

thf(2677,plain,
    ! [SV1422: $i,SV1386: $i,SV1339: $i,SV1235: $i,SV1072: $i,SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
          = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV1339 @ SV1386 @ SV1422 @ SV1072 @ SV1235 ) )
        | ( SV1072
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SV1422 @ SV1235 ) ) )
        | ( SV1072 = c_Type_Oty_ONT )
        | ( SV1072 = c_Type_Oty_OInteger ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2536]) ).

thf(2678,plain,
    ! [SV888: $i,SV694: $i,SV1073: $i,SV283: $i,SV493: $i,SV59: $i,SV1236: $i] :
      ( ( ( SV1236 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1236 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
        = $true )
      | ( ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2537]) ).

thf(2679,plain,
    ! [SV494: $i,SV284: $i,SV695: $i,SV889: $i,SV1237: $i,SV1074: $i,SV60: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
          | ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
          | ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2538]) ).

thf(2680,plain,
    ! [SV495: $i,SV285: $i,SV696: $i,SV890: $i,SV1238: $i,SV1075: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
          | ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
          | ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2539]) ).

thf(2681,plain,
    ! [SV891: $i,SV496: $i,SV286: $i,SV697: $i,SV1239: $i,SV1076: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        = $false )
      | ( ( ( SV1239 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
          | ( SV1239 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2540]) ).

thf(2682,plain,
    ! [SV892: $i,SV497: $i,SV287: $i,SV698: $i,SV1240: $i,SV1077: $i,SV63: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        = $false )
      | ( ( ( SV1240 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
          | ( SV1240 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2541]) ).

thf(2683,plain,
    ! [SV699: $i,SV498: $i,SV288: $i,SV893: $i,SV1241: $i,SV1078: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
          | ( SV1241 = c_Type_Oty_OInteger )
          | ( SV1241 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2542]) ).

thf(2684,plain,
    ! [SV700: $i,SV499: $i,SV289: $i,SV894: $i,SV1242: $i,SV1079: $i,SV65: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
          | ( SV1242 = c_Type_Oty_OInteger )
          | ( SV1242 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2543]) ).

thf(2685,plain,
    ! [SV895: $i,SV290: $i,SV500: $i,SV701: $i,SV1243: $i,SV1080: $i,SV66: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        = $false )
      | ( ( ( SV1243 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
          | ( SV1243 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2544]) ).

thf(2686,plain,
    ! [SV896: $i,SV291: $i,SV501: $i,SV702: $i,SV1244: $i,SV1081: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        = $false )
      | ( ( ( SV1244 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
          | ( SV1244 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2545]) ).

thf(2687,plain,
    ! [SV703: $i,SV292: $i,SV502: $i,SV897: $i,SV1245: $i,SV1082: $i,SV68: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
          | ( SV1245 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
          | ( SV1245 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2546]) ).

thf(2688,plain,
    ! [SV704: $i,SV293: $i,SV503: $i,SV898: $i,SV1246: $i,SV1083: $i,SV69: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
          | ( SV1246 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
          | ( SV1246 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2547]) ).

thf(2689,plain,
    ! [SV899: $i,SV705: $i,SV294: $i,SV504: $i,SV1247: $i,SV1084: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        = $false )
      | ( ( ( SV1247 = c_Type_Oty_ONT )
          | ( SV1247 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2548]) ).

thf(2690,plain,
    ! [SV900: $i,SV706: $i,SV295: $i,SV505: $i,SV1248: $i,SV1085: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        = $false )
      | ( ( ( SV1248 = c_Type_Oty_ONT )
          | ( SV1248 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2549]) ).

thf(2691,plain,
    ! [SV506: $i,SV1086: $i,SV296: $i,SV1249: $i,SV707: $i,SV901: $i,SV72: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ SV901 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
          | ( SV1249 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true )
      | ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2550]) ).

thf(2692,plain,
    ! [SV1387: $i,SV1340: $i,SV1250: $i,SV1087: $i,SV902: $i,SV708: $i,SV507: $i,SV297: $i,SV73: $i] :
      ( ( ( SV73 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SV1087 @ SV73 @ SV1250 )
            = ( c_Type_Oty_Oty__case @ SV297 @ SV1340 @ SV708 @ SV902 @ SV1387 @ SV73 @ SV1250 ) )
          | ( SV73
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SV1087 @ SV1387 @ SV1250 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2551]) ).

thf(2693,plain,
    ! [SV508: $i,SV1088: $i,SV298: $i,SV1251: $i,SV709: $i,SV903: $i,SV74: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ SV903 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
          | ( SV1251 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true )
      | ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2552]) ).

thf(2694,plain,
    ! [SV1388: $i,SV1341: $i,SV1252: $i,SV1089: $i,SV904: $i,SV710: $i,SV509: $i,SV299: $i,SV75: $i] :
      ( ( ( SV75 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SV1089 @ SV75 @ SV1252 )
            = ( c_Type_Oty_Oty__case @ SV1341 @ SV509 @ SV710 @ SV904 @ SV1388 @ SV75 @ SV1252 ) )
          | ( SV75
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SV1089 @ SV1388 @ SV1252 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2553]) ).

thf(2695,plain,
    ! [SV300: $i,SV1090: $i,SV1253: $i,SV510: $i,SV711: $i,SV905: $i,SV76: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV905 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
          | ( SV1253 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2554]) ).

thf(2696,plain,
    ! [SV301: $i,SV1091: $i,SV1254: $i,SV511: $i,SV712: $i,SV906: $i,SV77: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV906 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
          | ( SV1254 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2555]) ).

thf(2697,plain,
    ! [SV907: $i,SV1092: $i,SV302: $i,SV512: $i,SV713: $i,SV78: $i,SV1255: $i] :
      ( ( ( SV1255 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true )
      | ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2556]) ).

thf(2698,plain,
    ! [SV1389: $i,SV1342: $i,SV1256: $i,SV1093: $i,SV908: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SV1093 @ SV1256 )
          = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV1342 @ SV1389 @ SV1093 @ SV1256 ) )
        = $true )
      | ( ( ( SV1093
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1093 @ SV908 @ SV1389 @ SV1256 ) ) )
          | ( SV1093 = c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2557]) ).

thf(2699,plain,
    ! [SV909: $i,SV1094: $i,SV304: $i,SV514: $i,SV715: $i,SV80: $i,SV1257: $i] :
      ( ( ( SV1257 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true )
      | ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2558]) ).

thf(2700,plain,
    ! [SV716: $i,SV1095: $i,SV305: $i,SV515: $i,SV1258: $i,SV910: $i,SV81: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV81 @ SV910 ) ) )
        = $true )
      | ( ( ( SV1258 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true )
      | ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2559]) ).

thf(2701,plain,
    ! [SV1390: $i,SV1343: $i,SV1259: $i,SV1096: $i,SV911: $i,SV717: $i,SV516: $i,SV306: $i,SV82: $i] :
      ( ( ( SV82 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SV1096 @ SV82 @ SV1259 )
            = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV1343 @ SV911 @ SV1390 @ SV82 @ SV1259 ) )
          | ( SV82
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SV1096 @ SV1390 @ SV1259 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2560]) ).

thf(2702,plain,
    ! [SV718: $i,SV1097: $i,SV307: $i,SV517: $i,SV1260: $i,SV912: $i,SV83: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV912 ) ) )
        = $true )
      | ( ( ( SV1260 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true )
      | ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2561]) ).

thf(2703,plain,
    ! [SV518: $i,SV308: $i,SV719: $i,SV913: $i,SV1261: $i,SV1098: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
          | ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2562]) ).

thf(2704,plain,
    ! [SV519: $i,SV309: $i,SV720: $i,SV914: $i,SV1262: $i,SV1099: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
          | ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2563]) ).

thf(2705,plain,
    ! [SV310: $i,SV520: $i,SV721: $i,SV915: $i,SV1263: $i,SV1100: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2564]) ).

thf(2706,plain,
    ! [SV311: $i,SV521: $i,SV722: $i,SV916: $i,SV1264: $i,SV1101: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2565]) ).

thf(2707,plain,
    ! [SV917: $i,SV312: $i,SV522: $i,SV723: $i,SV1265: $i,SV1102: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( ( SV1265 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2566]) ).

thf(2708,plain,
    ! [SV918: $i,SV313: $i,SV523: $i,SV724: $i,SV1266: $i,SV1103: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( ( SV1266 = c_Type_Oty_ONT )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2567]) ).

thf(2709,plain,
    ! [SV725: $i,SV314: $i,SV524: $i,SV919: $i,SV1267: $i,SV1104: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
          | ( SV1267 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2568]) ).

thf(2710,plain,
    ! [SV726: $i,SV315: $i,SV525: $i,SV920: $i,SV1268: $i,SV1105: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
          | ( SV1268 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2569]) ).

thf(2711,plain,
    ! [SV1106: $i,SV1269: $i,SV317: $i,SV527: $i,SV727: $i,SV921: $i,SV93: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV921 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2570]) ).

thf(2712,plain,
    ! [SV1108: $i,SV1271: $i,SV319: $i,SV529: $i,SV729: $i,SV923: $i,SV95: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV923 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2572]) ).

thf(2713,plain,
    ! [SV320: $i,SV530: $i,SV730: $i,SV924: $i,SV1272: $i,SV1109: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2573]) ).

thf(2714,plain,
    ! [SV321: $i,SV531: $i,SV731: $i,SV925: $i,SV1273: $i,SV1110: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2574]) ).

thf(2715,plain,
    ! [SV1423: $i,SV1391: $i,SV1345: $i,SV1274: $i,SV1111: $i,SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        | ~ ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
        | ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2576]) ).

thf(2716,plain,
    ! [SV1424: $i,SV1392: $i,SV1346: $i,SV1275: $i,SV1112: $i,SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        | ~ ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
        | ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2577]) ).

thf(2717,plain,
    ! [SV1425: $i,SV1393: $i,SV1347: $i,SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY6031: $i,SY6032: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
              = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SY6031 @ SY6032 @ SV1113 @ SV1276 ) )
            | ( SV1113
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SY6032 @ SV1276 ) ) )
            | ( SV1113 = c_Type_Oty_ONT )
            | ( SV1113 = c_Type_Oty_OInteger )
            | ( SV1113 = c_Type_Oty_OBoolean )
            | ( SV1113 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2578]) ).

thf(2718,plain,
    ! [SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV1114: $i,SV103: $i,SV1277: $i] :
      ( ( ( SV1277 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1277 = c_Type_Oty_OInteger )
          | ( SV1277 = c_Type_Oty_OBoolean )
          | ( SV1277 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1277
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SV1277 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SV1277 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2579]) ).

thf(2719,plain,
    ! [SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV1115: $i,SV104: $i,SV1278: $i] :
      ( ( ( SV1278 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1278 = c_Type_Oty_OInteger )
          | ( SV1278 = c_Type_Oty_OBoolean )
          | ( SV1278 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1278
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SV1278 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SV1278 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2580]) ).

thf(2720,plain,
    ! [SV742: $i,SV544: $i,SV337: $i,SV1120: $i,SV1280: $i,SV936: $i,SV1348: $i,SV115: $i] :
      ( ( ( ~ ( c_TypeRel_Ohas__field @ SV115 @ SV1348 @ SV936 @ SV1280 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SV1348 ) ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2582]) ).

thf(2721,plain,
    ! [SV1349: $i,SV1281: $i,SV1122: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i,SV938: $i] :
      ( ( ( SV938 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SV1122 @ SV1281 @ SV1349 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2583]) ).

thf(2722,plain,
    ! [SV745: $i,SV939: $i,SV547: $i,SV341: $i,SV119: $i,SV1123: $i] :
      ( ( ( ~ ( c_Type_Ois__refT @ SV1123 ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 ) )
        = $true )
      | ( ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2584]) ).

thf(2723,plain,
    ! [SV749: $i,SV942: $i,SV551: $i,SV345: $i,SV123: $i,SV1126: $i] :
      ( ( ( ~ ( c_Type_Ois__refT @ SV1126 ) )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 ) )
        = $true )
      | ( ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2585]) ).

thf(2724,plain,
    ! [SV1350: $i,SV1284: $i,SV1131: $i,SV952: $i,SV760: $i,SV564: $i,SV358: $i,SV136: $i] :
      ( ( ( SV136 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SV1131 @ SV1284 @ SV1350 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 ) )
        = $true )
      | ( ( SV136 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2590]) ).

thf(2725,plain,
    ! [SV1133: $i,SV954: $i,SV764: $i,SV1351: $i,SV1285: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ( ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV1285 @ SV1351 ) )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SV1285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2591]) ).

thf(2726,plain,
    ! [SV1286: $i,SV765: $i,SV1134: $i,SV955: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SV1134 )
        = $false )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SV1286 ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1134 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2592]) ).

thf(2727,plain,
    ! [SV958: $i,SV768: $i,SV1137: $i,SV572: $i,SV366: $i,SV144: $i] :
      ( ( ( c_WellType_OWT @ SV144 @ SV366 @ SV572 @ SV1137 )
        = $false )
      | ( ( c_WellType_OWT @ SV144 @ SV366 @ SV768 @ SV958 )
        = $false )
      | ( ( c_WellType_OWT @ SV144 @ SV366 @ ( c_Expr_Oexp_OSeq @ SV572 @ SV768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV958 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2728,plain,
    ! [SV1139: $i,SV960: $i,SV770: $i,SV1352: $i,SV1287: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV1287 @ SV1352 ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SV1287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2594]) ).

thf(2729,plain,
    ! [SV1289: $i,SV774: $i,SV1143: $i,SV964: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SV1143 )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SV1289 ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2595]) ).

thf(2730,plain,
    ! [SV581: $i,SV966: $i,SV777: $i,SV1144: $i,SV376: $i,SV154: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV1144 @ SV777 @ SV966 )
        = $false )
      | ( ( c_Map_Omap__le @ SV1144 @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV154 @ SV376 @ SV581 @ SV777 @ SV966 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2596]) ).

thf(2731,plain,
    ! [SV382: $i,SV971: $i,SV782: $i,SV586: $i,SV1146: $i,SV160: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV160 @ SV1146 @ SV586 @ SV782 @ SV971 )
        = $false )
      | ( ( c_Objects_Ohext @ SV1146 @ SV382 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV160 @ SV382 @ SV586 @ SV782 @ SV971 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2732,plain,
    ! [SV785: $i,SV589: $i,SV386: $i,SV1149: $i,SV1293: $i,SV974: $i,SV1353: $i,SV165: $i] :
      ( ( ( ~ ( c_TypeRel_Ohas__field @ SV165 @ SV1353 @ SV974 @ SV1293 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SV1353 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1293 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2600]) ).

thf(2733,plain,
    ! [SV1394: $i,SV1354: $i,SV1294: $i,SV1150: $i,SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
         != ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
        = $true )
      | ( ( ( SV389 = c_Type_Oty_ONT )
          | ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1354 @ SV168 @ SV389 @ SV786 )
            = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1394 @ SV591 @ SV389 @ SV786 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2601]) ).

thf(2734,plain,
    ! [SV1426: $i,SV1395: $i,SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
         != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
        | ( SV392 = c_Type_Oty_ONT )
        | ( SV392 = c_Type_Oty_OInteger )
        | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
          = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1395 @ SV1426 @ SV594 @ SV392 @ SV789 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2603]) ).

thf(2735,plain,
    ! [SV1396: $i,SV1357: $i,SV1297: $i,SV1155: $i,SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
         != ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
        = $true )
      | ( ( ( SV397 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SV1297 @ SV1357 @ SV177 @ SV397 @ SV794 )
            = ( c_Type_Oty_Oty__case @ SV1396 @ SV1155 @ SV1297 @ SV1357 @ SV599 @ SV397 @ SV794 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2604]) ).

thf(2736,plain,
    ! [SV1358: $i,SV1298: $i,SV1156: $i,SV984: $i,SV795: $i,SV600: $i,SV398: $i,SV178: $i] :
      ( ( ( ( hAPP @ SV178 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) )
          = ( hAPP @ SV600 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV398 @ SV178 @ SV600 @ SV795 ) ) )
        = $false )
      | ( ( ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SV1358 @ SV178 @ SV398 @ SV795 )
          = ( c_Type_Oty_Oty__case @ SV984 @ SV1156 @ SV1298 @ SV1358 @ SV600 @ SV398 @ SV795 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2605]) ).

thf(2737,plain,
    ! [SV1397: $i,SV1359: $i,SV1299: $i,SV1157: $i,SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
         != ( c_Expr_Oexp_OFAss @ SV1157 @ SV1299 @ SV1359 @ SV1397 @ SV985 ) )
        = $true )
      | ( ( SV179 = SV1157 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2606]) ).

thf(2738,plain,
    ! [SV1427: $i,SV1398: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY6033: $i,SY6034: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SY6033 @ SY6034 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2608]) ).

thf(2739,plain,
    ! [SV1428: $i,SV1399: $i,SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
         != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
        | ( SV412 = c_Type_Oty_OInteger )
        | ( SV412 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
          = ( c_Type_Oty_Oty__case @ SV995 @ SV1399 @ SV1428 @ SV1361 @ SV614 @ SV412 @ SV808 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2609]) ).

thf(2740,plain,
    ! [SV1400: $i,SV1362: $i,SV1305: $i,SV1166: $i,SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
         != ( c_Expr_Oexp_OFAss @ SV1166 @ SV1305 @ SV1362 @ SV1400 @ SV996 ) )
        = $true )
      | ( ( SV413 = SV1305 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2610]) ).

thf(2741,plain,
    ! [SV1429: $i,SV1401: $i,SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
         != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
        | ( SV418 = c_Type_Oty_ONT )
        | ( SV418 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
          = ( c_Type_Oty_Oty__case @ SV1401 @ SV1171 @ SV1309 @ SV1429 @ SV620 @ SV418 @ SV814 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2613]) ).

thf(2742,plain,
    ! [SV1430: $i,SV1402: $i,SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
         != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
        | ( SV419 = c_Type_Oty_ONT )
        | ( SV419 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
          = ( c_Type_Oty_Oty__case @ SV1002 @ SV1402 @ SV1310 @ SV1430 @ SV621 @ SV419 @ SV815 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2614]) ).

thf(2743,plain,
    ! [SV1403: $i,SV1366: $i,SV1311: $i,SV1173: $i,SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
         != ( c_Expr_Oexp_OFAss @ SV1173 @ SV1311 @ SV1366 @ SV1403 @ SV1003 ) )
        = $true )
      | ( ( SV816 = SV1403 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2615]) ).

thf(2744,plain,
    ! [SV1404: $i,SV1367: $i,SV1312: $i,SV1174: $i,SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
         != ( c_Expr_Oexp_OFAss @ SV1174 @ SV1312 @ SV1367 @ SV1404 @ SV1004 ) )
        = $true )
      | ( ( SV623 = SV1367 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2616]) ).

thf(2745,plain,
    ! [SV1431: $i,SV1405: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ! [SY6035: $i] :
            ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
             != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
            | ( SV424 = c_Type_Oty_ONT )
            | ( SV424 = c_Type_Oty_OInteger )
            | ( SV424 = c_Type_Oty_OBoolean )
            | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
              = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SY6035 @ SV626 @ SV424 @ SV820 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2618]) ).

thf(2746,plain,
    ! [SV1406: $i,SV1369: $i,SV1315: $i,SV1178: $i,SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
         != ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
        = $true )
      | ( ( ( SV426 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SV1315 @ SV1369 @ SV211 @ SV426 @ SV822 )
            = ( c_Type_Oty_Oty__case @ SV1009 @ SV1406 @ SV1315 @ SV1369 @ SV628 @ SV426 @ SV822 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2619]) ).

thf(2747,plain,
    ! [SV1432: $i,SV1407: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ! [SY6036: $i] :
            ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
             != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
            | ( SV427 = c_Type_Oty_ONT )
            | ( SV427 = c_Type_Oty_OBoolean )
            | ( SV427 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
              = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SY6036 @ SV629 @ SV427 @ SV823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2620]) ).

thf(2748,plain,
    ! [SV1433: $i,SV1408: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ! [SY6037: $i] :
            ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
             != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
            | ( SV432 = c_Type_Oty_OInteger )
            | ( SV432 = c_Type_Oty_OBoolean )
            | ( SV432 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
              = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SY6037 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2621]) ).

thf(2749,plain,
    ! [SV1434: $i,SV1409: $i,SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
         != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
        | ( SV435 = c_Type_Oty_OInteger )
        | ( SV435 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
          = ( c_Type_Oty_Oty__case @ SV1409 @ SV1183 @ SV1434 @ SV1372 @ SV636 @ SV435 @ SV830 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2622]) ).

thf(2750,plain,
    ! [SV1435: $i,SV1410: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ! [SY6038: $i] :
            ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
             != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
            | ( SV436 = c_Type_Oty_ONT )
            | ( SV436 = c_Type_Oty_OInteger )
            | ( SV436 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
              = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SY6038 @ SV637 @ SV436 @ SV831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2623]) ).

thf(2751,plain,
    ! [SV1411: $i,SV1374: $i,SV1321: $i,SV1185: $i,SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
         != ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
        = $true )
      | ( ( ( SV437 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1321 @ SV1374 @ SV224 @ SV437 @ SV832 )
            = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1411 @ SV1374 @ SV638 @ SV437 @ SV832 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2624]) ).

thf(2752,plain,
    ! [SV1436: $i,SV1412: $i,SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
         != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
        | ( SV438 = c_Type_Oty_OBoolean )
        | ( SV438 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
          = ( c_Type_Oty_Oty__case @ SV1412 @ SV1436 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2625]) ).

thf(2753,plain,
    ! [SV1: $i,SV1323: $i,SV440: $i,SV835: $i,SV1020: $i,SV641: $i,SV1187: $i,SV227: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV227 @ SV1187 @ SV641 @ ( c_Expr_Oexp_OFAss @ SV1020 @ SV835 @ SV440 @ SV1323 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1 )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV227 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV835 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV440 @ SV641 @ SV835 @ SV227 @ SV1020 @ SV1187 @ SV1323 ) @ SV440 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( SV1 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2626]) ).

thf(2754,plain,
    ! [SV1324: $i,SV1188: $i,SV836: $i,SV1021: $i,SV642: $i,SV441: $i,SV228: $i,SV2: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ ( c_Expr_Oexp_OFAss @ SV642 @ SV1021 @ SV836 @ SV1188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1324 )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV2 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV1021 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ SV836 @ SV441 @ SV1021 @ SV2 @ SV642 @ SV228 @ SV1188 ) @ SV836 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV2 @ SV228 @ SV441 @ SV642 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2627]) ).

thf(2755,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2628]) ).

thf(2756,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2629]) ).

thf(2757,plain,
    ! [SV10: $i,SV1325: $i,SV1025: $i,SV1191: $i,SV840: $i,SV646: $i,SV445: $i,SV234: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ ( c_Expr_Oexp_OFAss @ SV840 @ SV1191 @ SV1025 @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV10 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV234 @ SV445 @ SV646 @ SV840 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1025 @ SV646 @ SV1191 @ SV234 @ SV840 @ SV445 @ SV1325 ) ) )
        = $true )
      | ( ( SV10 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2632]) ).

thf(2758,plain,
    ! [SV1326: $i,SV1192: $i,SV841: $i,SV1026: $i,SV647: $i,SV446: $i,SV235: $i,SV11: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ ( c_Expr_Oexp_OFAss @ SV647 @ SV1026 @ SV841 @ SV1192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1326 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV841 @ SV446 @ SV1026 @ SV11 @ SV647 @ SV235 @ SV1192 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV11 @ SV235 @ SV446 @ SV647 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2633]) ).

thf(2759,plain,
    ! [SV842: $i,SV1027: $i,SV648: $i,SV1193: $i,SV447: $i,SV236: $i,SV12: $i] :
      ( ( ( c_WellType_OWT @ SV12 @ SV236 @ SV447 @ ( c_Type_Oty_OClass @ SV1193 ) )
        = $false )
      | ( ( c_TypeRel_Osees__field @ SV12 @ SV1193 @ SV648 @ SV1027 @ SV842 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV12 @ SV236 @ ( c_Expr_Oexp_OFAcc @ SV447 @ SV648 @ SV842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1027 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2634]) ).

thf(2760,plain,
    ! [SV1327: $i,SV240: $i,SV1194: $i,SV1031: $i,SV16: $i,SV846: $i,SV652: $i,SV451: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SV1194 )
        = $false )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SV1327 @ SV1194 ) )
        = $true )
      | ( ( SV16 = SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2635]) ).

thf(2761,plain,
    ! [SV241: $i,SV1328: $i,SV1195: $i,SV17: $i,SV1032: $i,SV847: $i,SV653: $i,SV452: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SV1195 )
        = $false )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1328 @ SV241 @ SV1195 ) )
        = $true )
      | ( ( SV17 = SV241 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2636]) ).

thf(2762,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2637]) ).

thf(2763,plain,
    ! [SV453: $i,SV848: $i,SV654: $i,SV1376: $i,SV1033: $i,SV243: $i,SV1329: $i,SV1196: $i,SV19: $i] :
      ( ( ( ~ ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
          | ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2638]) ).

thf(2764,plain,
    ! [SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV1034: $i,SV20: $i,SV1197: $i] :
      ( ( ( SV1197 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1197 = c_Type_Oty_OInteger )
          | ( SV1197 = c_Type_Oty_OBoolean )
          | ( SV1197 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2639]) ).

thf(2765,plain,
    ! [SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV1035: $i,SV21: $i,SV1198: $i] :
      ( ( ( SV1198 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1198 = c_Type_Oty_OInteger )
          | ( SV1198 = c_Type_Oty_OBoolean )
          | ( SV1198 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2640]) ).

thf(2766,plain,
    ! [SV851: $i,SV456: $i,SV246: $i,SV1036: $i,SV1199: $i,SV657: $i,SV22: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV657 ) ) )
        = $true )
      | ( ( ( SV1199 = c_Type_Oty_OBoolean )
          | ( SV1199 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1199 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1199
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2641]) ).

thf(2767,plain,
    ! [SV852: $i,SV457: $i,SV247: $i,SV1037: $i,SV1200: $i,SV658: $i,SV23: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV23 @ SV658 ) ) )
        = $true )
      | ( ( ( SV1200 = c_Type_Oty_OBoolean )
          | ( SV1200 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1200 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1200
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2642]) ).

thf(2768,plain,
    ! [SV1437: $i,SV1413: $i,SV1377: $i,SV1330: $i,SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ( SV24 = c_Type_Oty_OBoolean )
        | ( SV24 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
          = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SV1413 @ SV1437 @ SV24 @ SV1201 ) )
        | ( SV24
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SV1437 @ SV1201 ) ) )
        | ( SV24 = c_Type_Oty_ONT ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2643]) ).

thf(2769,plain,
    ! [SV1438: $i,SV1414: $i,SV1378: $i,SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ( SV25 = c_Type_Oty_OInteger )
        | ( SV25 = c_Type_Oty_OBoolean )
        | ( SV25 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
          = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SV1414 @ SV854 @ SV1438 @ SV25 @ SV1202 ) )
        | ( SV25
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SV1438 @ SV1202 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2644]) ).

thf(2770,plain,
    ! [SV661: $i,SV460: $i,SV250: $i,SV1040: $i,SV1203: $i,SV855: $i,SV26: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
        = $false )
      | ( ( ( SV1203 = c_Type_Oty_OInteger )
          | ( SV1203 = c_Type_Oty_OBoolean )
          | ( SV1203 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1203
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2645]) ).

thf(2771,plain,
    ! [SV662: $i,SV461: $i,SV251: $i,SV1041: $i,SV1204: $i,SV856: $i,SV27: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
        = $false )
      | ( ( ( SV1204 = c_Type_Oty_OInteger )
          | ( SV1204 = c_Type_Oty_OBoolean )
          | ( SV1204 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1204
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2646]) ).

thf(2772,plain,
    ! [SV857: $i,SV663: $i,SV462: $i,SV1042: $i,SV252: $i,SV28: $i,SV1205: $i] :
      ( ( ( SV1205 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1205 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) )
        = $true )
      | ( ( SV1205 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1205
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2647]) ).

thf(2773,plain,
    ! [SV1439: $i,SV1415: $i,SV1379: $i,SV1332: $i,SV1206: $i,SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
          = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SV1415 @ SV1439 @ SV1043 @ SV1206 ) )
        | ( SV1043
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SV1439 @ SV1206 ) ) )
        | ( SV1043 = c_Type_Oty_ONT )
        | ( SV1043 = c_Type_Oty_OInteger )
        | ( SV1043 = c_Type_Oty_OBoolean ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2648]) ).

thf(2774,plain,
    ! [SV859: $i,SV665: $i,SV464: $i,SV1044: $i,SV254: $i,SV30: $i,SV1207: $i] :
      ( ( ( SV1207 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1207 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) )
        = $true )
      | ( ( SV1207 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1207
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2649]) ).

thf(2775,plain,
    ! [SV860: $i,SV666: $i,SV255: $i,SV1045: $i,SV465: $i,SV31: $i,SV1208: $i] :
      ( ( ( SV1208 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
          | ( SV1208 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1208 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1208
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2650]) ).

thf(2776,plain,
    ! [SV861: $i,SV667: $i,SV256: $i,SV1046: $i,SV466: $i,SV32: $i,SV1209: $i] :
      ( ( ( SV1209 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
          | ( SV1209 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1209 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1209
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2651]) ).

thf(2777,plain,
    ! [SV1440: $i,SV1416: $i,SV1380: $i,SV1333: $i,SV1210: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ( SV33 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
          = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SV1416 @ SV1440 @ SV33 @ SV1210 ) )
        | ( SV33
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SV1440 @ SV1210 ) ) )
        | ( SV33 = c_Type_Oty_ONT )
        | ( SV33 = c_Type_Oty_OInteger ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2652]) ).

thf(2778,plain,
    ! [SV863: $i,SV468: $i,SV258: $i,SV1048: $i,SV669: $i,SV34: $i,SV1211: $i] :
      ( ( ( SV1211 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
          | ( SV1211 = c_Type_Oty_OBoolean )
          | ( SV1211 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2653]) ).

thf(2779,plain,
    ! [SV864: $i,SV469: $i,SV259: $i,SV1049: $i,SV670: $i,SV35: $i,SV1212: $i] :
      ( ( ( SV1212 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
          | ( SV1212 = c_Type_Oty_OBoolean )
          | ( SV1212 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2654]) ).

thf(2780,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV1050: $i,SV1213: $i,SV865: $i,SV36: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV36 @ SV865 ) ) )
        = $true )
      | ( ( ( SV1213 = c_Type_Oty_OInteger )
          | ( SV1213 = c_Type_Oty_OBoolean )
          | ( SV1213 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2655]) ).

thf(2781,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV1051: $i,SV1214: $i,SV866: $i,SV37: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV37 @ SV866 ) ) )
        = $true )
      | ( ( ( SV1214 = c_Type_Oty_OInteger )
          | ( SV1214 = c_Type_Oty_OBoolean )
          | ( SV1214 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2656]) ).

thf(2782,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV1052: $i,SV262: $i,SV38: $i,SV1215: $i] :
      ( ( ( SV1215 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1215 = c_Type_Oty_OInteger )
          | ( SV1215 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2657]) ).

thf(2783,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV1053: $i,SV263: $i,SV39: $i,SV1216: $i] :
      ( ( ( SV1216 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1216 = c_Type_Oty_OInteger )
          | ( SV1216 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2658]) ).

thf(2784,plain,
    ! [SV869: $i,SV675: $i,SV264: $i,SV1054: $i,SV474: $i,SV40: $i,SV1217: $i] :
      ( ( ( SV1217 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1217 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
          | ( SV1217 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2659]) ).

thf(2785,plain,
    ! [SV870: $i,SV676: $i,SV265: $i,SV1055: $i,SV475: $i,SV41: $i,SV1218: $i] :
      ( ( ( SV1218 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1218 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
          | ( SV1218 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2660]) ).

thf(2786,plain,
    ! [SV1417: $i,SV1381: $i,SV1334: $i,SV1219: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ( SV42 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV42 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
            = ( c_Type_Oty_Oty__case @ SV1334 @ SV1381 @ SV677 @ SV871 @ SV1417 @ SV42 @ SV1219 ) )
          | ( SV42
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SV1417 @ SV1219 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2661]) ).

thf(2787,plain,
    ! [SV477: $i,SV267: $i,SV1057: $i,SV1220: $i,SV678: $i,SV872: $i,SV43: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
          | ( SV1220 = c_Type_Oty_OBoolean )
          | ( SV1220 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2662]) ).

thf(2788,plain,
    ! [SV478: $i,SV268: $i,SV1058: $i,SV1221: $i,SV679: $i,SV873: $i,SV44: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
          | ( SV1221 = c_Type_Oty_OBoolean )
          | ( SV1221 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2663]) ).

thf(2789,plain,
    ! [SV874: $i,SV479: $i,SV1059: $i,SV269: $i,SV1222: $i,SV680: $i,SV45: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV45 @ SV680 ) ) )
        = $true )
      | ( ( ( SV1222 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
        = $true )
      | ( ( SV1222 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2664]) ).

thf(2790,plain,
    ! [SV1418: $i,SV1382: $i,SV1335: $i,SV1223: $i,SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV46: $i] :
      ( ( ( SV46 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
            = ( c_Type_Oty_Oty__case @ SV270 @ SV1335 @ SV681 @ SV1382 @ SV1418 @ SV46 @ SV1223 ) )
          | ( SV46
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SV1418 @ SV1223 ) ) )
          | ( SV46 = c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2665]) ).

thf(2791,plain,
    ! [SV876: $i,SV481: $i,SV1061: $i,SV271: $i,SV1224: $i,SV682: $i,SV47: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV47 @ SV682 ) ) )
        = $true )
      | ( ( ( SV1224 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
        = $true )
      | ( ( SV1224 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2666]) ).

thf(2792,plain,
    ! [SV683: $i,SV482: $i,SV1062: $i,SV272: $i,SV1225: $i,SV877: $i,SV48: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
        = $false )
      | ( ( ( SV1225 = c_Type_Oty_OInteger )
          | ( SV1225 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
        = $true )
      | ( ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2667]) ).

thf(2793,plain,
    ! [SV1419: $i,SV1383: $i,SV1336: $i,SV1226: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ( SV49 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV49 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
            = ( c_Type_Oty_Oty__case @ SV273 @ SV1336 @ SV1383 @ SV878 @ SV1419 @ SV49 @ SV1226 ) )
          | ( SV49
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SV1419 @ SV1226 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2668]) ).

thf(2794,plain,
    ! [SV685: $i,SV484: $i,SV1064: $i,SV274: $i,SV1227: $i,SV879: $i,SV50: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
        = $false )
      | ( ( ( SV1227 = c_Type_Oty_OInteger )
          | ( SV1227 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
        = $true )
      | ( ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2669]) ).

thf(2795,plain,
    ! [SV880: $i,SV275: $i,SV1065: $i,SV1228: $i,SV485: $i,SV686: $i,SV51: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV51 @ SV686 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
          | ( SV1228 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1228 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2670]) ).

thf(2796,plain,
    ! [SV881: $i,SV276: $i,SV1066: $i,SV1229: $i,SV486: $i,SV687: $i,SV52: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV52 @ SV687 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
          | ( SV1229 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1229 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2671]) ).

thf(2797,plain,
    ! [SV1420: $i,SV1384: $i,SV1337: $i,SV1230: $i,SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV53: $i] :
      ( ( ( SV53 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
            = ( c_Type_Oty_Oty__case @ SV1337 @ SV487 @ SV688 @ SV1384 @ SV1420 @ SV53 @ SV1230 ) )
          | ( SV53
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SV1420 @ SV1230 ) ) )
          | ( SV53 = c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2672]) ).

thf(2798,plain,
    ! [SV1421: $i,SV1385: $i,SV1338: $i,SV1231: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ( SV54 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV54 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
            = ( c_Type_Oty_Oty__case @ SV1338 @ SV488 @ SV1385 @ SV883 @ SV1421 @ SV54 @ SV1231 ) )
          | ( SV54
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SV1421 @ SV1231 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2673]) ).

thf(2799,plain,
    ! [SV690: $i,SV279: $i,SV1069: $i,SV489: $i,SV1232: $i,SV884: $i,SV55: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
        = $false )
      | ( ( ( SV1232 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
          | ( SV1232 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2674]) ).

thf(2800,plain,
    ! [SV691: $i,SV280: $i,SV1070: $i,SV490: $i,SV1233: $i,SV885: $i,SV56: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
        = $false )
      | ( ( ( SV1233 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
          | ( SV1233 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2675]) ).

thf(2801,plain,
    ! [SV886: $i,SV692: $i,SV1071: $i,SV281: $i,SV491: $i,SV57: $i,SV1234: $i] :
      ( ( ( SV1234 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
          | ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
        = $true )
      | ( ( SV1234 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2676]) ).

thf(2802,plain,
    ! [SV1422: $i,SV1386: $i,SV1339: $i,SV1235: $i,SV1072: $i,SV887: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
          = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV1339 @ SV1386 @ SV1422 @ SV1072 @ SV1235 ) )
        = $true )
      | ( ( ( SV1072
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SV1422 @ SV1235 ) ) )
          | ( SV1072 = c_Type_Oty_ONT )
          | ( SV1072 = c_Type_Oty_OInteger ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2677]) ).

thf(2803,plain,
    ! [SV888: $i,SV694: $i,SV1073: $i,SV283: $i,SV493: $i,SV59: $i,SV1236: $i] :
      ( ( ( SV1236 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
          | ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
        = $true )
      | ( ( SV1236 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2678]) ).

thf(2804,plain,
    ! [SV494: $i,SV284: $i,SV1074: $i,SV1237: $i,SV695: $i,SV889: $i,SV60: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ SV889 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
          | ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2679]) ).

thf(2805,plain,
    ! [SV495: $i,SV285: $i,SV1075: $i,SV1238: $i,SV696: $i,SV890: $i,SV61: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ SV890 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
          | ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2680]) ).

thf(2806,plain,
    ! [SV891: $i,SV496: $i,SV1076: $i,SV286: $i,SV697: $i,SV62: $i,SV1239: $i] :
      ( ( ( SV1239 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
          | ( SV1239 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2681]) ).

thf(2807,plain,
    ! [SV892: $i,SV497: $i,SV1077: $i,SV287: $i,SV698: $i,SV63: $i,SV1240: $i] :
      ( ( ( SV1240 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
          | ( SV1240 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2682]) ).

thf(2808,plain,
    ! [SV699: $i,SV498: $i,SV1078: $i,SV288: $i,SV1241: $i,SV893: $i,SV64: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ SV893 ) ) )
        = $true )
      | ( ( ( SV1241 = c_Type_Oty_OInteger )
          | ( SV1241 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2683]) ).

thf(2809,plain,
    ! [SV700: $i,SV499: $i,SV1079: $i,SV289: $i,SV1242: $i,SV894: $i,SV65: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV65 @ SV894 ) ) )
        = $true )
      | ( ( ( SV1242 = c_Type_Oty_OInteger )
          | ( SV1242 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2684]) ).

thf(2810,plain,
    ! [SV895: $i,SV290: $i,SV1080: $i,SV500: $i,SV701: $i,SV66: $i,SV1243: $i] :
      ( ( ( SV1243 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
          | ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
          | ( SV1243 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2685]) ).

thf(2811,plain,
    ! [SV896: $i,SV291: $i,SV1081: $i,SV501: $i,SV702: $i,SV67: $i,SV1244: $i] :
      ( ( ( SV1244 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
          | ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
          | ( SV1244 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2686]) ).

thf(2812,plain,
    ! [SV703: $i,SV292: $i,SV1082: $i,SV502: $i,SV1245: $i,SV897: $i,SV68: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ SV897 ) ) )
        = $true )
      | ( ( ( SV1245 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
          | ( SV1245 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2687]) ).

thf(2813,plain,
    ! [SV704: $i,SV293: $i,SV1083: $i,SV503: $i,SV1246: $i,SV898: $i,SV69: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ SV898 ) ) )
        = $true )
      | ( ( ( SV1246 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
          | ( SV1246 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2688]) ).

thf(2814,plain,
    ! [SV899: $i,SV705: $i,SV1084: $i,SV294: $i,SV504: $i,SV70: $i,SV1247: $i] :
      ( ( ( SV1247 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1247 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2689]) ).

thf(2815,plain,
    ! [SV900: $i,SV706: $i,SV1085: $i,SV295: $i,SV505: $i,SV71: $i,SV1248: $i] :
      ( ( ( SV1248 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1248 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2690]) ).

thf(2816,plain,
    ! [SV506: $i,SV1086: $i,SV296: $i,SV1249: $i,SV707: $i,SV901: $i,SV72: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
          | ( SV1249 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true )
      | ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2691]) ).

thf(2817,plain,
    ! [SV1387: $i,SV1340: $i,SV1250: $i,SV73: $i,SV1087: $i,SV902: $i,SV708: $i,SV507: $i,SV297: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV297 @ SV507 @ SV708 @ SV902 @ SV1087 @ SV73 @ SV1250 )
          = ( c_Type_Oty_Oty__case @ SV297 @ SV1340 @ SV708 @ SV902 @ SV1387 @ SV73 @ SV1250 ) )
        = $true )
      | ( ( SV73
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV73 @ SV1087 @ SV1387 @ SV1250 ) ) )
        = $true )
      | ( ( SV73 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2692]) ).

thf(2818,plain,
    ! [SV508: $i,SV1088: $i,SV298: $i,SV1251: $i,SV709: $i,SV903: $i,SV74: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
          | ( SV1251 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true )
      | ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2693]) ).

thf(2819,plain,
    ! [SV1388: $i,SV1341: $i,SV1252: $i,SV75: $i,SV1089: $i,SV904: $i,SV710: $i,SV509: $i,SV299: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV299 @ SV509 @ SV710 @ SV904 @ SV1089 @ SV75 @ SV1252 )
          = ( c_Type_Oty_Oty__case @ SV1341 @ SV509 @ SV710 @ SV904 @ SV1388 @ SV75 @ SV1252 ) )
        = $true )
      | ( ( SV75
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV75 @ SV1089 @ SV1388 @ SV1252 ) ) )
        = $true )
      | ( ( SV75 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2694]) ).

thf(2820,plain,
    ! [SV300: $i,SV1090: $i,SV1253: $i,SV510: $i,SV711: $i,SV905: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
          | ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
          | ( SV1253 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2695]) ).

thf(2821,plain,
    ! [SV301: $i,SV1091: $i,SV1254: $i,SV511: $i,SV712: $i,SV906: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
          | ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
          | ( SV1254 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2696]) ).

thf(2822,plain,
    ! [SV907: $i,SV1092: $i,SV1255: $i,SV302: $i,SV512: $i,SV713: $i,SV78: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV713 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true )
      | ( ( SV1255 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2697]) ).

thf(2823,plain,
    ! [SV1342: $i,SV714: $i,SV513: $i,SV303: $i,SV79: $i,SV1256: $i,SV1389: $i,SV908: $i,SV1093: $i] :
      ( ( ( SV1093
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1093 @ SV908 @ SV1389 @ SV1256 ) ) )
        = $true )
      | ( ( SV1093 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV714 @ SV908 @ SV1093 @ SV1256 )
          = ( c_Type_Oty_Oty__case @ SV79 @ SV303 @ SV513 @ SV1342 @ SV1389 @ SV1093 @ SV1256 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2698]) ).

thf(2824,plain,
    ! [SV909: $i,SV1094: $i,SV1257: $i,SV304: $i,SV514: $i,SV715: $i,SV80: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV715 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true )
      | ( ( SV1257 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2699]) ).

thf(2825,plain,
    ! [SV716: $i,SV1095: $i,SV305: $i,SV515: $i,SV1258: $i,SV910: $i,SV81: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
        = $false )
      | ( ( ( SV1258 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true )
      | ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2700]) ).

thf(2826,plain,
    ! [SV1390: $i,SV1343: $i,SV1259: $i,SV82: $i,SV1096: $i,SV911: $i,SV717: $i,SV516: $i,SV306: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV717 @ SV911 @ SV1096 @ SV82 @ SV1259 )
          = ( c_Type_Oty_Oty__case @ SV306 @ SV516 @ SV1343 @ SV911 @ SV1390 @ SV82 @ SV1259 ) )
        = $true )
      | ( ( SV82
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV82 @ SV1096 @ SV1390 @ SV1259 ) ) )
        = $true )
      | ( ( SV82 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2701]) ).

thf(2827,plain,
    ! [SV718: $i,SV1097: $i,SV307: $i,SV517: $i,SV1260: $i,SV912: $i,SV83: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
        = $false )
      | ( ( ( SV1260 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true )
      | ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2702]) ).

thf(2828,plain,
    ! [SV518: $i,SV1098: $i,SV308: $i,SV1261: $i,SV719: $i,SV913: $i,SV84: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV913 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
          | ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2703]) ).

thf(2829,plain,
    ! [SV519: $i,SV1099: $i,SV309: $i,SV1262: $i,SV720: $i,SV914: $i,SV85: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV914 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
          | ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2704]) ).

thf(2830,plain,
    ! [SV310: $i,SV1100: $i,SV1263: $i,SV520: $i,SV721: $i,SV915: $i,SV86: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV915 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2705]) ).

thf(2831,plain,
    ! [SV311: $i,SV1101: $i,SV1264: $i,SV521: $i,SV722: $i,SV916: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV916 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2706]) ).

thf(2832,plain,
    ! [SV917: $i,SV1102: $i,SV312: $i,SV522: $i,SV723: $i,SV88: $i,SV1265: $i] :
      ( ( ( SV1265 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2707]) ).

thf(2833,plain,
    ! [SV918: $i,SV1103: $i,SV313: $i,SV523: $i,SV724: $i,SV89: $i,SV1266: $i] :
      ( ( ( SV1266 = c_Type_Oty_ONT )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2708]) ).

thf(2834,plain,
    ! [SV725: $i,SV1104: $i,SV314: $i,SV524: $i,SV1267: $i,SV919: $i,SV90: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV919 ) ) )
        = $true )
      | ( ( ( SV1267 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2709]) ).

thf(2835,plain,
    ! [SV726: $i,SV1105: $i,SV315: $i,SV525: $i,SV1268: $i,SV920: $i,SV91: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV920 ) ) )
        = $true )
      | ( ( ( SV1268 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2710]) ).

thf(2836,plain,
    ! [SV1106: $i,SV1269: $i,SV317: $i,SV527: $i,SV727: $i,SV921: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2711]) ).

thf(2837,plain,
    ! [SV1108: $i,SV1271: $i,SV319: $i,SV529: $i,SV729: $i,SV923: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2712]) ).

thf(2838,plain,
    ! [SV1272: $i,SV1109: $i,SV320: $i,SV530: $i,SV730: $i,SV924: $i,SV96: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV924 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2713]) ).

thf(2839,plain,
    ! [SV1273: $i,SV1110: $i,SV321: $i,SV531: $i,SV731: $i,SV925: $i,SV97: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV925 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2714]) ).

thf(2840,plain,
    ! [SV1423: $i,SV1391: $i,SV1345: $i,SV1274: $i,SV1111: $i,SV927: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
          | ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2715]) ).

thf(2841,plain,
    ! [SV1424: $i,SV1392: $i,SV1346: $i,SV1275: $i,SV1112: $i,SV928: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true )
      | ( ( ~ ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
          | ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2716]) ).

thf(2842,plain,
    ! [SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ! [SY6039: $i] :
            ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
              = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SY6039 @ SV1113 @ SV1276 ) )
            | ( SV1113
              = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SY6039 @ SV1276 ) ) )
            | ( SV1113 = c_Type_Oty_ONT )
            | ( SV1113 = c_Type_Oty_OInteger )
            | ( SV1113 = c_Type_Oty_OBoolean )
            | ( SV1113 = c_Type_Oty_OVoid ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2717]) ).

thf(2843,plain,
    ! [SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV1114: $i,SV103: $i,SV1277: $i] :
      ( ( ( SV1277 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1277 = c_Type_Oty_OBoolean )
          | ( SV1277 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1277 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1277
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SV1277 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SV1277 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2718]) ).

thf(2844,plain,
    ! [SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV1115: $i,SV104: $i,SV1278: $i] :
      ( ( ( SV1278 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1278 = c_Type_Oty_OBoolean )
          | ( SV1278 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1278 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1278
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SV1278 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SV1278 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2719]) ).

thf(2845,plain,
    ! [SV742: $i,SV544: $i,SV337: $i,SV1120: $i,SV1280: $i,SV936: $i,SV1348: $i,SV115: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV115 @ SV1348 @ SV936 @ SV1280 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SV1348 ) ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2720]) ).

thf(2846,plain,
    ! [SV938: $i,SV1349: $i,SV1281: $i,SV1122: $i,SV744: $i,SV546: $i,SV339: $i,SV117: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ ( c_Expr_Oexp_OFAss @ SV744 @ SV1122 @ SV1281 @ SV1349 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV938 )
        = $false )
      | ( ( SV938 = c_Type_Oty_OVoid )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV117 @ SV339 @ SV546 @ SV744 @ c_Type_Oty_ONT )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2721]) ).

thf(2847,plain,
    ! [SV745: $i,SV939: $i,SV547: $i,SV341: $i,SV119: $i,SV1123: $i] :
      ( ( ( c_Type_Ois__refT @ SV1123 )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 ) )
        = $true )
      | ( ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2722]) ).

thf(2848,plain,
    ! [SV749: $i,SV942: $i,SV551: $i,SV345: $i,SV123: $i,SV1126: $i] :
      ( ( ( c_Type_Ois__refT @ SV1126 )
        = $false )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 ) )
        = $true )
      | ( ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2723]) ).

thf(2849,plain,
    ! [SV136: $i,SV1350: $i,SV1284: $i,SV1131: $i,SV952: $i,SV760: $i,SV564: $i,SV358: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV358 @ SV564 @ SV760 @ ( c_Expr_Oexp_OFAss @ SV952 @ SV1131 @ SV1284 @ SV1350 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV136 )
        = $false )
      | ( ( SV136 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV136 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2724]) ).

thf(2850,plain,
    ! [SV1133: $i,SV954: $i,SV764: $i,SV1351: $i,SV1285: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV1285 @ SV1351 )
        = $false )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SV1285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2725]) ).

thf(2851,plain,
    ! [SV1134: $i,SV955: $i,SV1286: $i,SV765: $i,SV569: $i,SV363: $i,SV141: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV765 @ SV1286 )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ SV955 @ SV1134 )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV141 @ SV363 @ SV569 @ ( c_Expr_Oexp_OSeq @ SV765 @ SV955 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1134 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2726]) ).

thf(2852,plain,
    ! [SV1139: $i,SV960: $i,SV770: $i,SV1352: $i,SV1287: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV1287 @ SV1352 )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SV1287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2728]) ).

thf(2853,plain,
    ! [SV1143: $i,SV964: $i,SV1289: $i,SV774: $i,SV578: $i,SV372: $i,SV150: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV774 @ SV1289 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ SV964 @ SV1143 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV150 @ SV372 @ SV578 @ ( c_Expr_Oexp_OSeq @ SV774 @ SV964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2729]) ).

thf(2854,plain,
    ! [SV785: $i,SV589: $i,SV386: $i,SV1149: $i,SV1293: $i,SV974: $i,SV1353: $i,SV165: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV165 @ SV1353 @ SV974 @ SV1293 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SV1353 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1293 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2732]) ).

thf(2855,plain,
    ! [SV1394: $i,SV1354: $i,SV1294: $i,SV1150: $i,SV975: $i,SV786: $i,SV591: $i,SV389: $i,SV168: $i] :
      ( ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
          = ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
        = $false )
      | ( ( ( SV389 = c_Type_Oty_ONT )
          | ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1354 @ SV168 @ SV389 @ SV786 )
            = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1394 @ SV591 @ SV389 @ SV786 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2733]) ).

thf(2856,plain,
    ! [SV1426: $i,SV1395: $i,SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
         != ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
        = $true )
      | ( ( ( SV392 = c_Type_Oty_ONT )
          | ( SV392 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
            = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1395 @ SV1426 @ SV594 @ SV392 @ SV789 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2734]) ).

thf(2857,plain,
    ! [SV1396: $i,SV1357: $i,SV1297: $i,SV1155: $i,SV983: $i,SV794: $i,SV599: $i,SV397: $i,SV177: $i] :
      ( ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
          = ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
        = $false )
      | ( ( ( SV397 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SV1297 @ SV1357 @ SV177 @ SV397 @ SV794 )
            = ( c_Type_Oty_Oty__case @ SV1396 @ SV1155 @ SV1297 @ SV1357 @ SV599 @ SV397 @ SV794 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2735]) ).

thf(2858,plain,
    ! [SV1397: $i,SV1359: $i,SV1299: $i,SV1157: $i,SV985: $i,SV796: $i,SV601: $i,SV399: $i,SV179: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV179 @ SV399 @ SV601 @ SV796 @ SV985 )
          = ( c_Expr_Oexp_OFAss @ SV1157 @ SV1299 @ SV1359 @ SV1397 @ SV985 ) )
        = $false )
      | ( ( SV179 = SV1157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2737]) ).

thf(2859,plain,
    ! [SV1442: $i,SV1427: $i,SV1398: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ! [SY6040: $i] :
            ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
             != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
            | ( SV404 = c_Type_Oty_ONT )
            | ( SV404 = c_Type_Oty_OInteger )
            | ( SV404 = c_Type_Oty_OBoolean )
            | ( SV404 = c_Type_Oty_OVoid )
            | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
              = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SY6040 @ SV606 @ SV404 @ SV801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2738]) ).

thf(2860,plain,
    ! [SV1428: $i,SV1399: $i,SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
         != ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
        = $true )
      | ( ( ( SV412 = c_Type_Oty_OInteger )
          | ( SV412 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
            = ( c_Type_Oty_Oty__case @ SV995 @ SV1399 @ SV1428 @ SV1361 @ SV614 @ SV412 @ SV808 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2739]) ).

thf(2861,plain,
    ! [SV1400: $i,SV1362: $i,SV1305: $i,SV1166: $i,SV996: $i,SV809: $i,SV615: $i,SV413: $i,SV194: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV194 @ SV413 @ SV615 @ SV809 @ SV996 )
          = ( c_Expr_Oexp_OFAss @ SV1166 @ SV1305 @ SV1362 @ SV1400 @ SV996 ) )
        = $false )
      | ( ( SV413 = SV1305 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2740]) ).

thf(2862,plain,
    ! [SV1429: $i,SV1401: $i,SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
         != ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
        = $true )
      | ( ( ( SV418 = c_Type_Oty_ONT )
          | ( SV418 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
            = ( c_Type_Oty_Oty__case @ SV1401 @ SV1171 @ SV1309 @ SV1429 @ SV620 @ SV418 @ SV814 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2741]) ).

thf(2863,plain,
    ! [SV1430: $i,SV1402: $i,SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
         != ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
        = $true )
      | ( ( ( SV419 = c_Type_Oty_ONT )
          | ( SV419 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
            = ( c_Type_Oty_Oty__case @ SV1002 @ SV1402 @ SV1310 @ SV1430 @ SV621 @ SV419 @ SV815 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2742]) ).

thf(2864,plain,
    ! [SV1403: $i,SV1366: $i,SV1311: $i,SV1173: $i,SV1003: $i,SV816: $i,SV622: $i,SV420: $i,SV202: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV202 @ SV420 @ SV622 @ SV816 @ SV1003 )
          = ( c_Expr_Oexp_OFAss @ SV1173 @ SV1311 @ SV1366 @ SV1403 @ SV1003 ) )
        = $false )
      | ( ( SV816 = SV1403 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2743]) ).

thf(2865,plain,
    ! [SV1404: $i,SV1367: $i,SV1312: $i,SV1174: $i,SV1004: $i,SV817: $i,SV623: $i,SV421: $i,SV203: $i] :
      ( ( ( ( c_Expr_Oexp_OFAss @ SV203 @ SV421 @ SV623 @ SV817 @ SV1004 )
          = ( c_Expr_Oexp_OFAss @ SV1174 @ SV1312 @ SV1367 @ SV1404 @ SV1004 ) )
        = $false )
      | ( ( SV623 = SV1367 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2744]) ).

thf(2866,plain,
    ! [SV1443: $i,SV1431: $i,SV1405: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
         != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
        | ( SV424 = c_Type_Oty_ONT )
        | ( SV424 = c_Type_Oty_OInteger )
        | ( SV424 = c_Type_Oty_OBoolean )
        | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
          = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SV1443 @ SV626 @ SV424 @ SV820 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2745]) ).

thf(2867,plain,
    ! [SV1406: $i,SV1369: $i,SV1315: $i,SV1178: $i,SV1009: $i,SV822: $i,SV628: $i,SV426: $i,SV211: $i] :
      ( ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
          = ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
        = $false )
      | ( ( ( SV426 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SV1315 @ SV1369 @ SV211 @ SV426 @ SV822 )
            = ( c_Type_Oty_Oty__case @ SV1009 @ SV1406 @ SV1315 @ SV1369 @ SV628 @ SV426 @ SV822 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2746]) ).

thf(2868,plain,
    ! [SV1444: $i,SV1432: $i,SV1407: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
         != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
        | ( SV427 = c_Type_Oty_ONT )
        | ( SV427 = c_Type_Oty_OBoolean )
        | ( SV427 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
          = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SV1444 @ SV629 @ SV427 @ SV823 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2747]) ).

thf(2869,plain,
    ! [SV1445: $i,SV1433: $i,SV1408: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
         != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
        | ( SV432 = c_Type_Oty_OInteger )
        | ( SV432 = c_Type_Oty_OBoolean )
        | ( SV432 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
          = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SV1445 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2748]) ).

thf(2870,plain,
    ! [SV1434: $i,SV1409: $i,SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
         != ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
        = $true )
      | ( ( ( SV435 = c_Type_Oty_OInteger )
          | ( SV435 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
            = ( c_Type_Oty_Oty__case @ SV1409 @ SV1183 @ SV1434 @ SV1372 @ SV636 @ SV435 @ SV830 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2749]) ).

thf(2871,plain,
    ! [SV1446: $i,SV1435: $i,SV1410: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
         != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
        | ( SV436 = c_Type_Oty_ONT )
        | ( SV436 = c_Type_Oty_OInteger )
        | ( SV436 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
          = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SV1446 @ SV637 @ SV436 @ SV831 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2750]) ).

thf(2872,plain,
    ! [SV1411: $i,SV1374: $i,SV1321: $i,SV1185: $i,SV1017: $i,SV832: $i,SV638: $i,SV437: $i,SV224: $i] :
      ( ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
          = ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
        = $false )
      | ( ( ( SV437 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1321 @ SV1374 @ SV224 @ SV437 @ SV832 )
            = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1411 @ SV1374 @ SV638 @ SV437 @ SV832 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2751]) ).

thf(2873,plain,
    ! [SV1436: $i,SV1412: $i,SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
         != ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
        = $true )
      | ( ( ( SV438 = c_Type_Oty_OBoolean )
          | ( SV438 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
            = ( c_Type_Oty_Oty__case @ SV1412 @ SV1436 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2752]) ).

thf(2874,plain,
    ! [SV230: $i,SV5: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OVoid ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OBoolean ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ SV5 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV5 @ SV230 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2755]) ).

thf(2875,plain,
    ! [SV231: $i,SV7: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OVoid ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OBoolean ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ SV7 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV7 @ SV231 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(2876,plain,
    ! [SV1031: $i,SV16: $i,SV1194: $i,SV1327: $i,SV240: $i,SV846: $i,SV652: $i,SV451: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV240 @ SV1327 @ SV1194 )
        = $false )
      | ( ( c_TypeRel_Osees__field @ SV451 @ SV652 @ SV846 @ SV16 @ SV1031 @ SV1194 )
        = $false )
      | ( ( SV16 = SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2760]) ).

thf(2877,plain,
    ! [SV17: $i,SV1032: $i,SV1195: $i,SV241: $i,SV1328: $i,SV847: $i,SV653: $i,SV452: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1328 @ SV241 @ SV1195 )
        = $false )
      | ( ( c_TypeRel_Osees__field @ SV452 @ SV653 @ SV847 @ SV1032 @ SV17 @ SV1195 )
        = $false )
      | ( ( SV17 = SV241 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2761]) ).

thf(2878,plain,
    ! [SV242: $i,SV18: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OVoid ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OBoolean ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_OInteger ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ c_Type_Oty_ONT ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ SV18 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV18 @ SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2762]) ).

thf(2879,plain,
    ! [SV453: $i,SV848: $i,SV654: $i,SV1376: $i,SV1033: $i,SV243: $i,SV1329: $i,SV1196: $i,SV19: $i] :
      ( ( ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
          | ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2763]) ).

thf(2880,plain,
    ! [SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV1034: $i,SV20: $i,SV1197: $i] :
      ( ( ( SV1197 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1197 = c_Type_Oty_OBoolean )
          | ( SV1197 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1197 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2764]) ).

thf(2881,plain,
    ! [SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV1035: $i,SV21: $i,SV1198: $i] :
      ( ( ( SV1198 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1198 = c_Type_Oty_OBoolean )
          | ( SV1198 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1198 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2765]) ).

thf(2882,plain,
    ! [SV851: $i,SV456: $i,SV246: $i,SV1036: $i,SV1199: $i,SV657: $i,SV22: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
        = $false )
      | ( ( ( SV1199 = c_Type_Oty_OBoolean )
          | ( SV1199 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1199 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1199
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2766]) ).

thf(2883,plain,
    ! [SV852: $i,SV457: $i,SV247: $i,SV1037: $i,SV1200: $i,SV658: $i,SV23: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
        = $false )
      | ( ( ( SV1200 = c_Type_Oty_OBoolean )
          | ( SV1200 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1200 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1200
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2767]) ).

thf(2884,plain,
    ! [SV1437: $i,SV1413: $i,SV1377: $i,SV1330: $i,SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ( SV24 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV24 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
            = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SV1413 @ SV1437 @ SV24 @ SV1201 ) )
          | ( SV24
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SV1437 @ SV1201 ) ) )
          | ( SV24 = c_Type_Oty_ONT ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2768]) ).

thf(2885,plain,
    ! [SV1438: $i,SV1414: $i,SV1378: $i,SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ( SV25 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV25 = c_Type_Oty_OBoolean )
          | ( SV25 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
            = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SV1414 @ SV854 @ SV1438 @ SV25 @ SV1202 ) )
          | ( SV25
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SV1438 @ SV1202 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2769]) ).

thf(2886,plain,
    ! [SV661: $i,SV460: $i,SV250: $i,SV1040: $i,SV855: $i,SV26: $i,SV1203: $i] :
      ( ( ( SV1203 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1203 = c_Type_Oty_OBoolean )
          | ( SV1203 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
        = $false )
      | ( ( SV1203
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2770]) ).

thf(2887,plain,
    ! [SV662: $i,SV461: $i,SV251: $i,SV1041: $i,SV856: $i,SV27: $i,SV1204: $i] :
      ( ( ( SV1204 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1204 = c_Type_Oty_OBoolean )
          | ( SV1204 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
        = $false )
      | ( ( SV1204
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2771]) ).

thf(2888,plain,
    ! [SV857: $i,SV663: $i,SV462: $i,SV1042: $i,SV252: $i,SV28: $i,SV1205: $i] :
      ( ( ( SV1205 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV28 @ SV252 ) ) )
        = $true )
      | ( ( SV1205 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1205 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1205
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2772]) ).

thf(2889,plain,
    ! [SV1439: $i,SV1415: $i,SV1379: $i,SV1332: $i,SV1206: $i,SV1043: $i,SV858: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
          = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SV1415 @ SV1439 @ SV1043 @ SV1206 ) )
        = $true )
      | ( ( ( SV1043
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SV1439 @ SV1206 ) ) )
          | ( SV1043 = c_Type_Oty_ONT )
          | ( SV1043 = c_Type_Oty_OInteger )
          | ( SV1043 = c_Type_Oty_OBoolean ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2773]) ).

thf(2890,plain,
    ! [SV859: $i,SV665: $i,SV464: $i,SV1044: $i,SV254: $i,SV30: $i,SV1207: $i] :
      ( ( ( SV1207 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV30 @ SV254 ) ) )
        = $true )
      | ( ( SV1207 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1207 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1207
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2774]) ).

thf(2891,plain,
    ! [SV860: $i,SV666: $i,SV255: $i,SV1045: $i,SV1208: $i,SV465: $i,SV31: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV31 @ SV465 ) ) )
        = $true )
      | ( ( SV1208 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1208 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1208 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1208
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2775]) ).

thf(2892,plain,
    ! [SV861: $i,SV667: $i,SV256: $i,SV1046: $i,SV1209: $i,SV466: $i,SV32: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV32 @ SV466 ) ) )
        = $true )
      | ( ( SV1209 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1209 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1209 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1209
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2776]) ).

thf(2893,plain,
    ! [SV1440: $i,SV1416: $i,SV1380: $i,SV1333: $i,SV1210: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV33: $i] :
      ( ( ( SV33 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
            = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SV1416 @ SV1440 @ SV33 @ SV1210 ) )
          | ( SV33
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SV1440 @ SV1210 ) ) )
          | ( SV33 = c_Type_Oty_ONT )
          | ( SV33 = c_Type_Oty_OInteger ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2777]) ).

thf(2894,plain,
    ! [SV863: $i,SV468: $i,SV258: $i,SV1048: $i,SV1211: $i,SV669: $i,SV34: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ SV669 ) ) )
        = $true )
      | ( ( ( SV1211 = c_Type_Oty_OBoolean )
          | ( SV1211 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1211 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2778]) ).

thf(2895,plain,
    ! [SV864: $i,SV469: $i,SV259: $i,SV1049: $i,SV1212: $i,SV670: $i,SV35: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV35 @ SV670 ) ) )
        = $true )
      | ( ( ( SV1212 = c_Type_Oty_OBoolean )
          | ( SV1212 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1212 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2779]) ).

thf(2896,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV1050: $i,SV1213: $i,SV865: $i,SV36: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
        = $false )
      | ( ( ( SV1213 = c_Type_Oty_OInteger )
          | ( SV1213 = c_Type_Oty_OBoolean )
          | ( SV1213 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2780]) ).

thf(2897,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV1051: $i,SV1214: $i,SV866: $i,SV37: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
        = $false )
      | ( ( ( SV1214 = c_Type_Oty_OInteger )
          | ( SV1214 = c_Type_Oty_OBoolean )
          | ( SV1214 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2781]) ).

thf(2898,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV1052: $i,SV262: $i,SV38: $i,SV1215: $i] :
      ( ( ( SV1215 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1215 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
        = $true )
      | ( ( SV1215 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2782]) ).

thf(2899,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV1053: $i,SV263: $i,SV39: $i,SV1216: $i] :
      ( ( ( SV1216 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1216 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
        = $true )
      | ( ( SV1216 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2783]) ).

thf(2900,plain,
    ! [SV869: $i,SV675: $i,SV264: $i,SV1054: $i,SV474: $i,SV40: $i,SV1217: $i] :
      ( ( ( SV1217 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
          | ( SV1217 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1217 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2784]) ).

thf(2901,plain,
    ! [SV870: $i,SV676: $i,SV265: $i,SV1055: $i,SV475: $i,SV41: $i,SV1218: $i] :
      ( ( ( SV1218 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
          | ( SV1218 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1218 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2785]) ).

thf(2902,plain,
    ! [SV1417: $i,SV1381: $i,SV1334: $i,SV1219: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i,SV42: $i] :
      ( ( ( SV42 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
            = ( c_Type_Oty_Oty__case @ SV1334 @ SV1381 @ SV677 @ SV871 @ SV1417 @ SV42 @ SV1219 ) )
          | ( SV42
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SV1417 @ SV1219 ) ) ) )
        = $true )
      | ( ( SV42 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2786]) ).

thf(2903,plain,
    ! [SV477: $i,SV267: $i,SV1057: $i,SV872: $i,SV1220: $i,SV678: $i,SV43: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV43 @ SV678 ) ) )
        = $true )
      | ( ( ( SV1220 = c_Type_Oty_OBoolean )
          | ( SV1220 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
        = $false )
      | ( ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2787]) ).

thf(2904,plain,
    ! [SV478: $i,SV268: $i,SV1058: $i,SV873: $i,SV1221: $i,SV679: $i,SV44: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV44 @ SV679 ) ) )
        = $true )
      | ( ( ( SV1221 = c_Type_Oty_OBoolean )
          | ( SV1221 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
        = $false )
      | ( ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2788]) ).

thf(2905,plain,
    ! [SV874: $i,SV479: $i,SV1059: $i,SV269: $i,SV1222: $i,SV680: $i,SV45: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
        = $false )
      | ( ( ( SV1222 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
        = $true )
      | ( ( SV1222 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2789]) ).

thf(2906,plain,
    ! [SV1418: $i,SV1382: $i,SV1335: $i,SV1223: $i,SV46: $i,SV1060: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
          = ( c_Type_Oty_Oty__case @ SV270 @ SV1335 @ SV681 @ SV1382 @ SV1418 @ SV46 @ SV1223 ) )
        = $true )
      | ( ( ( SV46
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SV1418 @ SV1223 ) ) )
          | ( SV46 = c_Type_Oty_ONT ) )
        = $true )
      | ( ( SV46 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2790]) ).

thf(2907,plain,
    ! [SV876: $i,SV481: $i,SV1061: $i,SV271: $i,SV1224: $i,SV682: $i,SV47: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
        = $false )
      | ( ( ( SV1224 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
        = $true )
      | ( ( SV1224 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2791]) ).

thf(2908,plain,
    ! [SV683: $i,SV482: $i,SV1062: $i,SV877: $i,SV272: $i,SV48: $i,SV1225: $i] :
      ( ( ( SV1225 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1225 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
        = $false )
      | ( ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2792]) ).

thf(2909,plain,
    ! [SV1419: $i,SV1383: $i,SV1336: $i,SV1226: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i,SV49: $i] :
      ( ( ( SV49 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
            = ( c_Type_Oty_Oty__case @ SV273 @ SV1336 @ SV1383 @ SV878 @ SV1419 @ SV49 @ SV1226 ) )
          | ( SV49
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SV1419 @ SV1226 ) ) ) )
        = $true )
      | ( ( SV49 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2793]) ).

thf(2910,plain,
    ! [SV685: $i,SV484: $i,SV1064: $i,SV879: $i,SV274: $i,SV50: $i,SV1227: $i] :
      ( ( ( SV1227 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1227 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
        = $false )
      | ( ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2794]) ).

thf(2911,plain,
    ! [SV880: $i,SV275: $i,SV1065: $i,SV1228: $i,SV485: $i,SV686: $i,SV51: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
          | ( SV1228 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1228 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2795]) ).

thf(2912,plain,
    ! [SV881: $i,SV276: $i,SV1066: $i,SV1229: $i,SV486: $i,SV687: $i,SV52: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
          | ( SV1229 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1229 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2796]) ).

thf(2913,plain,
    ! [SV1420: $i,SV1384: $i,SV1337: $i,SV1230: $i,SV53: $i,SV1067: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
          = ( c_Type_Oty_Oty__case @ SV1337 @ SV487 @ SV688 @ SV1384 @ SV1420 @ SV53 @ SV1230 ) )
        = $true )
      | ( ( ( SV53
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SV1420 @ SV1230 ) ) )
          | ( SV53 = c_Type_Oty_ONT ) )
        = $true )
      | ( ( SV53 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2797]) ).

thf(2914,plain,
    ! [SV1421: $i,SV1385: $i,SV1338: $i,SV1231: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i,SV54: $i] :
      ( ( ( SV54 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
            = ( c_Type_Oty_Oty__case @ SV1338 @ SV488 @ SV1385 @ SV883 @ SV1421 @ SV54 @ SV1231 ) )
          | ( SV54
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SV1421 @ SV1231 ) ) ) )
        = $true )
      | ( ( SV54 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2798]) ).

thf(2915,plain,
    ! [SV690: $i,SV279: $i,SV1069: $i,SV884: $i,SV489: $i,SV55: $i,SV1232: $i] :
      ( ( ( SV1232 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
          | ( SV1232 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
        = $false )
      | ( ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2799]) ).

thf(2916,plain,
    ! [SV691: $i,SV280: $i,SV1070: $i,SV885: $i,SV490: $i,SV56: $i,SV1233: $i] :
      ( ( ( SV1233 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
          | ( SV1233 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
        = $false )
      | ( ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2800]) ).

thf(2917,plain,
    ! [SV886: $i,SV692: $i,SV1071: $i,SV1234: $i,SV281: $i,SV491: $i,SV57: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ SV491 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
        = $true )
      | ( ( SV1234 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1234 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2801]) ).

thf(2918,plain,
    ! [SV1386: $i,SV1339: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i,SV1235: $i,SV1422: $i,SV887: $i,SV1072: $i] :
      ( ( ( SV1072
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SV1422 @ SV1235 ) ) )
        = $true )
      | ( ( ( SV1072 = c_Type_Oty_ONT )
          | ( SV1072 = c_Type_Oty_OInteger ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
          = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV1339 @ SV1386 @ SV1422 @ SV1072 @ SV1235 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2802]) ).

thf(2919,plain,
    ! [SV888: $i,SV694: $i,SV1073: $i,SV1236: $i,SV283: $i,SV493: $i,SV59: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV59 @ SV493 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
        = $true )
      | ( ( SV1236 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1236 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2803]) ).

thf(2920,plain,
    ! [SV494: $i,SV284: $i,SV1074: $i,SV1237: $i,SV695: $i,SV889: $i,SV60: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
          | ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2804]) ).

thf(2921,plain,
    ! [SV495: $i,SV285: $i,SV1075: $i,SV1238: $i,SV696: $i,SV890: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
          | ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2805]) ).

thf(2922,plain,
    ! [SV891: $i,SV496: $i,SV1076: $i,SV286: $i,SV1239: $i,SV697: $i,SV62: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV62 @ SV697 ) ) )
        = $true )
      | ( ( ( SV1239 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true )
      | ( ( SV1239 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2806]) ).

thf(2923,plain,
    ! [SV892: $i,SV497: $i,SV1077: $i,SV287: $i,SV1240: $i,SV698: $i,SV63: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV63 @ SV698 ) ) )
        = $true )
      | ( ( ( SV1240 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true )
      | ( ( SV1240 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2807]) ).

thf(2924,plain,
    ! [SV699: $i,SV498: $i,SV1078: $i,SV288: $i,SV1241: $i,SV893: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
        = $false )
      | ( ( ( SV1241 = c_Type_Oty_OInteger )
          | ( SV1241 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2808]) ).

thf(2925,plain,
    ! [SV700: $i,SV499: $i,SV1079: $i,SV289: $i,SV1242: $i,SV894: $i,SV65: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
        = $false )
      | ( ( ( SV1242 = c_Type_Oty_OInteger )
          | ( SV1242 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2809]) ).

thf(2926,plain,
    ! [SV895: $i,SV290: $i,SV1080: $i,SV1243: $i,SV500: $i,SV701: $i,SV66: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ SV701 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
          | ( SV1243 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1243 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2810]) ).

thf(2927,plain,
    ! [SV896: $i,SV291: $i,SV1081: $i,SV1244: $i,SV501: $i,SV702: $i,SV67: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ SV702 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
          | ( SV1244 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1244 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2811]) ).

thf(2928,plain,
    ! [SV703: $i,SV292: $i,SV1082: $i,SV502: $i,SV1245: $i,SV897: $i,SV68: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
        = $false )
      | ( ( ( SV1245 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
          | ( SV1245 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2812]) ).

thf(2929,plain,
    ! [SV704: $i,SV293: $i,SV1083: $i,SV503: $i,SV1246: $i,SV898: $i,SV69: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
        = $false )
      | ( ( ( SV1246 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
          | ( SV1246 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2813]) ).

thf(2930,plain,
    ! [SV899: $i,SV705: $i,SV1084: $i,SV294: $i,SV504: $i,SV70: $i,SV1247: $i] :
      ( ( ( SV1247 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
          | ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true )
      | ( ( SV1247 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2814]) ).

thf(2931,plain,
    ! [SV900: $i,SV706: $i,SV1085: $i,SV295: $i,SV505: $i,SV71: $i,SV1248: $i] :
      ( ( ( SV1248 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
          | ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true )
      | ( ( SV1248 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2815]) ).

thf(2932,plain,
    ! [SV506: $i,SV1086: $i,SV901: $i,SV296: $i,SV1249: $i,SV707: $i,SV72: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ SV707 ) ) )
        = $true )
      | ( ( ( SV1249 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
        = $false )
      | ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2816]) ).

thf(2933,plain,
    ! [SV508: $i,SV1088: $i,SV903: $i,SV298: $i,SV1251: $i,SV709: $i,SV74: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ SV709 ) ) )
        = $true )
      | ( ( ( SV1251 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
        = $false )
      | ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2818]) ).

thf(2934,plain,
    ! [SV300: $i,SV1090: $i,SV905: $i,SV1253: $i,SV510: $i,SV711: $i,SV76: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV711 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
          | ( SV1253 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
        = $false )
      | ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2820]) ).

thf(2935,plain,
    ! [SV301: $i,SV1091: $i,SV906: $i,SV1254: $i,SV511: $i,SV712: $i,SV77: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV712 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
          | ( SV1254 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
        = $false )
      | ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2821]) ).

thf(2936,plain,
    ! [SV907: $i,SV1092: $i,SV1255: $i,SV302: $i,SV512: $i,SV713: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
          | ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true )
      | ( ( SV1255 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2822]) ).

thf(2937,plain,
    ! [SV909: $i,SV1094: $i,SV1257: $i,SV304: $i,SV514: $i,SV715: $i,SV80: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
          | ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true )
      | ( ( SV1257 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2824]) ).

thf(2938,plain,
    ! [SV716: $i,SV1095: $i,SV910: $i,SV305: $i,SV515: $i,SV81: $i,SV1258: $i] :
      ( ( ( SV1258 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
          | ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
        = $false )
      | ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2825]) ).

thf(2939,plain,
    ! [SV718: $i,SV1097: $i,SV912: $i,SV307: $i,SV517: $i,SV83: $i,SV1260: $i] :
      ( ( ( SV1260 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
          | ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
        = $false )
      | ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2827]) ).

thf(2940,plain,
    ! [SV518: $i,SV1098: $i,SV308: $i,SV1261: $i,SV719: $i,SV913: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
          | ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2828]) ).

thf(2941,plain,
    ! [SV519: $i,SV1099: $i,SV309: $i,SV1262: $i,SV720: $i,SV914: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
          | ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2829]) ).

thf(2942,plain,
    ! [SV310: $i,SV1100: $i,SV1263: $i,SV520: $i,SV721: $i,SV915: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
          | ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2830]) ).

thf(2943,plain,
    ! [SV311: $i,SV1101: $i,SV1264: $i,SV521: $i,SV722: $i,SV916: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
          | ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2831]) ).

thf(2944,plain,
    ! [SV917: $i,SV1102: $i,SV1265: $i,SV312: $i,SV522: $i,SV723: $i,SV88: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV723 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( SV1265 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2832]) ).

thf(2945,plain,
    ! [SV918: $i,SV1103: $i,SV1266: $i,SV313: $i,SV523: $i,SV724: $i,SV89: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV724 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( SV1266 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2833]) ).

thf(2946,plain,
    ! [SV725: $i,SV1104: $i,SV314: $i,SV524: $i,SV1267: $i,SV919: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
        = $false )
      | ( ( ( SV1267 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2834]) ).

thf(2947,plain,
    ! [SV726: $i,SV1105: $i,SV315: $i,SV525: $i,SV1268: $i,SV920: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
        = $false )
      | ( ( ( SV1268 = c_Type_Oty_OInteger )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2835]) ).

thf(2948,plain,
    ! [SV1106: $i,SV1269: $i,SV921: $i,SV317: $i,SV527: $i,SV727: $i,SV93: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV727 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        = $false )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2836]) ).

thf(2949,plain,
    ! [SV1108: $i,SV1271: $i,SV923: $i,SV319: $i,SV529: $i,SV729: $i,SV95: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV729 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        = $false )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2837]) ).

thf(2950,plain,
    ! [SV1272: $i,SV1109: $i,SV320: $i,SV530: $i,SV730: $i,SV924: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2838]) ).

thf(2951,plain,
    ! [SV1273: $i,SV1110: $i,SV321: $i,SV531: $i,SV731: $i,SV925: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2839]) ).

thf(2952,plain,
    ! [SV733: $i,SV1111: $i,SV927: $i,SV1423: $i,SV1274: $i,SV534: $i,SV324: $i,SV1391: $i,SV1345: $i,SV100: $i] :
      ( ( ( ~ ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
          | ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2840]) ).

thf(2953,plain,
    ! [SV734: $i,SV1112: $i,SV928: $i,SV1424: $i,SV1275: $i,SV535: $i,SV325: $i,SV1392: $i,SV1346: $i,SV101: $i] :
      ( ( ( ~ ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
          | ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2841]) ).

thf(2954,plain,
    ! [SV1447: $i,SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
          = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SV1447 @ SV1113 @ SV1276 ) )
        | ( SV1113
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SV1447 @ SV1276 ) ) )
        | ( SV1113 = c_Type_Oty_ONT )
        | ( SV1113 = c_Type_Oty_OInteger )
        | ( SV1113 = c_Type_Oty_OBoolean )
        | ( SV1113 = c_Type_Oty_OVoid ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2842]) ).

thf(2955,plain,
    ! [SV930: $i,SV736: $i,SV537: $i,SV327: $i,SV1114: $i,SV103: $i,SV1277: $i] :
      ( ( ( SV1277 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1277 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1277 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1277 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1277
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV103 @ SV1114 @ SV1277 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Type_Oty_Oty__case @ SV327 @ SV537 @ SV736 @ SV930 @ SV1114 @ SV1277 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2843]) ).

thf(2956,plain,
    ! [SV931: $i,SV737: $i,SV538: $i,SV328: $i,SV1115: $i,SV104: $i,SV1278: $i] :
      ( ( ( SV1278 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1278 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1278 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1278 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1278
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV104 @ SV1115 @ SV1278 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Type_Oty_Oty__case @ SV328 @ SV538 @ SV737 @ SV931 @ SV1115 @ SV1278 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2844]) ).

thf(2957,plain,
    ! [SV1120: $i,SV1280: $i,SV936: $i,SV1348: $i,SV742: $i,SV544: $i,SV337: $i,SV115: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ SV742 @ ( c_Type_Oty_OClass @ SV1348 ) )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV115 @ SV1348 @ SV936 @ SV1280 @ SV1120 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV115 @ SV337 @ SV544 @ ( c_Expr_Oexp_OFAcc @ SV742 @ SV936 @ SV1120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2845]) ).

thf(2958,plain,
    ! [SV745: $i,SV1123: $i,SV939: $i,SV547: $i,SV341: $i,SV119: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ SV939 @ SV1123 )
        = $false )
      | ( ( c_Type_Ois__refT @ SV1123 )
        = $false )
      | ( ( c_Decl_Ois__class @ SV119 @ SV745 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV119 @ SV341 @ SV547 @ ( c_Expr_Oexp_OCast @ SV745 @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV745 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2847]) ).

thf(2959,plain,
    ! [SV749: $i,SV1126: $i,SV942: $i,SV551: $i,SV345: $i,SV123: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ SV942 @ SV1126 )
        = $false )
      | ( ( c_Type_Ois__refT @ SV1126 )
        = $false )
      | ( ( c_Decl_Ois__class @ SV123 @ SV749 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV123 @ SV345 @ SV551 @ ( c_Expr_Oexp_OCast @ SV749 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ SV749 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2848]) ).

thf(2960,plain,
    ! [SV1133: $i,SV954: $i,SV1351: $i,SV1285: $i,SV764: $i,SV568: $i,SV362: $i,SV140: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV764 @ c_Type_Oty_ONT )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ SV1285 @ SV1351 )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV140 @ SV362 @ SV568 @ ( c_Expr_Oexp_OFAss @ SV764 @ SV954 @ SV1133 @ SV1285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2850]) ).

thf(2961,plain,
    ! [SV1139: $i,SV960: $i,SV1352: $i,SV1287: $i,SV770: $i,SV574: $i,SV368: $i,SV146: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV770 @ c_Type_Oty_ONT )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ SV1287 @ SV1352 )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV146 @ SV368 @ SV574 @ ( c_Expr_Oexp_OFAss @ SV770 @ SV960 @ SV1139 @ SV1287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2852]) ).

thf(2962,plain,
    ! [SV1149: $i,SV1293: $i,SV974: $i,SV1353: $i,SV785: $i,SV589: $i,SV386: $i,SV165: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ SV785 @ ( c_Type_Oty_OClass @ SV1353 ) )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV165 @ SV1353 @ SV974 @ SV1293 @ SV1149 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV165 @ SV386 @ SV589 @ ( c_Expr_Oexp_OFAcc @ SV785 @ SV974 @ SV1149 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1293 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2854]) ).

thf(2963,plain,
    ! [SV591: $i,SV1394: $i,SV786: $i,SV168: $i,SV1354: $i,SV1294: $i,SV1150: $i,SV975: $i,SV389: $i] :
      ( ( ( SV389 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1354 @ SV168 @ SV389 @ SV786 )
          = ( c_Type_Oty_Oty__case @ SV975 @ SV1150 @ SV1294 @ SV1394 @ SV591 @ SV389 @ SV786 ) )
        = $true )
      | ( ( ( hAPP @ SV168 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) )
          = ( hAPP @ SV591 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV389 @ SV168 @ SV591 @ SV786 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2855]) ).

thf(2964,plain,
    ! [SV1426: $i,SV1395: $i,SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV789: $i,SV594: $i,SV392: $i,SV172: $i] :
      ( ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
          = ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
        = $false )
      | ( ( ( SV392 = c_Type_Oty_ONT )
          | ( SV392 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
            = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1395 @ SV1426 @ SV594 @ SV392 @ SV789 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2856]) ).

thf(2965,plain,
    ! [SV599: $i,SV1396: $i,SV794: $i,SV177: $i,SV1357: $i,SV1297: $i,SV1155: $i,SV983: $i,SV397: $i] :
      ( ( ( SV397 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV983 @ SV1155 @ SV1297 @ SV1357 @ SV177 @ SV397 @ SV794 )
          = ( c_Type_Oty_Oty__case @ SV1396 @ SV1155 @ SV1297 @ SV1357 @ SV599 @ SV397 @ SV794 ) )
        = $true )
      | ( ( ( hAPP @ SV177 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) )
          = ( hAPP @ SV599 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV397 @ SV177 @ SV599 @ SV794 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2857]) ).

thf(2966,plain,
    ! [SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
         != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        | ( SV404 = c_Type_Oty_ONT )
        | ( SV404 = c_Type_Oty_OInteger )
        | ( SV404 = c_Type_Oty_OBoolean )
        | ( SV404 = c_Type_Oty_OVoid )
        | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
          = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2859]) ).

thf(2967,plain,
    ! [SV1428: $i,SV1399: $i,SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV808: $i,SV614: $i,SV412: $i,SV193: $i] :
      ( ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
          = ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
        = $false )
      | ( ( ( SV412 = c_Type_Oty_OInteger )
          | ( SV412 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
            = ( c_Type_Oty_Oty__case @ SV995 @ SV1399 @ SV1428 @ SV1361 @ SV614 @ SV412 @ SV808 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2860]) ).

thf(2968,plain,
    ! [SV1429: $i,SV1401: $i,SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV814: $i,SV620: $i,SV418: $i,SV199: $i] :
      ( ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
          = ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
        = $false )
      | ( ( ( SV418 = c_Type_Oty_ONT )
          | ( SV418 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
            = ( c_Type_Oty_Oty__case @ SV1401 @ SV1171 @ SV1309 @ SV1429 @ SV620 @ SV418 @ SV814 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2862]) ).

thf(2969,plain,
    ! [SV1430: $i,SV1402: $i,SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV815: $i,SV621: $i,SV419: $i,SV200: $i] :
      ( ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
          = ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
        = $false )
      | ( ( ( SV419 = c_Type_Oty_ONT )
          | ( SV419 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
            = ( c_Type_Oty_Oty__case @ SV1002 @ SV1402 @ SV1310 @ SV1430 @ SV621 @ SV419 @ SV815 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2863]) ).

thf(2970,plain,
    ! [SV1443: $i,SV1431: $i,SV1405: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
         != ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
        = $true )
      | ( ( ( SV424 = c_Type_Oty_ONT )
          | ( SV424 = c_Type_Oty_OInteger )
          | ( SV424 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
            = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SV1443 @ SV626 @ SV424 @ SV820 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2866]) ).

thf(2971,plain,
    ! [SV628: $i,SV1406: $i,SV822: $i,SV211: $i,SV1369: $i,SV1315: $i,SV1178: $i,SV1009: $i,SV426: $i] :
      ( ( ( SV426 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1009 @ SV1178 @ SV1315 @ SV1369 @ SV211 @ SV426 @ SV822 )
          = ( c_Type_Oty_Oty__case @ SV1009 @ SV1406 @ SV1315 @ SV1369 @ SV628 @ SV426 @ SV822 ) )
        = $true )
      | ( ( ( hAPP @ SV211 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) )
          = ( hAPP @ SV628 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV426 @ SV211 @ SV628 @ SV822 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2867]) ).

thf(2972,plain,
    ! [SV1444: $i,SV1432: $i,SV1407: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
         != ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
        = $true )
      | ( ( ( SV427 = c_Type_Oty_ONT )
          | ( SV427 = c_Type_Oty_OBoolean )
          | ( SV427 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
            = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SV1444 @ SV629 @ SV427 @ SV823 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2868]) ).

thf(2973,plain,
    ! [SV1445: $i,SV1433: $i,SV1408: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
         != ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
        = $true )
      | ( ( ( SV432 = c_Type_Oty_OInteger )
          | ( SV432 = c_Type_Oty_OBoolean )
          | ( SV432 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
            = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SV1445 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2869]) ).

thf(2974,plain,
    ! [SV1434: $i,SV1409: $i,SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV830: $i,SV636: $i,SV435: $i,SV222: $i] :
      ( ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
          = ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
        = $false )
      | ( ( ( SV435 = c_Type_Oty_OInteger )
          | ( SV435 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
            = ( c_Type_Oty_Oty__case @ SV1409 @ SV1183 @ SV1434 @ SV1372 @ SV636 @ SV435 @ SV830 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2870]) ).

thf(2975,plain,
    ! [SV1446: $i,SV1435: $i,SV1410: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
         != ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
        = $true )
      | ( ( ( SV436 = c_Type_Oty_ONT )
          | ( SV436 = c_Type_Oty_OInteger )
          | ( SV436 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
            = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SV1446 @ SV637 @ SV436 @ SV831 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2871]) ).

thf(2976,plain,
    ! [SV638: $i,SV1411: $i,SV832: $i,SV224: $i,SV1374: $i,SV1321: $i,SV1185: $i,SV1017: $i,SV437: $i] :
      ( ( ( SV437 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1321 @ SV1374 @ SV224 @ SV437 @ SV832 )
          = ( c_Type_Oty_Oty__case @ SV1017 @ SV1185 @ SV1411 @ SV1374 @ SV638 @ SV437 @ SV832 ) )
        = $true )
      | ( ( ( hAPP @ SV224 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) )
          = ( hAPP @ SV638 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV437 @ SV224 @ SV638 @ SV832 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2872]) ).

thf(2977,plain,
    ! [SV1436: $i,SV1412: $i,SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV833: $i,SV639: $i,SV438: $i,SV225: $i] :
      ( ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
          = ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
        = $false )
      | ( ( ( SV438 = c_Type_Oty_OBoolean )
          | ( SV438 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
            = ( c_Type_Oty_Oty__case @ SV1412 @ SV1436 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2873]) ).

thf(2978,plain,
    ! [SV453: $i,SV848: $i,SV1329: $i,SV654: $i,SV1376: $i,SV1196: $i,SV1033: $i,SV243: $i,SV19: $i] :
      ( ( ( ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 ) )
        = $true )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2879]) ).

thf(2979,plain,
    ! [SV849: $i,SV655: $i,SV454: $i,SV244: $i,SV1034: $i,SV20: $i,SV1197: $i] :
      ( ( ( SV1197 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1197 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1197 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1197 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV1034 @ ( v_sko__Type__Xty__Xsplit__1 @ SV20 @ SV1034 @ SV1197 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Type_Oty_Oty__case @ SV244 @ SV454 @ SV655 @ SV849 @ SV1034 @ SV1197 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2880]) ).

thf(2980,plain,
    ! [SV850: $i,SV656: $i,SV455: $i,SV245: $i,SV1035: $i,SV21: $i,SV1198: $i] :
      ( ( ( SV1198 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1198 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1198 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1198 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( hAPP @ SV1035 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV21 @ SV1035 @ SV1198 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV21 @ ( c_Type_Oty_Oty__case @ SV245 @ SV455 @ SV656 @ SV850 @ SV1035 @ SV1198 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2881]) ).

thf(2981,plain,
    ! [SV851: $i,SV456: $i,SV246: $i,SV1036: $i,SV657: $i,SV22: $i,SV1199: $i] :
      ( ( ( SV1199 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1199 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV22 @ SV657 ) )
        = $false )
      | ( ( SV1199 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1199
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV22 @ SV1036 @ SV1199 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Type_Oty_Oty__case @ SV246 @ SV456 @ SV657 @ SV851 @ SV1036 @ SV1199 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2882]) ).

thf(2982,plain,
    ! [SV852: $i,SV457: $i,SV247: $i,SV1037: $i,SV658: $i,SV23: $i,SV1200: $i] :
      ( ( ( SV1200 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1200 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV23 @ SV658 ) )
        = $false )
      | ( ( SV1200 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1200
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV23 @ SV1037 @ SV1200 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV23 @ ( c_Type_Oty_Oty__case @ SV247 @ SV457 @ SV658 @ SV852 @ SV1037 @ SV1200 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2883]) ).

thf(2983,plain,
    ! [SV1437: $i,SV1413: $i,SV1377: $i,SV1330: $i,SV1201: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV24: $i] :
      ( ( ( SV24 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
            = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SV1413 @ SV1437 @ SV24 @ SV1201 ) )
          | ( SV24
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SV1437 @ SV1201 ) ) )
          | ( SV24 = c_Type_Oty_ONT ) )
        = $true )
      | ( ( SV24 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2884]) ).

thf(2984,plain,
    ! [SV1438: $i,SV1414: $i,SV1378: $i,SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ( SV25 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV25 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
            = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SV1414 @ SV854 @ SV1438 @ SV25 @ SV1202 ) )
          | ( SV25
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SV1438 @ SV1202 ) ) ) )
        = $true )
      | ( ( SV25 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2885]) ).

thf(2985,plain,
    ! [SV661: $i,SV460: $i,SV250: $i,SV1040: $i,SV855: $i,SV26: $i,SV1203: $i] :
      ( ( ( SV1203 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1203 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1203 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ SV855 ) )
        = $false )
      | ( ( SV1203
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV26 @ SV1040 @ SV1203 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV26 @ ( c_Type_Oty_Oty__case @ SV250 @ SV460 @ SV661 @ SV855 @ SV1040 @ SV1203 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2886]) ).

thf(2986,plain,
    ! [SV662: $i,SV461: $i,SV251: $i,SV1041: $i,SV856: $i,SV27: $i,SV1204: $i] :
      ( ( ( SV1204 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1204 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1204 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ SV856 ) )
        = $false )
      | ( ( SV1204
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV27 @ SV1041 @ SV1204 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Type_Oty_Oty__case @ SV251 @ SV461 @ SV662 @ SV856 @ SV1041 @ SV1204 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2887]) ).

thf(2987,plain,
    ! [SV857: $i,SV663: $i,SV462: $i,SV1042: $i,SV1205: $i,SV252: $i,SV28: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV28 @ SV252 ) )
        = $false )
      | ( ( SV1205 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1205 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1205 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1205
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV28 @ SV1042 @ SV1205 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV28 @ ( c_Type_Oty_Oty__case @ SV252 @ SV462 @ SV663 @ SV857 @ SV1042 @ SV1205 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2888]) ).

thf(2988,plain,
    ! [SV1415: $i,SV1379: $i,SV1332: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i,SV1206: $i,SV1439: $i,SV858: $i,SV1043: $i] :
      ( ( ( SV1043
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SV1439 @ SV1206 ) ) )
        = $true )
      | ( ( ( SV1043 = c_Type_Oty_ONT )
          | ( SV1043 = c_Type_Oty_OInteger )
          | ( SV1043 = c_Type_Oty_OBoolean ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
          = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SV1415 @ SV1439 @ SV1043 @ SV1206 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2889]) ).

thf(2989,plain,
    ! [SV859: $i,SV665: $i,SV464: $i,SV1044: $i,SV1207: $i,SV254: $i,SV30: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV30 @ SV254 ) )
        = $false )
      | ( ( SV1207 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1207 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1207 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1207
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV30 @ SV1044 @ SV1207 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV30 @ ( c_Type_Oty_Oty__case @ SV254 @ SV464 @ SV665 @ SV859 @ SV1044 @ SV1207 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2890]) ).

thf(2990,plain,
    ! [SV860: $i,SV666: $i,SV255: $i,SV1045: $i,SV1208: $i,SV465: $i,SV31: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV31 @ SV465 ) )
        = $false )
      | ( ( SV1208 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1208 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1208 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1208
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV31 @ SV1045 @ SV1208 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV31 @ ( c_Type_Oty_Oty__case @ SV255 @ SV465 @ SV666 @ SV860 @ SV1045 @ SV1208 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2891]) ).

thf(2991,plain,
    ! [SV861: $i,SV667: $i,SV256: $i,SV1046: $i,SV1209: $i,SV466: $i,SV32: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV32 @ SV466 ) )
        = $false )
      | ( ( SV1209 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1209 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1209 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1209
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV32 @ SV1046 @ SV1209 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV32 @ ( c_Type_Oty_Oty__case @ SV256 @ SV466 @ SV667 @ SV861 @ SV1046 @ SV1209 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2892]) ).

thf(2992,plain,
    ! [SV1440: $i,SV1416: $i,SV1380: $i,SV1333: $i,SV1210: $i,SV33: $i,SV1047: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
          = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SV1416 @ SV1440 @ SV33 @ SV1210 ) )
        = $true )
      | ( ( ( SV33
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SV1440 @ SV1210 ) ) )
          | ( SV33 = c_Type_Oty_ONT )
          | ( SV33 = c_Type_Oty_OInteger ) )
        = $true )
      | ( ( SV33 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2893]) ).

thf(2993,plain,
    ! [SV863: $i,SV468: $i,SV258: $i,SV1048: $i,SV1211: $i,SV669: $i,SV34: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
        = $false )
      | ( ( ( SV1211 = c_Type_Oty_OBoolean )
          | ( SV1211 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1211 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2894]) ).

thf(2994,plain,
    ! [SV864: $i,SV469: $i,SV259: $i,SV1049: $i,SV1212: $i,SV670: $i,SV35: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
        = $false )
      | ( ( ( SV1212 = c_Type_Oty_OBoolean )
          | ( SV1212 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1212 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2895]) ).

thf(2995,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV1050: $i,SV865: $i,SV36: $i,SV1213: $i] :
      ( ( ( SV1213 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1213 = c_Type_Oty_OBoolean )
          | ( SV1213 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2896]) ).

thf(2996,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV1051: $i,SV866: $i,SV37: $i,SV1214: $i] :
      ( ( ( SV1214 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1214 = c_Type_Oty_OBoolean )
          | ( SV1214 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2897]) ).

thf(2997,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV1052: $i,SV262: $i,SV38: $i,SV1215: $i] :
      ( ( ( SV1215 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV38 @ SV262 ) ) )
        = $true )
      | ( ( SV1215 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1215 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2898]) ).

thf(2998,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV1053: $i,SV263: $i,SV39: $i,SV1216: $i] :
      ( ( ( SV1216 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV39 @ SV263 ) ) )
        = $true )
      | ( ( SV1216 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1216 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2899]) ).

thf(2999,plain,
    ! [SV869: $i,SV675: $i,SV264: $i,SV1054: $i,SV1217: $i,SV474: $i,SV40: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV40 @ SV474 ) ) )
        = $true )
      | ( ( SV1217 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1217 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1217 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2900]) ).

thf(3000,plain,
    ! [SV870: $i,SV676: $i,SV265: $i,SV1055: $i,SV1218: $i,SV475: $i,SV41: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV41 @ SV475 ) ) )
        = $true )
      | ( ( SV1218 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1218 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1218 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2901]) ).

thf(3001,plain,
    ! [SV1417: $i,SV1381: $i,SV1334: $i,SV1219: $i,SV42: $i,SV1056: $i,SV871: $i,SV677: $i,SV476: $i,SV266: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV266 @ SV476 @ SV677 @ SV871 @ SV1056 @ SV42 @ SV1219 )
          = ( c_Type_Oty_Oty__case @ SV1334 @ SV1381 @ SV677 @ SV871 @ SV1417 @ SV42 @ SV1219 ) )
        = $true )
      | ( ( SV42
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV42 @ SV1056 @ SV1417 @ SV1219 ) ) )
        = $true )
      | ( ( SV42 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV42 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2902]) ).

thf(3002,plain,
    ! [SV477: $i,SV267: $i,SV1057: $i,SV872: $i,SV1220: $i,SV678: $i,SV43: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
        = $false )
      | ( ( ( SV1220 = c_Type_Oty_OBoolean )
          | ( SV1220 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
        = $false )
      | ( ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2903]) ).

thf(3003,plain,
    ! [SV478: $i,SV268: $i,SV1058: $i,SV873: $i,SV1221: $i,SV679: $i,SV44: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
        = $false )
      | ( ( ( SV1221 = c_Type_Oty_OBoolean )
          | ( SV1221 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
        = $false )
      | ( ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2904]) ).

thf(3004,plain,
    ! [SV874: $i,SV479: $i,SV1059: $i,SV680: $i,SV269: $i,SV45: $i,SV1222: $i] :
      ( ( ( SV1222 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV45 @ SV269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
        = $false )
      | ( ( SV1222 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2905]) ).

thf(3005,plain,
    ! [SV1382: $i,SV1335: $i,SV875: $i,SV681: $i,SV480: $i,SV270: $i,SV1223: $i,SV1418: $i,SV1060: $i,SV46: $i] :
      ( ( ( SV46
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV46 @ SV1060 @ SV1418 @ SV1223 ) ) )
        = $true )
      | ( ( SV46 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV270 @ SV480 @ SV681 @ SV875 @ SV1060 @ SV46 @ SV1223 )
          = ( c_Type_Oty_Oty__case @ SV270 @ SV1335 @ SV681 @ SV1382 @ SV1418 @ SV46 @ SV1223 ) )
        = $true )
      | ( ( SV46 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2906]) ).

thf(3006,plain,
    ! [SV876: $i,SV481: $i,SV1061: $i,SV682: $i,SV271: $i,SV47: $i,SV1224: $i] :
      ( ( ( SV1224 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV47 @ SV271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
        = $false )
      | ( ( SV1224 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2907]) ).

thf(3007,plain,
    ! [SV683: $i,SV482: $i,SV1062: $i,SV877: $i,SV272: $i,SV48: $i,SV1225: $i] :
      ( ( ( SV1225 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV48 @ SV272 ) ) )
        = $true )
      | ( ( SV1225 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
        = $false )
      | ( ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2908]) ).

thf(3008,plain,
    ! [SV1419: $i,SV1383: $i,SV1336: $i,SV1226: $i,SV49: $i,SV1063: $i,SV878: $i,SV684: $i,SV483: $i,SV273: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV273 @ SV483 @ SV684 @ SV878 @ SV1063 @ SV49 @ SV1226 )
          = ( c_Type_Oty_Oty__case @ SV273 @ SV1336 @ SV1383 @ SV878 @ SV1419 @ SV49 @ SV1226 ) )
        = $true )
      | ( ( SV49
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV49 @ SV1063 @ SV1419 @ SV1226 ) ) )
        = $true )
      | ( ( SV49 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV49 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2909]) ).

thf(3009,plain,
    ! [SV685: $i,SV484: $i,SV1064: $i,SV879: $i,SV274: $i,SV50: $i,SV1227: $i] :
      ( ( ( SV1227 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV50 @ SV274 ) ) )
        = $true )
      | ( ( SV1227 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
        = $false )
      | ( ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2910]) ).

thf(3010,plain,
    ! [SV880: $i,SV275: $i,SV1065: $i,SV686: $i,SV1228: $i,SV485: $i,SV51: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV51 @ SV485 ) ) )
        = $true )
      | ( ( SV1228 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
        = $false )
      | ( ( SV1228 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2911]) ).

thf(3011,plain,
    ! [SV881: $i,SV276: $i,SV1066: $i,SV687: $i,SV1229: $i,SV486: $i,SV52: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV52 @ SV486 ) ) )
        = $true )
      | ( ( SV1229 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
        = $false )
      | ( ( SV1229 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2912]) ).

thf(3012,plain,
    ! [SV1384: $i,SV1337: $i,SV882: $i,SV688: $i,SV487: $i,SV277: $i,SV1230: $i,SV1420: $i,SV1067: $i,SV53: $i] :
      ( ( ( SV53
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV53 @ SV1067 @ SV1420 @ SV1230 ) ) )
        = $true )
      | ( ( SV53 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV277 @ SV487 @ SV688 @ SV882 @ SV1067 @ SV53 @ SV1230 )
          = ( c_Type_Oty_Oty__case @ SV1337 @ SV487 @ SV688 @ SV1384 @ SV1420 @ SV53 @ SV1230 ) )
        = $true )
      | ( ( SV53 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2913]) ).

thf(3013,plain,
    ! [SV1421: $i,SV1385: $i,SV1338: $i,SV1231: $i,SV54: $i,SV1068: $i,SV883: $i,SV689: $i,SV488: $i,SV278: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV278 @ SV488 @ SV689 @ SV883 @ SV1068 @ SV54 @ SV1231 )
          = ( c_Type_Oty_Oty__case @ SV1338 @ SV488 @ SV1385 @ SV883 @ SV1421 @ SV54 @ SV1231 ) )
        = $true )
      | ( ( SV54
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV54 @ SV1068 @ SV1421 @ SV1231 ) ) )
        = $true )
      | ( ( SV54 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV54 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2914]) ).

thf(3014,plain,
    ! [SV690: $i,SV279: $i,SV1069: $i,SV884: $i,SV1232: $i,SV489: $i,SV55: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV55 @ SV489 ) ) )
        = $true )
      | ( ( SV1232 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1232 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
        = $false )
      | ( ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2915]) ).

thf(3015,plain,
    ! [SV691: $i,SV280: $i,SV1070: $i,SV885: $i,SV1233: $i,SV490: $i,SV56: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV56 @ SV490 ) ) )
        = $true )
      | ( ( SV1233 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1233 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
        = $false )
      | ( ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2916]) ).

thf(3016,plain,
    ! [SV886: $i,SV692: $i,SV1071: $i,SV1234: $i,SV281: $i,SV491: $i,SV57: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ SV281 ) ) )
        = $true )
      | ( ( SV1234 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1234 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2917]) ).

thf(3017,plain,
    ! [SV1386: $i,SV1339: $i,SV693: $i,SV492: $i,SV282: $i,SV58: $i,SV1235: $i,SV1422: $i,SV887: $i,SV1072: $i] :
      ( ( ( SV1072 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1072 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1072
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1072 @ SV887 @ SV1422 @ SV1235 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV492 @ SV693 @ SV887 @ SV1072 @ SV1235 )
          = ( c_Type_Oty_Oty__case @ SV58 @ SV282 @ SV1339 @ SV1386 @ SV1422 @ SV1072 @ SV1235 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2918]) ).

thf(3018,plain,
    ! [SV888: $i,SV694: $i,SV1073: $i,SV1236: $i,SV283: $i,SV493: $i,SV59: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV59 @ SV283 ) ) )
        = $true )
      | ( ( SV1236 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1236 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2919]) ).

thf(3019,plain,
    ! [SV494: $i,SV284: $i,SV1074: $i,SV889: $i,SV1237: $i,SV695: $i,SV60: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ SV695 ) ) )
        = $true )
      | ( ( ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2920]) ).

thf(3020,plain,
    ! [SV495: $i,SV285: $i,SV1075: $i,SV890: $i,SV1238: $i,SV696: $i,SV61: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ SV696 ) ) )
        = $true )
      | ( ( ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2921]) ).

thf(3021,plain,
    ! [SV891: $i,SV496: $i,SV1076: $i,SV286: $i,SV1239: $i,SV697: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
        = $false )
      | ( ( ( SV1239 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true )
      | ( ( SV1239 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2922]) ).

thf(3022,plain,
    ! [SV892: $i,SV497: $i,SV1077: $i,SV287: $i,SV1240: $i,SV698: $i,SV63: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
        = $false )
      | ( ( ( SV1240 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true )
      | ( ( SV1240 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2923]) ).

thf(3023,plain,
    ! [SV699: $i,SV498: $i,SV1078: $i,SV893: $i,SV288: $i,SV64: $i,SV1241: $i] :
      ( ( ( SV1241 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1241 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2924]) ).

thf(3024,plain,
    ! [SV700: $i,SV499: $i,SV1079: $i,SV894: $i,SV289: $i,SV65: $i,SV1242: $i] :
      ( ( ( SV1242 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1242 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2925]) ).

thf(3025,plain,
    ! [SV895: $i,SV290: $i,SV1080: $i,SV1243: $i,SV500: $i,SV701: $i,SV66: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
          | ( SV1243 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1243 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2926]) ).

thf(3026,plain,
    ! [SV896: $i,SV291: $i,SV1081: $i,SV1244: $i,SV501: $i,SV702: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
          | ( SV1244 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1244 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2927]) ).

thf(3027,plain,
    ! [SV703: $i,SV292: $i,SV1082: $i,SV897: $i,SV502: $i,SV68: $i,SV1245: $i] :
      ( ( ( SV1245 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
          | ( SV1245 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2928]) ).

thf(3028,plain,
    ! [SV704: $i,SV293: $i,SV1083: $i,SV898: $i,SV503: $i,SV69: $i,SV1246: $i] :
      ( ( ( SV1246 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
          | ( SV1246 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2929]) ).

thf(3029,plain,
    ! [SV899: $i,SV705: $i,SV1084: $i,SV1247: $i,SV294: $i,SV504: $i,SV70: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV70 @ SV504 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true )
      | ( ( SV1247 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1247 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2930]) ).

thf(3030,plain,
    ! [SV900: $i,SV706: $i,SV1085: $i,SV1248: $i,SV295: $i,SV505: $i,SV71: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV505 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true )
      | ( ( SV1248 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1248 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2931]) ).

thf(3031,plain,
    ! [SV506: $i,SV1086: $i,SV901: $i,SV296: $i,SV1249: $i,SV707: $i,SV72: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
        = $false )
      | ( ( ( SV1249 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
        = $false )
      | ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2932]) ).

thf(3032,plain,
    ! [SV508: $i,SV1088: $i,SV903: $i,SV298: $i,SV1251: $i,SV709: $i,SV74: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
        = $false )
      | ( ( ( SV1251 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
        = $false )
      | ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2933]) ).

thf(3033,plain,
    ! [SV300: $i,SV1090: $i,SV905: $i,SV1253: $i,SV510: $i,SV711: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
          | ( SV1253 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
        = $false )
      | ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2934]) ).

thf(3034,plain,
    ! [SV301: $i,SV1091: $i,SV906: $i,SV1254: $i,SV511: $i,SV712: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
          | ( SV1254 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
        = $false )
      | ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2935]) ).

thf(3035,plain,
    ! [SV907: $i,SV1092: $i,SV1255: $i,SV713: $i,SV302: $i,SV512: $i,SV78: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV512 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
        = $false )
      | ( ( SV1255 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2936]) ).

thf(3036,plain,
    ! [SV909: $i,SV1094: $i,SV1257: $i,SV715: $i,SV304: $i,SV514: $i,SV80: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV514 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
        = $false )
      | ( ( SV1257 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2937]) ).

thf(3037,plain,
    ! [SV716: $i,SV1095: $i,SV910: $i,SV1258: $i,SV305: $i,SV515: $i,SV81: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV81 @ SV515 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true )
      | ( ( SV1258 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
        = $false )
      | ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2938]) ).

thf(3038,plain,
    ! [SV718: $i,SV1097: $i,SV912: $i,SV1260: $i,SV307: $i,SV517: $i,SV83: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV517 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true )
      | ( ( SV1260 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
        = $false )
      | ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2939]) ).

thf(3039,plain,
    ! [SV518: $i,SV1098: $i,SV913: $i,SV308: $i,SV1261: $i,SV719: $i,SV84: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV719 ) ) )
        = $true )
      | ( ( ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2940]) ).

thf(3040,plain,
    ! [SV519: $i,SV1099: $i,SV914: $i,SV309: $i,SV1262: $i,SV720: $i,SV85: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV720 ) ) )
        = $true )
      | ( ( ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2941]) ).

thf(3041,plain,
    ! [SV310: $i,SV1100: $i,SV915: $i,SV1263: $i,SV520: $i,SV721: $i,SV86: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV721 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2942]) ).

thf(3042,plain,
    ! [SV311: $i,SV1101: $i,SV916: $i,SV1264: $i,SV521: $i,SV722: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV722 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2943]) ).

thf(3043,plain,
    ! [SV917: $i,SV1102: $i,SV1265: $i,SV312: $i,SV522: $i,SV723: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
          | ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( SV1265 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2944]) ).

thf(3044,plain,
    ! [SV918: $i,SV1103: $i,SV1266: $i,SV313: $i,SV523: $i,SV724: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
          | ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( SV1266 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2945]) ).

thf(3045,plain,
    ! [SV725: $i,SV1104: $i,SV919: $i,SV314: $i,SV524: $i,SV90: $i,SV1267: $i] :
      ( ( ( SV1267 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
          | ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2946]) ).

thf(3046,plain,
    ! [SV726: $i,SV1105: $i,SV920: $i,SV315: $i,SV525: $i,SV91: $i,SV1268: $i] :
      ( ( ( SV1268 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
          | ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2947]) ).

thf(3047,plain,
    ! [SV1106: $i,SV1269: $i,SV921: $i,SV317: $i,SV527: $i,SV727: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
          | ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        = $false )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2948]) ).

thf(3048,plain,
    ! [SV1108: $i,SV1271: $i,SV923: $i,SV319: $i,SV529: $i,SV729: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
          | ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        = $false )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2949]) ).

thf(3049,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV320: $i,SV530: $i,SV730: $i,SV96: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV730 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2950]) ).

thf(3050,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV321: $i,SV531: $i,SV731: $i,SV97: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV731 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2951]) ).

thf(3051,plain,
    ! [SV733: $i,SV1111: $i,SV927: $i,SV1423: $i,SV1274: $i,SV534: $i,SV324: $i,SV1391: $i,SV1345: $i,SV100: $i] :
      ( ( ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
          | ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2952]) ).

thf(3052,plain,
    ! [SV734: $i,SV1112: $i,SV928: $i,SV1424: $i,SV1275: $i,SV535: $i,SV325: $i,SV1392: $i,SV1346: $i,SV101: $i] :
      ( ( ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
          | ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2953]) ).

thf(3053,plain,
    ! [SV1447: $i,SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV1276: $i,SV1113: $i,SV929: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
          = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SV1447 @ SV1113 @ SV1276 ) )
        = $true )
      | ( ( ( SV1113
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SV1447 @ SV1276 ) ) )
          | ( SV1113 = c_Type_Oty_ONT )
          | ( SV1113 = c_Type_Oty_OInteger )
          | ( SV1113 = c_Type_Oty_OBoolean )
          | ( SV1113 = c_Type_Oty_OVoid ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2954]) ).

thf(3054,plain,
    ! [SV594: $i,SV1426: $i,SV1395: $i,SV789: $i,SV172: $i,SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV392: $i] :
      ( ( ( SV392 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV392 = c_Type_Oty_OInteger )
          | ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
            = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1395 @ SV1426 @ SV594 @ SV392 @ SV789 ) ) )
        = $true )
      | ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
          = ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2964]) ).

thf(3055,plain,
    ! [SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
         != ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        = $true )
      | ( ( ( SV404 = c_Type_Oty_ONT )
          | ( SV404 = c_Type_Oty_OInteger )
          | ( SV404 = c_Type_Oty_OBoolean )
          | ( SV404 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
            = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2966]) ).

thf(3056,plain,
    ! [SV614: $i,SV1428: $i,SV1399: $i,SV808: $i,SV193: $i,SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV412: $i] :
      ( ( ( SV412 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV412 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
            = ( c_Type_Oty_Oty__case @ SV995 @ SV1399 @ SV1428 @ SV1361 @ SV614 @ SV412 @ SV808 ) ) )
        = $true )
      | ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
          = ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2967]) ).

thf(3057,plain,
    ! [SV620: $i,SV1429: $i,SV1401: $i,SV814: $i,SV199: $i,SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV418: $i] :
      ( ( ( SV418 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV418 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
            = ( c_Type_Oty_Oty__case @ SV1401 @ SV1171 @ SV1309 @ SV1429 @ SV620 @ SV418 @ SV814 ) ) )
        = $true )
      | ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
          = ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2968]) ).

thf(3058,plain,
    ! [SV621: $i,SV1430: $i,SV1402: $i,SV815: $i,SV200: $i,SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV419: $i] :
      ( ( ( SV419 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV419 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
            = ( c_Type_Oty_Oty__case @ SV1002 @ SV1402 @ SV1310 @ SV1430 @ SV621 @ SV419 @ SV815 ) ) )
        = $true )
      | ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
          = ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2969]) ).

thf(3059,plain,
    ! [SV1443: $i,SV1431: $i,SV1405: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV820: $i,SV626: $i,SV424: $i,SV208: $i] :
      ( ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
          = ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
        = $false )
      | ( ( ( SV424 = c_Type_Oty_ONT )
          | ( SV424 = c_Type_Oty_OInteger )
          | ( SV424 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
            = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SV1443 @ SV626 @ SV424 @ SV820 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2970]) ).

thf(3060,plain,
    ! [SV1444: $i,SV1432: $i,SV1407: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV823: $i,SV629: $i,SV427: $i,SV213: $i] :
      ( ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
          = ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
        = $false )
      | ( ( ( SV427 = c_Type_Oty_ONT )
          | ( SV427 = c_Type_Oty_OBoolean )
          | ( SV427 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
            = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SV1444 @ SV629 @ SV427 @ SV823 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2972]) ).

thf(3061,plain,
    ! [SV1445: $i,SV1433: $i,SV1408: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV827: $i,SV633: $i,SV432: $i,SV218: $i] :
      ( ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
          = ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
        = $false )
      | ( ( ( SV432 = c_Type_Oty_OInteger )
          | ( SV432 = c_Type_Oty_OBoolean )
          | ( SV432 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
            = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SV1445 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2973]) ).

thf(3062,plain,
    ! [SV636: $i,SV1434: $i,SV1409: $i,SV830: $i,SV222: $i,SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV435: $i] :
      ( ( ( SV435 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV435 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
            = ( c_Type_Oty_Oty__case @ SV1409 @ SV1183 @ SV1434 @ SV1372 @ SV636 @ SV435 @ SV830 ) ) )
        = $true )
      | ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
          = ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2974]) ).

thf(3063,plain,
    ! [SV1446: $i,SV1435: $i,SV1410: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV831: $i,SV637: $i,SV436: $i,SV223: $i] :
      ( ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
          = ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
        = $false )
      | ( ( ( SV436 = c_Type_Oty_ONT )
          | ( SV436 = c_Type_Oty_OInteger )
          | ( SV436 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
            = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SV1446 @ SV637 @ SV436 @ SV831 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2975]) ).

thf(3064,plain,
    ! [SV639: $i,SV1436: $i,SV1412: $i,SV833: $i,SV225: $i,SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV438: $i] :
      ( ( ( SV438 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV438 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
            = ( c_Type_Oty_Oty__case @ SV1412 @ SV1436 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) ) )
        = $true )
      | ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
          = ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2977]) ).

thf(3065,plain,
    ! [SV453: $i,SV848: $i,SV1329: $i,SV654: $i,SV1376: $i,SV1196: $i,SV1033: $i,SV243: $i,SV19: $i] :
      ( ( ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
        = $false )
      | ( ( ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2978]) ).

thf(3066,plain,
    ! [SV1437: $i,SV1413: $i,SV1377: $i,SV1330: $i,SV1201: $i,SV24: $i,SV1038: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
          = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SV1413 @ SV1437 @ SV24 @ SV1201 ) )
        = $true )
      | ( ( ( SV24
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SV1437 @ SV1201 ) ) )
          | ( SV24 = c_Type_Oty_ONT ) )
        = $true )
      | ( ( SV24 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV24 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2983]) ).

thf(3067,plain,
    ! [SV1438: $i,SV1414: $i,SV1378: $i,SV1331: $i,SV1202: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i,SV25: $i] :
      ( ( ( SV25 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
            = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SV1414 @ SV854 @ SV1438 @ SV25 @ SV1202 ) )
          | ( SV25
            = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SV1438 @ SV1202 ) ) ) )
        = $true )
      | ( ( SV25 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV25 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2984]) ).

thf(3068,plain,
    ! [SV1415: $i,SV1379: $i,SV1332: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i,SV1206: $i,SV1439: $i,SV858: $i,SV1043: $i] :
      ( ( ( SV1043 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1043 = c_Type_Oty_OInteger )
          | ( SV1043 = c_Type_Oty_OBoolean ) )
        = $true )
      | ( ( SV1043
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SV1439 @ SV1206 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
          = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SV1415 @ SV1439 @ SV1043 @ SV1206 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2988]) ).

thf(3069,plain,
    ! [SV1416: $i,SV1380: $i,SV1333: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV1210: $i,SV1440: $i,SV1047: $i,SV33: $i] :
      ( ( ( SV33
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SV1440 @ SV1210 ) ) )
        = $true )
      | ( ( ( SV33 = c_Type_Oty_ONT )
          | ( SV33 = c_Type_Oty_OInteger ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
          = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SV1416 @ SV1440 @ SV33 @ SV1210 ) )
        = $true )
      | ( ( SV33 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2992]) ).

thf(3070,plain,
    ! [SV863: $i,SV468: $i,SV258: $i,SV1048: $i,SV669: $i,SV34: $i,SV1211: $i] :
      ( ( ( SV1211 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1211 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ SV669 ) )
        = $false )
      | ( ( SV1211 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV1048 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV34 @ SV1048 @ SV1211 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Type_Oty_Oty__case @ SV258 @ SV468 @ SV669 @ SV863 @ SV1048 @ SV1211 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2993]) ).

thf(3071,plain,
    ! [SV864: $i,SV469: $i,SV259: $i,SV1049: $i,SV670: $i,SV35: $i,SV1212: $i] :
      ( ( ( SV1212 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1212 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ SV670 ) )
        = $false )
      | ( ( SV1212 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( hAPP @ SV1049 @ ( v_sko__Type__Xty__Xsplit__1 @ SV35 @ SV1049 @ SV1212 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV35 @ ( c_Type_Oty_Oty__case @ SV259 @ SV469 @ SV670 @ SV864 @ SV1049 @ SV1212 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2994]) ).

thf(3072,plain,
    ! [SV671: $i,SV470: $i,SV260: $i,SV1050: $i,SV865: $i,SV36: $i,SV1213: $i] :
      ( ( ( SV1213 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1213 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1213 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV36 @ SV865 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( hAPP @ SV1050 @ ( v_sko__Type__Xty__Xsplit__1 @ SV36 @ SV1050 @ SV1213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV36 @ ( c_Type_Oty_Oty__case @ SV260 @ SV470 @ SV671 @ SV865 @ SV1050 @ SV1213 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2995]) ).

thf(3073,plain,
    ! [SV672: $i,SV471: $i,SV261: $i,SV1051: $i,SV866: $i,SV37: $i,SV1214: $i] :
      ( ( ( SV1214 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1214 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1214 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV37 @ SV866 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( hAPP @ SV1051 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV37 @ SV1051 @ SV1214 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV37 @ ( c_Type_Oty_Oty__case @ SV261 @ SV471 @ SV672 @ SV866 @ SV1051 @ SV1214 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2996]) ).

thf(3074,plain,
    ! [SV867: $i,SV673: $i,SV472: $i,SV1052: $i,SV1215: $i,SV262: $i,SV38: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV38 @ SV262 ) )
        = $false )
      | ( ( SV1215 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1215 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1215 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( hAPP @ SV1052 @ ( v_sko__Type__Xty__Xsplit__1 @ SV38 @ SV1052 @ SV1215 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV38 @ ( c_Type_Oty_Oty__case @ SV262 @ SV472 @ SV673 @ SV867 @ SV1052 @ SV1215 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2997]) ).

thf(3075,plain,
    ! [SV868: $i,SV674: $i,SV473: $i,SV1053: $i,SV1216: $i,SV263: $i,SV39: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV39 @ SV263 ) )
        = $false )
      | ( ( SV1216 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1216 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1216 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( hAPP @ SV1053 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV39 @ SV1053 @ SV1216 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV39 @ ( c_Type_Oty_Oty__case @ SV263 @ SV473 @ SV674 @ SV868 @ SV1053 @ SV1216 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2998]) ).

thf(3076,plain,
    ! [SV869: $i,SV675: $i,SV264: $i,SV1054: $i,SV1217: $i,SV474: $i,SV40: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV40 @ SV474 ) )
        = $false )
      | ( ( SV1217 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1217 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1217 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( hAPP @ SV1054 @ ( v_sko__Type__Xty__Xsplit__1 @ SV40 @ SV1054 @ SV1217 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV40 @ ( c_Type_Oty_Oty__case @ SV264 @ SV474 @ SV675 @ SV869 @ SV1054 @ SV1217 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2999]) ).

thf(3077,plain,
    ! [SV870: $i,SV676: $i,SV265: $i,SV1055: $i,SV1218: $i,SV475: $i,SV41: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV41 @ SV475 ) )
        = $false )
      | ( ( SV1218 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1218 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1218 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( hAPP @ SV1055 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV41 @ SV1055 @ SV1218 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV41 @ ( c_Type_Oty_Oty__case @ SV265 @ SV475 @ SV676 @ SV870 @ SV1055 @ SV1218 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3000]) ).

thf(3078,plain,
    ! [SV477: $i,SV267: $i,SV1057: $i,SV872: $i,SV678: $i,SV43: $i,SV1220: $i] :
      ( ( ( SV1220 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1220 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ SV678 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV43 @ SV872 ) )
        = $false )
      | ( ( SV1220
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV43 @ SV1057 @ SV1220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV43 @ ( c_Type_Oty_Oty__case @ SV267 @ SV477 @ SV678 @ SV872 @ SV1057 @ SV1220 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3002]) ).

thf(3079,plain,
    ! [SV478: $i,SV268: $i,SV1058: $i,SV873: $i,SV679: $i,SV44: $i,SV1221: $i] :
      ( ( ( SV1221 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1221 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ SV679 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV44 @ SV873 ) )
        = $false )
      | ( ( SV1221
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV44 @ SV1058 @ SV1221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV44 @ ( c_Type_Oty_Oty__case @ SV268 @ SV478 @ SV679 @ SV873 @ SV1058 @ SV1221 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3003]) ).

thf(3080,plain,
    ! [SV874: $i,SV479: $i,SV1059: $i,SV680: $i,SV1222: $i,SV269: $i,SV45: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV45 @ SV269 ) )
        = $false )
      | ( ( SV1222 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ SV680 ) )
        = $false )
      | ( ( SV1222 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1222
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV45 @ SV1059 @ SV1222 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV45 @ ( c_Type_Oty_Oty__case @ SV269 @ SV479 @ SV680 @ SV874 @ SV1059 @ SV1222 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3004]) ).

thf(3081,plain,
    ! [SV876: $i,SV481: $i,SV1061: $i,SV682: $i,SV1224: $i,SV271: $i,SV47: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV47 @ SV271 ) )
        = $false )
      | ( ( SV1224 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ SV682 ) )
        = $false )
      | ( ( SV1224 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1224
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV47 @ SV1061 @ SV1224 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV47 @ ( c_Type_Oty_Oty__case @ SV271 @ SV481 @ SV682 @ SV876 @ SV1061 @ SV1224 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3006]) ).

thf(3082,plain,
    ! [SV683: $i,SV482: $i,SV1062: $i,SV877: $i,SV1225: $i,SV272: $i,SV48: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV48 @ SV272 ) )
        = $false )
      | ( ( SV1225 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1225 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ SV877 ) )
        = $false )
      | ( ( SV1225
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV48 @ SV1062 @ SV1225 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV48 @ ( c_Type_Oty_Oty__case @ SV272 @ SV482 @ SV683 @ SV877 @ SV1062 @ SV1225 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3007]) ).

thf(3083,plain,
    ! [SV685: $i,SV484: $i,SV1064: $i,SV879: $i,SV1227: $i,SV274: $i,SV50: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV50 @ SV274 ) )
        = $false )
      | ( ( SV1227 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1227 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ SV879 ) )
        = $false )
      | ( ( SV1227
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV50 @ SV1064 @ SV1227 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV50 @ ( c_Type_Oty_Oty__case @ SV274 @ SV484 @ SV685 @ SV879 @ SV1064 @ SV1227 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3009]) ).

thf(3084,plain,
    ! [SV880: $i,SV275: $i,SV1065: $i,SV686: $i,SV1228: $i,SV485: $i,SV51: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV51 @ SV485 ) )
        = $false )
      | ( ( SV1228 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ SV686 ) )
        = $false )
      | ( ( SV1228 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1228
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV51 @ SV1065 @ SV1228 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV51 @ ( c_Type_Oty_Oty__case @ SV275 @ SV485 @ SV686 @ SV880 @ SV1065 @ SV1228 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3010]) ).

thf(3085,plain,
    ! [SV881: $i,SV276: $i,SV1066: $i,SV687: $i,SV1229: $i,SV486: $i,SV52: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV52 @ SV486 ) )
        = $false )
      | ( ( SV1229 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ SV687 ) )
        = $false )
      | ( ( SV1229 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1229
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV52 @ SV1066 @ SV1229 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV52 @ ( c_Type_Oty_Oty__case @ SV276 @ SV486 @ SV687 @ SV881 @ SV1066 @ SV1229 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3011]) ).

thf(3086,plain,
    ! [SV690: $i,SV279: $i,SV1069: $i,SV884: $i,SV1232: $i,SV489: $i,SV55: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV55 @ SV489 ) )
        = $false )
      | ( ( SV1232 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1232 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ SV884 ) )
        = $false )
      | ( ( SV1232
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV55 @ SV1069 @ SV1232 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV55 @ ( c_Type_Oty_Oty__case @ SV279 @ SV489 @ SV690 @ SV884 @ SV1069 @ SV1232 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3014]) ).

thf(3087,plain,
    ! [SV691: $i,SV280: $i,SV1070: $i,SV885: $i,SV1233: $i,SV490: $i,SV56: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV56 @ SV490 ) )
        = $false )
      | ( ( SV1233 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1233 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ SV885 ) )
        = $false )
      | ( ( SV1233
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV56 @ SV1070 @ SV1233 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV56 @ ( c_Type_Oty_Oty__case @ SV280 @ SV490 @ SV691 @ SV885 @ SV1070 @ SV1233 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3015]) ).

thf(3088,plain,
    ! [SV886: $i,SV692: $i,SV1071: $i,SV1234: $i,SV491: $i,SV281: $i,SV57: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV57 @ SV281 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV57 @ SV491 ) )
        = $false )
      | ( ( SV1234 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1234 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1234
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV57 @ SV1071 @ SV1234 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV57 @ ( c_Type_Oty_Oty__case @ SV281 @ SV491 @ SV692 @ SV886 @ SV1071 @ SV1234 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3016]) ).

thf(3089,plain,
    ! [SV888: $i,SV694: $i,SV1073: $i,SV1236: $i,SV493: $i,SV283: $i,SV59: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV59 @ SV283 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV59 @ SV493 ) )
        = $false )
      | ( ( SV1236 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1236 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1236
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV59 @ SV1073 @ SV1236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV59 @ ( c_Type_Oty_Oty__case @ SV283 @ SV493 @ SV694 @ SV888 @ SV1073 @ SV1236 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3018]) ).

thf(3090,plain,
    ! [SV494: $i,SV284: $i,SV1074: $i,SV889: $i,SV1237: $i,SV695: $i,SV60: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
        = $false )
      | ( ( ( SV1237 = c_Type_Oty_OBoolean )
          | ( SV1237 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3019]) ).

thf(3091,plain,
    ! [SV495: $i,SV285: $i,SV1075: $i,SV890: $i,SV1238: $i,SV696: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
        = $false )
      | ( ( ( SV1238 = c_Type_Oty_OBoolean )
          | ( SV1238 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3020]) ).

thf(3092,plain,
    ! [SV891: $i,SV496: $i,SV1076: $i,SV697: $i,SV286: $i,SV62: $i,SV1239: $i] :
      ( ( ( SV1239 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV62 @ SV286 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
        = $false )
      | ( ( SV1239 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3021]) ).

thf(3093,plain,
    ! [SV892: $i,SV497: $i,SV1077: $i,SV698: $i,SV287: $i,SV63: $i,SV1240: $i] :
      ( ( ( SV1240 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV63 @ SV287 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
        = $false )
      | ( ( SV1240 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3022]) ).

thf(3094,plain,
    ! [SV699: $i,SV498: $i,SV1078: $i,SV893: $i,SV288: $i,SV64: $i,SV1241: $i] :
      ( ( ( SV1241 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ SV288 ) ) )
        = $true )
      | ( ( SV1241 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3023]) ).

thf(3095,plain,
    ! [SV700: $i,SV499: $i,SV1079: $i,SV894: $i,SV289: $i,SV65: $i,SV1242: $i] :
      ( ( ( SV1242 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV65 @ SV289 ) ) )
        = $true )
      | ( ( SV1242 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3024]) ).

thf(3096,plain,
    ! [SV895: $i,SV290: $i,SV1080: $i,SV701: $i,SV1243: $i,SV500: $i,SV66: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV66 @ SV500 ) ) )
        = $true )
      | ( ( SV1243 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
        = $false )
      | ( ( SV1243 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3025]) ).

thf(3097,plain,
    ! [SV896: $i,SV291: $i,SV1081: $i,SV702: $i,SV1244: $i,SV501: $i,SV67: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV67 @ SV501 ) ) )
        = $true )
      | ( ( SV1244 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
        = $false )
      | ( ( SV1244 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3026]) ).

thf(3098,plain,
    ! [SV703: $i,SV292: $i,SV1082: $i,SV897: $i,SV1245: $i,SV502: $i,SV68: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ SV502 ) ) )
        = $true )
      | ( ( SV1245 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1245 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3027]) ).

thf(3099,plain,
    ! [SV704: $i,SV293: $i,SV1083: $i,SV898: $i,SV1246: $i,SV503: $i,SV69: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV69 @ SV503 ) ) )
        = $true )
      | ( ( SV1246 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1246 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3028]) ).

thf(3100,plain,
    ! [SV899: $i,SV705: $i,SV1084: $i,SV1247: $i,SV294: $i,SV504: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV70 @ SV294 ) ) )
        = $true )
      | ( ( SV1247 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1247 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3029]) ).

thf(3101,plain,
    ! [SV900: $i,SV706: $i,SV1085: $i,SV1248: $i,SV295: $i,SV505: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV295 ) ) )
        = $true )
      | ( ( SV1248 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1248 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3030]) ).

thf(3102,plain,
    ! [SV506: $i,SV1086: $i,SV901: $i,SV707: $i,SV296: $i,SV72: $i,SV1249: $i] :
      ( ( ( SV1249 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ SV296 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
        = $false )
      | ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3031]) ).

thf(3103,plain,
    ! [SV508: $i,SV1088: $i,SV903: $i,SV709: $i,SV298: $i,SV74: $i,SV1251: $i] :
      ( ( ( SV1251 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ SV298 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
        = $false )
      | ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3032]) ).

thf(3104,plain,
    ! [SV300: $i,SV1090: $i,SV905: $i,SV711: $i,SV1253: $i,SV510: $i,SV76: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV76 @ SV510 ) ) )
        = $true )
      | ( ( SV1253 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
        = $false )
      | ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3033]) ).

thf(3105,plain,
    ! [SV301: $i,SV1091: $i,SV906: $i,SV712: $i,SV1254: $i,SV511: $i,SV77: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV77 @ SV511 ) ) )
        = $true )
      | ( ( SV1254 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
        = $false )
      | ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3034]) ).

thf(3106,plain,
    ! [SV907: $i,SV1092: $i,SV1255: $i,SV713: $i,SV302: $i,SV512: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV78 @ SV302 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
        = $false )
      | ( ( SV1255 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3035]) ).

thf(3107,plain,
    ! [SV909: $i,SV1094: $i,SV1257: $i,SV715: $i,SV304: $i,SV514: $i,SV80: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV304 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
        = $false )
      | ( ( SV1257 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3036]) ).

thf(3108,plain,
    ! [SV716: $i,SV1095: $i,SV910: $i,SV1258: $i,SV305: $i,SV515: $i,SV81: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV81 @ SV305 ) ) )
        = $true )
      | ( ( SV1258 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
        = $false )
      | ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3037]) ).

thf(3109,plain,
    ! [SV718: $i,SV1097: $i,SV912: $i,SV1260: $i,SV307: $i,SV517: $i,SV83: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV307 ) ) )
        = $true )
      | ( ( SV1260 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
        = $false )
      | ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3038]) ).

thf(3110,plain,
    ! [SV518: $i,SV1098: $i,SV913: $i,SV308: $i,SV1261: $i,SV719: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
        = $false )
      | ( ( ( SV1261 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3039]) ).

thf(3111,plain,
    ! [SV519: $i,SV1099: $i,SV914: $i,SV309: $i,SV1262: $i,SV720: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
        = $false )
      | ( ( ( SV1262 = c_Type_Oty_OBoolean )
          | ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3040]) ).

thf(3112,plain,
    ! [SV310: $i,SV1100: $i,SV915: $i,SV1263: $i,SV520: $i,SV721: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
          | ( SV1263 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3041]) ).

thf(3113,plain,
    ! [SV311: $i,SV1101: $i,SV916: $i,SV1264: $i,SV521: $i,SV722: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
          | ( SV1264 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3042]) ).

thf(3114,plain,
    ! [SV917: $i,SV1102: $i,SV1265: $i,SV723: $i,SV312: $i,SV522: $i,SV88: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV522 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
        = $false )
      | ( ( SV1265 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3043]) ).

thf(3115,plain,
    ! [SV918: $i,SV1103: $i,SV1266: $i,SV724: $i,SV313: $i,SV523: $i,SV89: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV523 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
        = $false )
      | ( ( SV1266 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3044]) ).

thf(3116,plain,
    ! [SV725: $i,SV1104: $i,SV919: $i,SV1267: $i,SV314: $i,SV524: $i,SV90: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV524 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( SV1267 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3045]) ).

thf(3117,plain,
    ! [SV726: $i,SV1105: $i,SV920: $i,SV1268: $i,SV315: $i,SV525: $i,SV91: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV525 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( SV1268 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3046]) ).

thf(3118,plain,
    ! [SV1106: $i,SV1269: $i,SV921: $i,SV727: $i,SV317: $i,SV527: $i,SV93: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV527 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        = $false )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3047]) ).

thf(3119,plain,
    ! [SV1108: $i,SV1271: $i,SV923: $i,SV729: $i,SV319: $i,SV529: $i,SV95: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV529 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        = $false )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3048]) ).

thf(3120,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV320: $i,SV530: $i,SV730: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
          | ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3049]) ).

thf(3121,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV321: $i,SV531: $i,SV731: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
          | ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3050]) ).

thf(3122,plain,
    ! [SV733: $i,SV1111: $i,SV1391: $i,SV927: $i,SV1423: $i,SV1345: $i,SV1274: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ( ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 ) )
        = $true )
      | ( ( ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3051]) ).

thf(3123,plain,
    ! [SV734: $i,SV1112: $i,SV1392: $i,SV928: $i,SV1424: $i,SV1346: $i,SV1275: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ( ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 ) )
        = $true )
      | ( ( ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3052]) ).

thf(3124,plain,
    ! [SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i,SV1276: $i,SV1447: $i,SV929: $i,SV1113: $i] :
      ( ( ( SV1113
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SV1447 @ SV1276 ) ) )
        = $true )
      | ( ( ( SV1113 = c_Type_Oty_ONT )
          | ( SV1113 = c_Type_Oty_OInteger )
          | ( SV1113 = c_Type_Oty_OBoolean )
          | ( SV1113 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
          = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SV1447 @ SV1113 @ SV1276 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3053]) ).

thf(3125,plain,
    ! [SV594: $i,SV1426: $i,SV1395: $i,SV789: $i,SV172: $i,SV1356: $i,SV1296: $i,SV1152: $i,SV978: $i,SV392: $i] :
      ( ( ( SV392 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1296 @ SV1356 @ SV172 @ SV392 @ SV789 )
          = ( c_Type_Oty_Oty__case @ SV978 @ SV1152 @ SV1395 @ SV1426 @ SV594 @ SV392 @ SV789 ) )
        = $true )
      | ( ( SV392 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV172 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) )
          = ( hAPP @ SV594 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV392 @ SV172 @ SV594 @ SV789 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3054]) ).

thf(3126,plain,
    ! [SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV801: $i,SV606: $i,SV404: $i,SV185: $i] :
      ( ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
          = ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        = $false )
      | ( ( ( SV404 = c_Type_Oty_ONT )
          | ( SV404 = c_Type_Oty_OInteger )
          | ( SV404 = c_Type_Oty_OBoolean )
          | ( SV404 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
            = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3055]) ).

thf(3127,plain,
    ! [SV614: $i,SV1428: $i,SV1399: $i,SV808: $i,SV193: $i,SV1361: $i,SV1304: $i,SV1165: $i,SV995: $i,SV412: $i] :
      ( ( ( SV412 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV995 @ SV1165 @ SV1304 @ SV1361 @ SV193 @ SV412 @ SV808 )
          = ( c_Type_Oty_Oty__case @ SV995 @ SV1399 @ SV1428 @ SV1361 @ SV614 @ SV412 @ SV808 ) )
        = $true )
      | ( ( SV412 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( hAPP @ SV193 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) )
          = ( hAPP @ SV614 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV412 @ SV193 @ SV614 @ SV808 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3056]) ).

thf(3128,plain,
    ! [SV620: $i,SV1429: $i,SV1401: $i,SV814: $i,SV199: $i,SV1364: $i,SV1309: $i,SV1171: $i,SV1001: $i,SV418: $i] :
      ( ( ( SV418 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1001 @ SV1171 @ SV1309 @ SV1364 @ SV199 @ SV418 @ SV814 )
          = ( c_Type_Oty_Oty__case @ SV1401 @ SV1171 @ SV1309 @ SV1429 @ SV620 @ SV418 @ SV814 ) )
        = $true )
      | ( ( SV418 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV199 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) )
          = ( hAPP @ SV620 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV418 @ SV199 @ SV620 @ SV814 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3057]) ).

thf(3129,plain,
    ! [SV621: $i,SV1430: $i,SV1402: $i,SV815: $i,SV200: $i,SV1365: $i,SV1310: $i,SV1172: $i,SV1002: $i,SV419: $i] :
      ( ( ( SV419 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1002 @ SV1172 @ SV1310 @ SV1365 @ SV200 @ SV419 @ SV815 )
          = ( c_Type_Oty_Oty__case @ SV1002 @ SV1402 @ SV1310 @ SV1430 @ SV621 @ SV419 @ SV815 ) )
        = $true )
      | ( ( SV419 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV200 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) )
          = ( hAPP @ SV621 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV419 @ SV200 @ SV621 @ SV815 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3058]) ).

thf(3130,plain,
    ! [SV626: $i,SV1443: $i,SV1431: $i,SV1405: $i,SV820: $i,SV208: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV424: $i] :
      ( ( ( SV424 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV424 = c_Type_Oty_OInteger )
          | ( SV424 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
            = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SV1443 @ SV626 @ SV424 @ SV820 ) ) )
        = $true )
      | ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
          = ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3059]) ).

thf(3131,plain,
    ! [SV629: $i,SV1444: $i,SV1432: $i,SV1407: $i,SV823: $i,SV213: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV427: $i] :
      ( ( ( SV427 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV427 = c_Type_Oty_OBoolean )
          | ( SV427 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
            = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SV1444 @ SV629 @ SV427 @ SV823 ) ) )
        = $true )
      | ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
          = ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3060]) ).

thf(3132,plain,
    ! [SV633: $i,SV1445: $i,SV1433: $i,SV1408: $i,SV827: $i,SV218: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV432: $i] :
      ( ( ( SV432 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV432 = c_Type_Oty_OBoolean )
          | ( SV432 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
            = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SV1445 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) )
        = $true )
      | ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
          = ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3061]) ).

thf(3133,plain,
    ! [SV636: $i,SV1434: $i,SV1409: $i,SV830: $i,SV222: $i,SV1372: $i,SV1319: $i,SV1183: $i,SV1015: $i,SV435: $i] :
      ( ( ( SV435 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1015 @ SV1183 @ SV1319 @ SV1372 @ SV222 @ SV435 @ SV830 )
          = ( c_Type_Oty_Oty__case @ SV1409 @ SV1183 @ SV1434 @ SV1372 @ SV636 @ SV435 @ SV830 ) )
        = $true )
      | ( ( SV435 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( hAPP @ SV222 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) )
          = ( hAPP @ SV636 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV435 @ SV222 @ SV636 @ SV830 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3062]) ).

thf(3134,plain,
    ! [SV637: $i,SV1446: $i,SV1435: $i,SV1410: $i,SV831: $i,SV223: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV436: $i] :
      ( ( ( SV436 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV436 = c_Type_Oty_OInteger )
          | ( SV436 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
            = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SV1446 @ SV637 @ SV436 @ SV831 ) ) )
        = $true )
      | ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
          = ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3063]) ).

thf(3135,plain,
    ! [SV639: $i,SV1436: $i,SV1412: $i,SV833: $i,SV225: $i,SV1375: $i,SV1322: $i,SV1186: $i,SV1018: $i,SV438: $i] :
      ( ( ( SV438 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1018 @ SV1186 @ SV1322 @ SV1375 @ SV225 @ SV438 @ SV833 )
          = ( c_Type_Oty_Oty__case @ SV1412 @ SV1436 @ SV1322 @ SV1375 @ SV639 @ SV438 @ SV833 ) )
        = $true )
      | ( ( SV438 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( hAPP @ SV225 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) )
          = ( hAPP @ SV639 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV438 @ SV225 @ SV639 @ SV833 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3064]) ).

thf(3136,plain,
    ! [SV1196: $i,SV1033: $i,SV453: $i,SV243: $i,SV848: $i,SV1329: $i,SV654: $i,SV1376: $i,SV19: $i] :
      ( ( ( ~ ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3065]) ).

thf(3137,plain,
    ! [SV1413: $i,SV1377: $i,SV1330: $i,SV853: $i,SV659: $i,SV458: $i,SV248: $i,SV1201: $i,SV1437: $i,SV1038: $i,SV24: $i] :
      ( ( ( SV24
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV24 @ SV1038 @ SV1437 @ SV1201 ) ) )
        = $true )
      | ( ( SV24 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV248 @ SV458 @ SV659 @ SV853 @ SV1038 @ SV24 @ SV1201 )
          = ( c_Type_Oty_Oty__case @ SV1330 @ SV1377 @ SV659 @ SV1413 @ SV1437 @ SV24 @ SV1201 ) )
        = $true )
      | ( ( SV24 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV24 = c_Type_Oty_OBoolean )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3066]) ).

thf(3138,plain,
    ! [SV1438: $i,SV1414: $i,SV1378: $i,SV1331: $i,SV1202: $i,SV25: $i,SV1039: $i,SV854: $i,SV660: $i,SV459: $i,SV249: $i] :
      ( ( ( ( c_Type_Oty_Oty__case @ SV249 @ SV459 @ SV660 @ SV854 @ SV1039 @ SV25 @ SV1202 )
          = ( c_Type_Oty_Oty__case @ SV1331 @ SV1378 @ SV1414 @ SV854 @ SV1438 @ SV25 @ SV1202 ) )
        = $true )
      | ( ( SV25
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV25 @ SV1039 @ SV1438 @ SV1202 ) ) )
        = $true )
      | ( ( SV25 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV25 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV25 = c_Type_Oty_OInteger )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3067]) ).

thf(3139,plain,
    ! [SV1415: $i,SV1379: $i,SV1332: $i,SV664: $i,SV463: $i,SV253: $i,SV29: $i,SV1206: $i,SV1439: $i,SV858: $i,SV1043: $i] :
      ( ( ( SV1043 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1043 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1043 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1043
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1043 @ SV858 @ SV1439 @ SV1206 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV29 @ SV253 @ SV463 @ SV664 @ SV858 @ SV1043 @ SV1206 )
          = ( c_Type_Oty_Oty__case @ SV29 @ SV1332 @ SV1379 @ SV1415 @ SV1439 @ SV1043 @ SV1206 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3068]) ).

thf(3140,plain,
    ! [SV1416: $i,SV1380: $i,SV1333: $i,SV862: $i,SV668: $i,SV467: $i,SV257: $i,SV1210: $i,SV1440: $i,SV1047: $i,SV33: $i] :
      ( ( ( SV33 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV33 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV33
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV33 @ SV1047 @ SV1440 @ SV1210 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV257 @ SV467 @ SV668 @ SV862 @ SV1047 @ SV33 @ SV1210 )
          = ( c_Type_Oty_Oty__case @ SV1333 @ SV467 @ SV1380 @ SV1416 @ SV1440 @ SV33 @ SV1210 ) )
        = $true )
      | ( ( SV33 = c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3069]) ).

thf(3141,plain,
    ! [SV494: $i,SV284: $i,SV1074: $i,SV889: $i,SV695: $i,SV60: $i,SV1237: $i] :
      ( ( ( SV1237 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1237 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV60 @ SV695 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ SV889 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( hAPP @ SV1074 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV60 @ SV1074 @ SV1237 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV60 @ ( c_Type_Oty_Oty__case @ SV284 @ SV494 @ SV695 @ SV889 @ SV1074 @ SV1237 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3090]) ).

thf(3142,plain,
    ! [SV495: $i,SV285: $i,SV1075: $i,SV890: $i,SV696: $i,SV61: $i,SV1238: $i] :
      ( ( ( SV1238 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1238 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV61 @ SV696 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ SV890 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( hAPP @ SV1075 @ ( v_sko__Type__Xty__Xsplit__1 @ SV61 @ SV1075 @ SV1238 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV61 @ ( c_Type_Oty_Oty__case @ SV285 @ SV495 @ SV696 @ SV890 @ SV1075 @ SV1238 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3091]) ).

thf(3143,plain,
    ! [SV891: $i,SV496: $i,SV1076: $i,SV697: $i,SV1239: $i,SV286: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV62 @ SV286 ) )
        = $false )
      | ( ( SV1239 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ SV697 ) )
        = $false )
      | ( ( SV1239 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( hAPP @ SV1076 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV62 @ SV1076 @ SV1239 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV62 @ ( c_Type_Oty_Oty__case @ SV286 @ SV496 @ SV697 @ SV891 @ SV1076 @ SV1239 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3092]) ).

thf(3144,plain,
    ! [SV892: $i,SV497: $i,SV1077: $i,SV698: $i,SV1240: $i,SV287: $i,SV63: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV63 @ SV287 ) )
        = $false )
      | ( ( SV1240 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ SV698 ) )
        = $false )
      | ( ( SV1240 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( hAPP @ SV1077 @ ( v_sko__Type__Xty__Xsplit__1 @ SV63 @ SV1077 @ SV1240 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV63 @ ( c_Type_Oty_Oty__case @ SV287 @ SV497 @ SV698 @ SV892 @ SV1077 @ SV1240 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3093]) ).

thf(3145,plain,
    ! [SV699: $i,SV498: $i,SV1078: $i,SV893: $i,SV1241: $i,SV288: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV64 @ SV288 ) )
        = $false )
      | ( ( SV1241 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1241 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV64 @ SV893 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( hAPP @ SV1078 @ ( v_sko__Type__Xty__Xsplit__1 @ SV64 @ SV1078 @ SV1241 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV64 @ ( c_Type_Oty_Oty__case @ SV288 @ SV498 @ SV699 @ SV893 @ SV1078 @ SV1241 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3094]) ).

thf(3146,plain,
    ! [SV700: $i,SV499: $i,SV1079: $i,SV894: $i,SV1242: $i,SV289: $i,SV65: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV65 @ SV289 ) )
        = $false )
      | ( ( SV1242 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1242 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV65 @ SV894 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( hAPP @ SV1079 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV65 @ SV1079 @ SV1242 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV65 @ ( c_Type_Oty_Oty__case @ SV289 @ SV499 @ SV700 @ SV894 @ SV1079 @ SV1242 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3095]) ).

thf(3147,plain,
    ! [SV895: $i,SV290: $i,SV1080: $i,SV701: $i,SV1243: $i,SV500: $i,SV66: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV66 @ SV500 ) )
        = $false )
      | ( ( SV1243 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ SV701 ) )
        = $false )
      | ( ( SV1243 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( hAPP @ SV1080 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV66 @ SV1080 @ SV1243 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV66 @ ( c_Type_Oty_Oty__case @ SV290 @ SV500 @ SV701 @ SV895 @ SV1080 @ SV1243 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3096]) ).

thf(3148,plain,
    ! [SV896: $i,SV291: $i,SV1081: $i,SV702: $i,SV1244: $i,SV501: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV67 @ SV501 ) )
        = $false )
      | ( ( SV1244 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ SV702 ) )
        = $false )
      | ( ( SV1244 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( hAPP @ SV1081 @ ( v_sko__Type__Xty__Xsplit__1 @ SV67 @ SV1081 @ SV1244 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV67 @ ( c_Type_Oty_Oty__case @ SV291 @ SV501 @ SV702 @ SV896 @ SV1081 @ SV1244 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3097]) ).

thf(3149,plain,
    ! [SV703: $i,SV292: $i,SV1082: $i,SV897: $i,SV1245: $i,SV502: $i,SV68: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV68 @ SV502 ) )
        = $false )
      | ( ( SV1245 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1245 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV68 @ SV897 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( hAPP @ SV1082 @ ( v_sko__Type__Xty__Xsplit__1 @ SV68 @ SV1082 @ SV1245 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV68 @ ( c_Type_Oty_Oty__case @ SV292 @ SV502 @ SV703 @ SV897 @ SV1082 @ SV1245 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3098]) ).

thf(3150,plain,
    ! [SV704: $i,SV293: $i,SV1083: $i,SV898: $i,SV1246: $i,SV503: $i,SV69: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV69 @ SV503 ) )
        = $false )
      | ( ( SV1246 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1246 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV69 @ SV898 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( hAPP @ SV1083 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV69 @ SV1083 @ SV1246 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV69 @ ( c_Type_Oty_Oty__case @ SV293 @ SV503 @ SV704 @ SV898 @ SV1083 @ SV1246 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3099]) ).

thf(3151,plain,
    ! [SV899: $i,SV705: $i,SV1084: $i,SV1247: $i,SV504: $i,SV294: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV70 @ SV294 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV70 @ SV504 ) )
        = $false )
      | ( ( SV1247 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1247 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( hAPP @ SV1084 @ ( v_sko__Type__Xty__Xsplit__1 @ SV70 @ SV1084 @ SV1247 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV70 @ ( c_Type_Oty_Oty__case @ SV294 @ SV504 @ SV705 @ SV899 @ SV1084 @ SV1247 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3100]) ).

thf(3152,plain,
    ! [SV900: $i,SV706: $i,SV1085: $i,SV1248: $i,SV505: $i,SV295: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV71 @ SV295 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV71 @ SV505 ) )
        = $false )
      | ( ( SV1248 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1248 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV1085 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV71 @ SV1085 @ SV1248 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Type_Oty_Oty__case @ SV295 @ SV505 @ SV706 @ SV900 @ SV1085 @ SV1248 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3101]) ).

thf(3153,plain,
    ! [SV506: $i,SV1086: $i,SV901: $i,SV707: $i,SV1249: $i,SV296: $i,SV72: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV72 @ SV296 ) )
        = $false )
      | ( ( SV1249 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ SV707 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV72 @ SV901 ) )
        = $false )
      | ( ( SV1249
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV72 @ SV1086 @ SV1249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV72 @ ( c_Type_Oty_Oty__case @ SV296 @ SV506 @ SV707 @ SV901 @ SV1086 @ SV1249 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3102]) ).

thf(3154,plain,
    ! [SV508: $i,SV1088: $i,SV903: $i,SV709: $i,SV1251: $i,SV298: $i,SV74: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV74 @ SV298 ) )
        = $false )
      | ( ( SV1251 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ SV709 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV74 @ SV903 ) )
        = $false )
      | ( ( SV1251
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV74 @ SV1088 @ SV1251 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV74 @ ( c_Type_Oty_Oty__case @ SV298 @ SV508 @ SV709 @ SV903 @ SV1088 @ SV1251 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3103]) ).

thf(3155,plain,
    ! [SV300: $i,SV1090: $i,SV905: $i,SV711: $i,SV1253: $i,SV510: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV76 @ SV510 ) )
        = $false )
      | ( ( SV1253 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ SV711 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV76 @ SV905 ) )
        = $false )
      | ( ( SV1253
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV76 @ SV1090 @ SV1253 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV76 @ ( c_Type_Oty_Oty__case @ SV300 @ SV510 @ SV711 @ SV905 @ SV1090 @ SV1253 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3104]) ).

thf(3156,plain,
    ! [SV301: $i,SV1091: $i,SV906: $i,SV712: $i,SV1254: $i,SV511: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV77 @ SV511 ) )
        = $false )
      | ( ( SV1254 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ SV712 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV77 @ SV906 ) )
        = $false )
      | ( ( SV1254
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV77 @ SV1091 @ SV1254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV77 @ ( c_Type_Oty_Oty__case @ SV301 @ SV511 @ SV712 @ SV906 @ SV1091 @ SV1254 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3105]) ).

thf(3157,plain,
    ! [SV907: $i,SV1092: $i,SV1255: $i,SV713: $i,SV512: $i,SV302: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV78 @ SV302 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV78 @ SV512 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV78 @ SV713 ) )
        = $false )
      | ( ( SV1255 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1255
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV78 @ SV1092 @ SV1255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV78 @ ( c_Type_Oty_Oty__case @ SV302 @ SV512 @ SV713 @ SV907 @ SV1092 @ SV1255 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3106]) ).

thf(3158,plain,
    ! [SV909: $i,SV1094: $i,SV1257: $i,SV715: $i,SV514: $i,SV304: $i,SV80: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV80 @ SV304 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV80 @ SV514 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV80 @ SV715 ) )
        = $false )
      | ( ( SV1257 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1257
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV80 @ SV1094 @ SV1257 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV80 @ ( c_Type_Oty_Oty__case @ SV304 @ SV514 @ SV715 @ SV909 @ SV1094 @ SV1257 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3107]) ).

thf(3159,plain,
    ! [SV716: $i,SV1095: $i,SV910: $i,SV1258: $i,SV515: $i,SV305: $i,SV81: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV81 @ SV305 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV81 @ SV515 ) )
        = $false )
      | ( ( SV1258 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ SV910 ) )
        = $false )
      | ( ( SV1258
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV81 @ SV1095 @ SV1258 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV81 @ ( c_Type_Oty_Oty__case @ SV305 @ SV515 @ SV716 @ SV910 @ SV1095 @ SV1258 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3108]) ).

thf(3160,plain,
    ! [SV718: $i,SV1097: $i,SV912: $i,SV1260: $i,SV517: $i,SV307: $i,SV83: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV83 @ SV307 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV83 @ SV517 ) )
        = $false )
      | ( ( SV1260 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ SV912 ) )
        = $false )
      | ( ( SV1260
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV83 @ SV1097 @ SV1260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV83 @ ( c_Type_Oty_Oty__case @ SV307 @ SV517 @ SV718 @ SV912 @ SV1097 @ SV1260 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3109]) ).

thf(3161,plain,
    ! [SV518: $i,SV1098: $i,SV913: $i,SV719: $i,SV308: $i,SV84: $i,SV1261: $i] :
      ( ( ( SV1261 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV84 @ SV308 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3110]) ).

thf(3162,plain,
    ! [SV519: $i,SV1099: $i,SV914: $i,SV720: $i,SV309: $i,SV85: $i,SV1262: $i] :
      ( ( ( SV1262 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ SV309 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3111]) ).

thf(3163,plain,
    ! [SV310: $i,SV1100: $i,SV915: $i,SV721: $i,SV1263: $i,SV520: $i,SV86: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV86 @ SV520 ) ) )
        = $true )
      | ( ( SV1263 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3112]) ).

thf(3164,plain,
    ! [SV311: $i,SV1101: $i,SV916: $i,SV722: $i,SV1264: $i,SV521: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV521 ) ) )
        = $true )
      | ( ( SV1264 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3113]) ).

thf(3165,plain,
    ! [SV917: $i,SV1102: $i,SV1265: $i,SV723: $i,SV312: $i,SV522: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ SV312 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
        = $false )
      | ( ( SV1265 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3114]) ).

thf(3166,plain,
    ! [SV918: $i,SV1103: $i,SV1266: $i,SV724: $i,SV313: $i,SV523: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV89 @ SV313 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
        = $false )
      | ( ( SV1266 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3115]) ).

thf(3167,plain,
    ! [SV725: $i,SV1104: $i,SV919: $i,SV1267: $i,SV314: $i,SV524: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV90 @ SV314 ) ) )
        = $true )
      | ( ( SV1267 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3116]) ).

thf(3168,plain,
    ! [SV726: $i,SV1105: $i,SV920: $i,SV1268: $i,SV315: $i,SV525: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV91 @ SV315 ) ) )
        = $true )
      | ( ( SV1268 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3117]) ).

thf(3169,plain,
    ! [SV1106: $i,SV1269: $i,SV921: $i,SV727: $i,SV317: $i,SV527: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV93 @ SV317 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        = $false )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3118]) ).

thf(3170,plain,
    ! [SV1108: $i,SV1271: $i,SV923: $i,SV729: $i,SV319: $i,SV529: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV95 @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        = $false )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3119]) ).

thf(3171,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV730: $i,SV320: $i,SV530: $i,SV96: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV530 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3120]) ).

thf(3172,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV731: $i,SV321: $i,SV531: $i,SV97: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV531 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3121]) ).

thf(3173,plain,
    ! [SV733: $i,SV1111: $i,SV1391: $i,SV927: $i,SV1423: $i,SV1345: $i,SV1274: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
        = $false )
      | ( ( ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3122]) ).

thf(3174,plain,
    ! [SV734: $i,SV1112: $i,SV1392: $i,SV928: $i,SV1424: $i,SV1346: $i,SV1275: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
        = $false )
      | ( ( ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
          | ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true )
      | ( ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3123]) ).

thf(3175,plain,
    ! [SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i,SV1276: $i,SV1447: $i,SV929: $i,SV1113: $i] :
      ( ( ( SV1113 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV1113 = c_Type_Oty_OInteger )
          | ( SV1113 = c_Type_Oty_OBoolean )
          | ( SV1113 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1113
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SV1447 @ SV1276 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
          = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SV1447 @ SV1113 @ SV1276 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3124]) ).

thf(3176,plain,
    ! [SV606: $i,SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV801: $i,SV185: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV404: $i] :
      ( ( ( SV404 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( SV404 = c_Type_Oty_OInteger )
          | ( SV404 = c_Type_Oty_OBoolean )
          | ( SV404 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
            = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) ) )
        = $true )
      | ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
          = ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3126]) ).

thf(3177,plain,
    ! [SV626: $i,SV1443: $i,SV1431: $i,SV1405: $i,SV820: $i,SV208: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV424: $i] :
      ( ( ( SV424 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV424 = c_Type_Oty_OBoolean )
          | ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
            = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SV1443 @ SV626 @ SV424 @ SV820 ) ) )
        = $true )
      | ( ( SV424 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
          = ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3130]) ).

thf(3178,plain,
    ! [SV629: $i,SV1444: $i,SV1432: $i,SV1407: $i,SV823: $i,SV213: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV427: $i] :
      ( ( ( SV427 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV427 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
            = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SV1444 @ SV629 @ SV427 @ SV823 ) ) )
        = $true )
      | ( ( SV427 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
          = ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3131]) ).

thf(3179,plain,
    ! [SV633: $i,SV1445: $i,SV1433: $i,SV1408: $i,SV827: $i,SV218: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV432: $i] :
      ( ( ( SV432 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV432 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
            = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SV1445 @ SV1371 @ SV633 @ SV432 @ SV827 ) ) )
        = $true )
      | ( ( SV432 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
          = ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3132]) ).

thf(3180,plain,
    ! [SV637: $i,SV1446: $i,SV1435: $i,SV1410: $i,SV831: $i,SV223: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV436: $i] :
      ( ( ( SV436 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV436 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
            = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SV1446 @ SV637 @ SV436 @ SV831 ) ) )
        = $true )
      | ( ( SV436 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
          = ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3134]) ).

thf(3181,plain,
    ! [SV1196: $i,SV1033: $i,SV453: $i,SV243: $i,SV848: $i,SV1329: $i,SV654: $i,SV1376: $i,SV19: $i] :
      ( ( ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) ) )
        = $true )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3136]) ).

thf(3182,plain,
    ! [SV518: $i,SV1098: $i,SV913: $i,SV719: $i,SV1261: $i,SV308: $i,SV84: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV84 @ SV308 ) )
        = $false )
      | ( ( SV1261 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV84 @ SV719 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ SV913 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( hAPP @ SV1098 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV84 @ SV1098 @ SV1261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV84 @ ( c_Type_Oty_Oty__case @ SV308 @ SV518 @ SV719 @ SV913 @ SV1098 @ SV1261 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3161]) ).

thf(3183,plain,
    ! [SV519: $i,SV1099: $i,SV914: $i,SV720: $i,SV1262: $i,SV309: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV85 @ SV309 ) )
        = $false )
      | ( ( SV1262 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV85 @ SV720 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ SV914 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( hAPP @ SV1099 @ ( v_sko__Type__Xty__Xsplit__1 @ SV85 @ SV1099 @ SV1262 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV85 @ ( c_Type_Oty_Oty__case @ SV309 @ SV519 @ SV720 @ SV914 @ SV1099 @ SV1262 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3162]) ).

thf(3184,plain,
    ! [SV310: $i,SV1100: $i,SV915: $i,SV721: $i,SV1263: $i,SV520: $i,SV86: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV86 @ SV520 ) )
        = $false )
      | ( ( SV1263 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV86 @ SV721 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ SV915 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( hAPP @ SV1100 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV86 @ SV1100 @ SV1263 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV86 @ ( c_Type_Oty_Oty__case @ SV310 @ SV520 @ SV721 @ SV915 @ SV1100 @ SV1263 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3163]) ).

thf(3185,plain,
    ! [SV311: $i,SV1101: $i,SV916: $i,SV722: $i,SV1264: $i,SV521: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV87 @ SV521 ) )
        = $false )
      | ( ( SV1264 = c_Type_Oty_OVoid )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV87 @ SV722 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ SV916 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV1101 @ ( v_sko__Type__Xty__Xsplit__1 @ SV87 @ SV1101 @ SV1264 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Type_Oty_Oty__case @ SV311 @ SV521 @ SV722 @ SV916 @ SV1101 @ SV1264 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3164]) ).

thf(3186,plain,
    ! [SV917: $i,SV1102: $i,SV1265: $i,SV723: $i,SV522: $i,SV312: $i,SV88: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV88 @ SV312 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ SV522 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ SV723 ) )
        = $false )
      | ( ( SV1265 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( hAPP @ SV1102 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV88 @ SV1102 @ SV1265 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV88 @ ( c_Type_Oty_Oty__case @ SV312 @ SV522 @ SV723 @ SV917 @ SV1102 @ SV1265 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3165]) ).

thf(3187,plain,
    ! [SV918: $i,SV1103: $i,SV1266: $i,SV724: $i,SV523: $i,SV313: $i,SV89: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV89 @ SV313 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ SV523 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ SV724 ) )
        = $false )
      | ( ( SV1266 = c_Type_Oty_ONT )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( hAPP @ SV1103 @ ( v_sko__Type__Xty__Xsplit__1 @ SV89 @ SV1103 @ SV1266 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV89 @ ( c_Type_Oty_Oty__case @ SV313 @ SV523 @ SV724 @ SV918 @ SV1103 @ SV1266 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3166]) ).

thf(3188,plain,
    ! [SV725: $i,SV1104: $i,SV919: $i,SV1267: $i,SV524: $i,SV314: $i,SV90: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV90 @ SV314 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ SV524 ) )
        = $false )
      | ( ( SV1267 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV90 @ SV919 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( hAPP @ SV1104 @ ( v_sko__Type__Xty__Xsplit__1 @ SV90 @ SV1104 @ SV1267 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV90 @ ( c_Type_Oty_Oty__case @ SV314 @ SV524 @ SV725 @ SV919 @ SV1104 @ SV1267 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3167]) ).

thf(3189,plain,
    ! [SV726: $i,SV1105: $i,SV920: $i,SV1268: $i,SV525: $i,SV315: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV91 @ SV315 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ SV525 ) )
        = $false )
      | ( ( SV1268 = c_Type_Oty_OInteger )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV91 @ SV920 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( hAPP @ SV1105 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV91 @ SV1105 @ SV1268 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV91 @ ( c_Type_Oty_Oty__case @ SV315 @ SV525 @ SV726 @ SV920 @ SV1105 @ SV1268 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3168]) ).

thf(3190,plain,
    ! [SV1106: $i,SV1269: $i,SV921: $i,SV727: $i,SV527: $i,SV317: $i,SV93: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV93 @ SV317 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV527 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV727 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV93 @ SV921 ) )
        = $false )
      | ( ( SV1269
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV93 @ SV1106 @ SV1269 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV93 @ ( c_Type_Oty_Oty__case @ SV317 @ SV527 @ SV727 @ SV921 @ SV1106 @ SV1269 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3169]) ).

thf(3191,plain,
    ! [SV1108: $i,SV1271: $i,SV923: $i,SV729: $i,SV529: $i,SV319: $i,SV95: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV95 @ SV319 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV529 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV95 @ SV923 ) )
        = $false )
      | ( ( SV1271
          = ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ SV95 @ SV1108 @ SV1271 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV95 @ ( c_Type_Oty_Oty__case @ SV319 @ SV529 @ SV729 @ SV923 @ SV1108 @ SV1271 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3170]) ).

thf(3192,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV730: $i,SV320: $i,SV530: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV96 @ SV320 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3171]) ).

thf(3193,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV731: $i,SV321: $i,SV531: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP @ SV97 @ SV321 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3172]) ).

thf(3194,plain,
    ! [SV1345: $i,SV1274: $i,SV733: $i,SV534: $i,SV324: $i,SV1111: $i,SV1391: $i,SV927: $i,SV1423: $i,SV100: $i] :
      ( ( ( ~ ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3173]) ).

thf(3195,plain,
    ! [SV1346: $i,SV1275: $i,SV734: $i,SV535: $i,SV325: $i,SV1112: $i,SV1392: $i,SV928: $i,SV1424: $i,SV101: $i] :
      ( ( ( ~ ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
        = $true )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3174]) ).

thf(3196,plain,
    ! [SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i,SV1276: $i,SV1447: $i,SV929: $i,SV1113: $i] :
      ( ( ( SV1113 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV1113 = c_Type_Oty_OBoolean )
          | ( SV1113 = c_Type_Oty_OVoid ) )
        = $true )
      | ( ( SV1113 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1113
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SV1447 @ SV1276 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
          = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SV1447 @ SV1113 @ SV1276 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3175]) ).

thf(3197,plain,
    ! [SV606: $i,SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV801: $i,SV185: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV404: $i] :
      ( ( ( SV404 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( SV404 = c_Type_Oty_OBoolean )
          | ( SV404 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
            = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) ) )
        = $true )
      | ( ( SV404 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
          = ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3176]) ).

thf(3198,plain,
    ! [SV626: $i,SV1443: $i,SV1431: $i,SV1405: $i,SV820: $i,SV208: $i,SV1368: $i,SV1314: $i,SV1176: $i,SV1007: $i,SV424: $i] :
      ( ( ( SV424 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1007 @ SV1176 @ SV1314 @ SV1368 @ SV208 @ SV424 @ SV820 )
          = ( c_Type_Oty_Oty__case @ SV1007 @ SV1405 @ SV1431 @ SV1443 @ SV626 @ SV424 @ SV820 ) )
        = $true )
      | ( ( SV424 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV424 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV208 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) )
          = ( hAPP @ SV626 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV424 @ SV208 @ SV626 @ SV820 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3177]) ).

thf(3199,plain,
    ! [SV629: $i,SV1444: $i,SV1432: $i,SV1407: $i,SV823: $i,SV213: $i,SV1370: $i,SV1316: $i,SV1179: $i,SV1010: $i,SV427: $i] :
      ( ( ( SV427 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1010 @ SV1179 @ SV1316 @ SV1370 @ SV213 @ SV427 @ SV823 )
          = ( c_Type_Oty_Oty__case @ SV1407 @ SV1432 @ SV1316 @ SV1444 @ SV629 @ SV427 @ SV823 ) )
        = $true )
      | ( ( SV427 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV427 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV213 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) )
          = ( hAPP @ SV629 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV427 @ SV213 @ SV629 @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3178]) ).

thf(3200,plain,
    ! [SV633: $i,SV1445: $i,SV1433: $i,SV1408: $i,SV827: $i,SV218: $i,SV1371: $i,SV1318: $i,SV1181: $i,SV1013: $i,SV432: $i] :
      ( ( ( SV432 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1013 @ SV1181 @ SV1318 @ SV1371 @ SV218 @ SV432 @ SV827 )
          = ( c_Type_Oty_Oty__case @ SV1408 @ SV1433 @ SV1445 @ SV1371 @ SV633 @ SV432 @ SV827 ) )
        = $true )
      | ( ( SV432 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV432 = c_Type_Oty_OInteger )
        = $true )
      | ( ( ( hAPP @ SV218 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) )
          = ( hAPP @ SV633 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV432 @ SV218 @ SV633 @ SV827 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3179]) ).

thf(3201,plain,
    ! [SV637: $i,SV1446: $i,SV1435: $i,SV1410: $i,SV831: $i,SV223: $i,SV1373: $i,SV1320: $i,SV1184: $i,SV1016: $i,SV436: $i] :
      ( ( ( SV436 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV1016 @ SV1184 @ SV1320 @ SV1373 @ SV223 @ SV436 @ SV831 )
          = ( c_Type_Oty_Oty__case @ SV1410 @ SV1184 @ SV1435 @ SV1446 @ SV637 @ SV436 @ SV831 ) )
        = $true )
      | ( ( SV436 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV436 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV223 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) )
          = ( hAPP @ SV637 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV436 @ SV223 @ SV637 @ SV831 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3180]) ).

thf(3202,plain,
    ! [SV1196: $i,SV1033: $i,SV848: $i,SV1329: $i,SV654: $i,SV1376: $i,SV453: $i,SV243: $i,SV19: $i] :
      ( ( ( c_WellType_OWT @ SV19 @ SV243 @ SV453 @ ( c_Type_Oty_OClass @ SV1376 ) )
        = $false )
      | ( ( c_TypeRel_Osees__field @ SV19 @ SV1376 @ SV654 @ SV1329 @ SV848 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ SV1033 @ SV1196 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV19 @ SV1196 @ SV1329 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellType_OWT @ SV19 @ SV243 @ ( c_Expr_Oexp_OFAss @ SV453 @ SV654 @ SV848 @ SV1033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3181]) ).

thf(3203,plain,
    ! [SV1272: $i,SV1109: $i,SV924: $i,SV730: $i,SV530: $i,SV320: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV96 @ SV320 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV530 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV730 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ SV924 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( hAPP @ SV1109 @ ( v_sko__Type__Xty__Xsplit__asm__1 @ SV96 @ SV1109 @ SV1272 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV96 @ ( c_Type_Oty_Oty__case @ SV320 @ SV530 @ SV730 @ SV924 @ SV1109 @ SV1272 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3192]) ).

thf(3204,plain,
    ! [SV1273: $i,SV1110: $i,SV925: $i,SV731: $i,SV531: $i,SV321: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP @ SV97 @ SV321 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV531 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV731 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ SV925 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( hAPP @ SV1110 @ ( v_sko__Type__Xty__Xsplit__1 @ SV97 @ SV1110 @ SV1273 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP @ SV97 @ ( c_Type_Oty_Oty__case @ SV321 @ SV531 @ SV731 @ SV925 @ SV1110 @ SV1273 @ t_a ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3193]) ).

thf(3205,plain,
    ! [SV1345: $i,SV1274: $i,SV733: $i,SV534: $i,SV324: $i,SV1111: $i,SV1391: $i,SV927: $i,SV1423: $i,SV100: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) ) )
        = $true )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3194]) ).

thf(3206,plain,
    ! [SV1346: $i,SV1275: $i,SV734: $i,SV535: $i,SV325: $i,SV1112: $i,SV1392: $i,SV928: $i,SV1424: $i,SV101: $i] :
      ( ( ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( ~ ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) ) )
        = $true )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3195]) ).

thf(3207,plain,
    ! [SV1441: $i,SV1425: $i,SV1393: $i,SV1347: $i,SV735: $i,SV536: $i,SV326: $i,SV102: $i,SV1276: $i,SV1447: $i,SV929: $i,SV1113: $i] :
      ( ( ( SV1113 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV1113 = c_Type_Oty_OVoid )
        = $true )
      | ( ( SV1113 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV1113 = c_Type_Oty_ONT )
        = $true )
      | ( ( SV1113
          = ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV1113 @ SV929 @ SV1447 @ SV1276 ) ) )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV102 @ SV326 @ SV536 @ SV735 @ SV929 @ SV1113 @ SV1276 )
          = ( c_Type_Oty_Oty__case @ SV1347 @ SV1393 @ SV1425 @ SV1441 @ SV1447 @ SV1113 @ SV1276 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3196]) ).

thf(3208,plain,
    ! [SV606: $i,SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV801: $i,SV185: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV404: $i] :
      ( ( ( SV404 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( ( SV404 = c_Type_Oty_OVoid )
          | ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
            = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) ) )
        = $true )
      | ( ( SV404 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV404 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
          = ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3197]) ).

thf(3209,plain,
    ! [SV1345: $i,SV1274: $i,SV1111: $i,SV1391: $i,SV927: $i,SV1423: $i,SV733: $i,SV534: $i,SV324: $i,SV100: $i] :
      ( ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV733 @ ( c_Type_Oty_OClass @ SV1423 ) )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV100 @ SV1423 @ SV927 @ SV1391 @ SV1111 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ SV1274 @ SV1345 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV100 @ SV1345 @ SV1391 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_WellTypeRT_OWTrt @ SV100 @ SV324 @ SV534 @ ( c_Expr_Oexp_OFAss @ SV733 @ SV927 @ SV1111 @ SV1274 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3205]) ).

thf(3210,plain,
    ! [SV1346: $i,SV1275: $i,SV1112: $i,SV1392: $i,SV928: $i,SV1424: $i,SV734: $i,SV535: $i,SV325: $i,SV101: $i] :
      ( ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV734 @ ( c_Type_Oty_OClass @ SV1424 ) )
        = $false )
      | ( ( c_TypeRel_Ohas__field @ SV101 @ SV1424 @ SV928 @ SV1392 @ SV1112 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ SV1275 @ SV1346 )
        = $false )
      | ( ( c_TypeRel_Owiden @ SV101 @ SV1346 @ SV1392 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
        = $false )
      | ( ( c_Progress_OWTrt_H @ SV101 @ SV325 @ SV535 @ ( c_Expr_Oexp_OFAss @ SV734 @ SV928 @ SV1112 @ SV1275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3206]) ).

thf(3211,plain,
    ! [SV606: $i,SV1448: $i,SV1442: $i,SV1427: $i,SV1398: $i,SV801: $i,SV185: $i,SV1360: $i,SV1302: $i,SV1161: $i,SV990: $i,SV404: $i] :
      ( ( ( SV404 = c_Type_Oty_OVoid )
        = $true )
      | ( ( ( c_Type_Oty_Oty__case @ SV990 @ SV1161 @ SV1302 @ SV1360 @ SV185 @ SV404 @ SV801 )
          = ( c_Type_Oty_Oty__case @ SV1398 @ SV1427 @ SV1442 @ SV1448 @ SV606 @ SV404 @ SV801 ) )
        = $true )
      | ( ( SV404 = c_Type_Oty_OBoolean )
        = $true )
      | ( ( SV404 = c_Type_Oty_OInteger )
        = $true )
      | ( ( SV404 = c_Type_Oty_ONT )
        = $true )
      | ( ( ( hAPP @ SV185 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) )
          = ( hAPP @ SV606 @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ SV404 @ SV185 @ SV606 @ SV801 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3208]) ).

thf(3212,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[537,3211,3210,3209,3207,3204,3203,3202,3201,3200,3199,3198,3191,3190,3189,3188,3187,3186,3185,3184,3183,3182,3160,3159,3158,3157,3156,3155,3154,3153,3152,3151,3150,3149,3148,3147,3146,3145,3144,3143,3142,3141,3140,3139,3138,3137,3135,3133,3129,3128,3127,3125,3089,3088,3087,3086,3085,3084,3083,3082,3081,3080,3079,3078,3077,3076,3075,3074,3073,3072,3071,3070,3017,3013,3012,3008,3005,3001,2991,2990,2989,2987,2986,2985,2982,2981,2980,2979,2976,2971,2965,2963,2962,2961,2960,2959,2958,2957,2956,2955,2878,2877,2876,2875,2874,2865,2864,2861,2858,2853,2851,2849,2846,2826,2823,2819,2817,2759,2758,2757,2754,2753,2736,2731,2730,2727,2631,2630,2617,2612,2611,2607,2602,2599,2598,2589,2588,2587,2586,2581,2575,2571,2480,2478,2468,2464,2462,2460,2447,2446,2441,2439,2438,2428,2427,2339,2338,2337,2329,2320,2316,2313,2305,2301,2300,2296,2291,2290,2289,2281,2280,2279,2278,2276,2274,2261,2260,2259,2252,2148,2120,2111,2106,2102,2095,2091,2090,2084,2082,2081,2078,2077,2073,2063,2062,2061,2058,2054,2051,2050,2049,1942,1938,1921,1919,1915,1898,1860,1745,1743,1728,1634,1436,1412,1406,1311,1307,1299,1297,1295,1293,1291,1287,1270,1255,1252,1205,1081,1073,1064,1063,1062,1056,1048,1043,1035,1032,1028,1019,1015,1011,960,847,770,769,765,764,750,748,743,737,722,702,671,652,640,629]) ).

thf(3213,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3212]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV957-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19  % Computer : n004.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Oct  6 16:47:54 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.41/7.32  .
% 42.41/7.32  
% 42.41/7.32   No.of.Axioms: 256
% 42.41/7.32  
% 42.41/7.32   Length.of.Defs: 0
% 42.41/7.32  
% 42.41/7.32   Contains.Choice.Funs: false
% 42.41/7.32  ......................................................................................................................................................................................
% 42.41/7.32  
% 42.41/7.32  ********************************
% 42.41/7.32  *   All subproblems solved!    *
% 42.41/7.32  ********************************
% 42.41/7.32  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:256,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:297,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3212,loop_count:0,foatp_calls:1,translation:fof_full)
% 42.41/7.32  
% 42.41/7.32  %**** Beginning of derivation protocol ****
% 42.41/7.32  % SZS output start CNFRefutation
% See solution above
% 42.41/7.34  
% 42.41/7.34  %**** End of derivation protocol ****
% 42.41/7.34  %**** no. of clauses in derivation: 3213 ****
% 42.41/7.34  %**** clause counter: 3212 ****
% 42.41/7.34  
% 42.41/7.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:256,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:297,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3212,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------